42417624020928
42,417,624,020,928 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42417624020928 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
42417624020928 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42417624020928:
26 × 3 × 132 × 312 × 67 × 79 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 31 × 31 × 67 × 79 × 257)See below for interesting mathematical facts about the number 42417624020928 from the Numbermatics database.
Names of 42417624020928
- Cardinal: 42417624020928 can be written as Forty-two trillion, four hundred seventeen billion, six hundred twenty-four million, twenty thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2417624020928 × 1013
Factors of 42417624020928
Divisors of 42417624020928
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 67 78 79 93 96 104 124 134 156 158 169 186 192 201 208 237 248 257 268 312 316 338 372 402 403 416 474 496 507 514 536 624 632 676 744 771 804 806 832 871 948 961 992 1014 1027 1028 1072 1209 1248 1264 1352 1488 1542 1608 1612 1742 1896 1922 1984 2028 2054 2056 2077 2144 2418 2449 2496 2528 2613 2704 2883 2976 3081 3084 3216 3224 3341 3484 3792 3844 4056 4108 4112 4154 4288 4836 4898 5056 5226 5239 5293 5408 5766 5952 6162 6168 6231 6432 6448 6682 6968 7347 7584 7688 7967 8112 8216 8224 8308 9672 9796 10023 10452 10478 10586 10816 11323 11532 12324 12336 12462 12493 12864 12896 13351 13364 13936 14694 15168 15376 15717 15879 15934 16224 16432 16448 16616 17219 19344 19592 20046 20303 20904 20956 21172 22646 23064 23901 24648 24672 24924 24986 25792 26702 26728 27001 27872 29388 30752 31434 31758 31837 31868 32448 32864 33232 33969 34438 37479 38688 39184 40053 40092 40606 41808 41912 42344 43433 45292 46128 47802 49296 49344 49848 49972 51657 53404 53456 54002 55744 58776 60909 61504 62868 63516 63674 63736 64387 65728 66464 67938 68809 68876 74958 75919 77376 78368 80106 80184 81003 81212 83616 83824 84688 86866 90584 92256 95511 95604 98592 99696 99944 103314 103571 106808 106912 108004 117552 121818 125736 127032 127348 127472 128774 130299 132928 135876 137618 137752 149916 151838 156736 160212 160368 162006 162409 162424 164083 167232 167648 169376 173732 181168 184512 191022 191208 193161 197184 199392 199888 206427 206628 207142 213616 213824 216008 223847 227757 235104 243636 246977 251472 254064 254696 254944 257548 260598 263939 271752 275236 275504 299832 303676 310713 320424 320736 324012 324818 324848 328166 335296 338752 347464 351013 362336 382044 382416 386322 398784 399776 412854 413256 413881 414284 427232 432016 447694 455514 470208 487227 487272 492249 493954 502944 508128 509392 509888 515096 521196 527878 533789 543504 550472 551008 599664 607352 621426 629393 640848 641472 648024 649636 649696 656332 671541 694928 702026 724672 740931 764088 764832 772644 791817 799552 825708 826512 827762 828568 837031 854464 864032 894517 895388 911028 974454 974544 984498 986947 987908 1005888 1016256 1018784 1030192 1042392 1053039 1055756 1067578 1087008 1100944 1102016 1199328 1214704 1241643 1242852 1258786 1281696 1296048 1299272 1299392 1312664 1343082 1346423 1360301 1389856 1404052 1481862 1528176 1529664 1545288 1583634 1601367 1651416 1653024 1655524 1657136 1674062 1728064 1789034 1790776 1822056 1888179 1948908 1949088 1968996 1973894 1975816 2037568 2060384 2084784 2106078 2111512 2133079 2135156 2174016 2201888 2398656 2429408 2483286 2485704 2511093 2517572 2563392 2592096 2598544 2625328 2683551 2686164 2692846 2720602 2779712 2808104 2910011 2960841 2963724 3056352 3090576 3167268 3202734 3210701 3302832 3306048 3311048 3314272 3348124 3431207 3578068 3581552 3644112 3776358 3897816 3898176 3937992 3947788 3951632 4039269 4080903 4120768 4169568 4212156 4223024 4266158 4270312 4403776 4858816 4966572 4971408 5022186 5035144 5086573 5184192 5197088 5250656 5367102 5372328 5385692 5441204 5616208 5820022 5921682 5927448 6112704 6181152 6334536 6399237 6405468 6421402 6605664 6622096 6628544 6696248 6862414 6939257 7156136 7163104 7288224 7552716 7795632 7875984 7895576 7903264 8078538 8161806 8182109 8339136 8424312 8446048 8532316 8540624 8730033 9632103 9933144 9942816 10044372 10070288 10173146 10293621 10394176 10501312 10734204 10744656 10771384 10881403 10882408 11232416 11640044 11843364 11854896 12362304 12669072 12798474 12810936 12830311 12842804 13211328 13244192 13392496 13724828 13878514 14312272 14326208 14576448 15105432 15259719 15591264 15751968 15791152 15806528 16157076 16323612 16364218 16547459 16848624 16892096 17064632 17081248 17460066 17683913 19264206 19511183 19866288 19885632 20088744 20140576 20346292 20587242 20817771 21468408 21489312 21542768 21762806 21764816 22464832 23280088 23686728 23709792 24546327 25338144 25596948 25621872 25660622 25685608 26488384 26784992 27449656 27730027 27757028 28624544 30210864 30519438 31182528 31503936 31582304 32314152 32644209 32647224 32728436 33094918 33697248 34129264 34162496 34920132 35367826 38490933 38528412 39022366 39732576 40177488 40281152 40692584 41174484 41635542 41739113 42169331 42936816 42978624 43085536 43525612 43529632 46560176 47373456 47419584 49092654 49642377 50676288 51193896 51243744 51321244 51371216 53051739 53569984