13442070625396875
13,442,070,625,396,875 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13442070625396875 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13442070625396875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13442070625396875:
32 × 55 × 73 × 113 × 232 × 1979
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 23 × 23 × 1979)See below for interesting mathematical facts about the number 13442070625396875 from the Numbermatics database.
Names of 13442070625396875
- Cardinal: 13442070625396875 can be written as Thirteen quadrillion, four hundred forty-two trillion, seventy billion, six hundred twenty-five million, three hundred ninety-six thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.3442070625396875 × 1016
Factors of 13442070625396875
Divisors of 13442070625396875
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 11 15 21 23 25 33 35 45 49 55 63 69 75 77 99 105 115 121 125 147 161 165 175 207 225 231 245 253 275 315 343 345 363 375 385 441 483 495 525 529 539 575 605 625 693 735 759 805 825 847 875 1029 1035 1089 1125 1127 1155 1225 1265 1331 1375 1449 1575 1587 1617 1715 1725 1771 1815 1875 1925 1979 2205 2277 2415 2475 2541 2625 2645 2695 2783 2875 3025 3087 3125 3381 3465 3675 3703 3773 3795 3993 4025 4125 4235 4375 4761 4851 5145 5175 5313 5445 5625 5635 5775 5819 5929 5937 6125 6325 6655 6875 7245 7623 7875 7889 7935 8085 8349 8575 8625 8855 9075 9317 9375 9625 9895 10143 11025 11109 11319 11385 11979 12075 12375 12397 12705 13125 13225 13475 13853 13915 14375 15125 15435 15939 16905 17325 17457 17787 17811 18375 18515 18865 18975 19481 19965 20125 20625 21175 21769 21875 23667 23805 24255 25047 25725 25875 25921 26565 27225 27951 28125 28175 28875 29095 29645 29685 30613 30625 31625 33275 33327 33957 34375 36225 37191 38115 39375 39445 39675 40425 40733 41503 41559 41745 42875 43125 44275 45375 45517 46585 48125 49475 50715 52371 53361 55125 55545 56595 56925 58443 59895 60375 61875 61985 63525 64009 65219 65307 65625 66125 67375 69265 69575 71001 71875 75625 77175 77763 79695 83853 84525 86625 86779 87285 88935 89055 91839 91875 92575 94325 94875 96971 97405 99825 100625 103125 105875 108845 111573 118335 119025 121275 122199 124509 124677 125235 128625 129375 129605 132825 136125 136367 136551 139755 140875 144375 145475 148225 148425 152383 153065 153125 158125 166375 166635 169785 175329 181125 181447 185955 190575 192027 195657 195921 196875 197225 198375 202125 203665 207515 207795 208725 214291 214375 215625 221375 226875 227585 232925 233289 239459 240625 247375 253575 260337 261855 266805 275517 275625 277725 282975 284625 285131 290913 292215 299475 301875 309375 309925 317625 318619 320045 326095 326535 330625 336875 346325 347875 355005 366597 373527 378125 385875 388815 398475 409101 409653 419265 422625 433125 433895 436425 444675 445275 448063 456533 457149 459195 459375 462875 471625 474375 484855 487025 499125 500687 503125 529375 544225 544341 557865 576081 586971 591675 595125 606375 610995 622545 623385 626175 642873 643125 646875 648025 664125 678797 680625 681835 682755 698775 704099 704375 718377 721875 727375 741125 742125 761915 765325 781011 790625 831875 833175 848925 855393 872739 876645 905625 907235 929775 952875 954569 955857 960135 978285 979605 986125 991875 1010625 1018325 1037575 1038975 1043625 1046891 1066681 1071455 1071875 1106875 1134375 1137925 1164625 1166445 1197295 1227303 1236875 1267875 1301685 1309275 1334025 1344189 1369599 1371447 1377585 1378125 1388625 1414875 1423125 1425655 1454565 1461075 1497375 1500037 1502061 1509375 1549625 1588125 1593095 1600225 1630475 1632675 1633023 1653125 1676213 1684375 1731625 1739375 1775025 1832985 1867635 1928619 1929375 1944075 1992375 1995917 2036391 2045505 2048265 2096325 2112297 2113125 2155131 2165625 2169475 2182125 2223375 2226375 2230333 2240315 2282665 2285745 2295975 2314375 2358125 2371875 2424275 2435125 2495625 2503435 2566179 2634049 2646875 2721125 2721705 2789325 2863707 2867571 2880405 2934855 2958375 2975625 3031875 3054975 3112725 3116925 3130875 3136441 3140673 3200043 3214365 3215625 3240125 3320625 3393985 3403125 3409175 3413775 3493875 3504809 3520495 3521875 3591885 3636875 3705625 3710625 3809575 3826625 3905055 4032567 4108797 4159375 4165875 4244625 4276965 4363695 4383225 4500111 4506183 4528125 4536175 4648875 4764375 4772845 4779285 4800675 4891425 4898025 4928693 4930625 4959375 5028639 5053125 5091625 5187875 5194875 5218125 5234455 5333405 5357275 5507557 5534375 5689625 5823125 5832225 5986475 5987751 6109173 6136515 6184375 6336891 6339375 6508425 6546375 6670125 6690999 6720945 6847995 6857235 6887925 6943125 7074375 7115625 7128275 7272825 7305375 7328237 7466767 7486875 7500185 7510305 7748125 7902147 7940625 7965475 8001125 8152375 8163375 8165115 8381065 8591121 8658125 8696875 8875125 9164925 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12937819125 12955276125 13200177375 13300750155 13552182105 13631203575 13721929375 13740444375 14000188125 14062846875 14081821875 14106856225 14457337125 14816525625 14842866115 15333539375 15402165625 15714496875 15834226375 16133550125 16158762585 17001828459 17211115625 17563872375 17642480625 18112946775 18137386575 18480248325 18621050217 18711721875 19083685005 19091165625 19236622125 19687985625 19714550625 19749598715 19802784375 20240271975 20743135875 20780012561 20901178815 20909371875 21466955125 21563031875 21592126875 22000295625 22167916925 22586970175 22718672625 22900740625 23333646875 24095561875 24694209375 24699472875 25392341205 26717159007 26847253125 26931270975 27600370875 27723898125 28336380765 28501607475 29040390225 29261650341 29273120625 29404134375 29443809375 30000403125 30188244625 30228977625 30800413875 30980008125 31035083695 31806141675 32061036875 32813309375 32857584375 33733786625 34571893125 34835298025 35549277687 35986878125 36667159375 37864454375 38640519225 38813457375 39902250465 40656546315 41165788125 41221333125 42000564375 42188540625 42320568675 43372011375 43449117173 44528598345 44885451625 46000618125 46206496875 47143490625 47227301275 47502679125 48400650375 48769417235 48788534375 50381629375 51334023125 51633346875 53010236125 54338840325 55863150651 56135165625 57619821875 57709866375 59063956875 59248796145 60720815925 62340037683 62703536445 62728115625 64400865375 64689095625 64776380625 66000886875 66503750775 67760910525 68156017875 68277184129 68609646875 68702221875 70000940625 70534281125 72286685625 74082628125 74214330575 76667696875 79171131875 80667750625 80793812925 85009142295 87784951023 87819361875 88212403125 90564733875 90686932875 92401241625 93105251085 95418425025 96183110625 98439928125 98572753125 98747993575 101201359875 103715679375 103900062805 104505894075 107334775625 107815159375 107960634375 110001478125 110839584625 112934850875 113593363125 120477809375 123497364375 126961706025 130347351519 133585795035 134656354875 138001854375 138619490625 141681903825 142508037375 145201951125 146308251705 146365603125 150941223125 151144888125 154002069375 154900040625 155175418475 159030708375 160305184375 168668933125 172859465625 174176490125 177746388435 187020113049 189322271875 193202596125 194067286875 199511252325 203282731575 204831552387 205828940625 206106665625 210002821875 211602843375 216860056875 217245585865 222642991725 224427258125 230003090625 236136506375 237513395625 242003251875 243847086175 251908146875 256670115625 265051180625 271694201625 279315753255 288549331875 295319784375 296243980725 303604079625 311700188415 313517682225 322004326875 323445478125 323881903125 330004434375 332518753875 338804552625 340780089375 341385920645 352671405625 361433428125 371071652875 391042054557 395855659375 403338753125 403969064625 425045711475 438924755115 439096809375 452823669375 453434664375 462006208125 465526255425 477092125125 477940288903 480915553125 493739967875 506006799375 518578396875 519500314025 522529470375 536673878125 554197923125 564674254375 567966815625 614494657161 617486821875 634808530125 651736757595 667928975175 673281774375 690009271875 708409519125 712540186875 726009755625 731541258525 754706115625 755724440625 770010346875 775877092375 795153541875 843344665625 870882450625 888731942175 935100565245 966012980625 970336434375 997556261625 1016413657875 1024157761935 1058014216875 1084300284375 1086227929325 1113214958625 1122136290625 1180682531875 1187566978125 1210016259375 1219235430875 1325255903125 1358471008125 1396578766275 1433820866709 1442746659375 1481219903625 1518020398125 1558500942075 1567588411125 1610021634375 1662593769375 1694022763125 1703900446875 1706929603225 1763357028125 1855358264375 1955210272785 2019845323125 2125228557375 2194623775575 2264118346875 2267173321875 2310031040625 2327631277125 2385460625625 2389701444515 2468699839375 2530033996875 2597501570125 2612647351875 2770989615625 2823371271875 3072473285805 3174042650625 3258683787975 3339644875875 3366408871875 3542047595625 3562700934375 3630048778125 3657706292625 3879385461875 3975767709375 4301462600127 4354412253125 4443659710875 4675502826225 4830064903125 4987781308125 5082068289375 5120788809675 5290071084375 5431139646625 5566074793125 5903412659375 6096177154375 6792355040625 6982893831375 7169104333545 7406099518125 7590101990625 7792504710375 7837942055625 8312968846875 8470113815625 8534648016125 9276791321875 9776051363925 10099226615625 10626142786875 10973118877875 11638156385625 11927303128125 11948507222575 12343499196875 12987507850625 13063236759375 15362366429025 15870213253125 16293418939875 16698224379375 17710237978125 18288531463125 19396927309375 21507313000635 22218298554375 23377514131125 24938906540625 25410341446875 25603944048375 27155698233125 27830373965625 30480885771875 34914469156875 35845521667725 37030497590625 38962523551875 39189710278125 42673240080625 48880256819625 53130713934375 54865594389375 58190781928125 59742536112875 64937539253125 76811832145125 81467094699375 83491121896875 91442657315625 107536565003175 111091492771875 116887570655625 128019720241875 135778491165625 174572345784375 179227608338625 194812617759375 213366200403125 244401284098125 274327971946875 298712680564375 384059160725625 407335473496875 537682825015875 584437853278125 640098601209375 896138041693125 1222006420490625 1493563402821875 1920295803628125 2688414125079375 4480690208465625 13442070625396875
- Sum of all divisors σ(n): 32558694360192000
- Sum of proper divisors (its aliquot sum) s(n): 19116623734795125
- 13442070625396875 is an abundant number, because the sum of its proper divisors (19116623734795125) is greater than itself. Its abundance is 5674553109398250
Bases of 13442070625396875
- Binary: 1011111100000101111101111101001010110000101000100010112
- Hexadecimal: 0x2FC17DF4AC288B
- Base-36: 3OCTDZUDRWR
Squares and roots of 13442070625396875
- 13442070625396875 squared (134420706253968752) is 180689262698157534183751259765625
- 13442070625396875 cubed (134420706253968753) is 2428837830439522683007167432581428478485107421875
-
The
square root of 13442070625396875 is 115939944.0460313273 -
The
cube root of 13442070625396875 is 237769.0874396427
Scales and comparisons
How big is 13442070625396875?- 13,442,070,625,396,875 seconds is equal to 427,416,266 years, 43 weeks, 2 days, 6 hours, 41 minutes, 15 seconds.
-
To count from 1 to 13,442,070,625,396,875 would take you about one billion, two hundred eighty-two million, two hundred forty-eight thousand, eight hundred years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13442070625396875 cubic inches would be around 19814.1 feet tall.
Recreational maths with 13442070625396875
- 13442070625396875 backwards is 57869352607024431
- The number of decimal digits it has is: 17
- The sum of 13442070625396875's digits is 72
- More coming soon!
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"Number 13442070625396875 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 13442070625396875 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/13442070625396875/
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Numbermatics. 2024. "Number 13442070625396875 - Facts about the integer". https://numbermatics.com/n/13442070625396875/
The information we have on file for 13442070625396875 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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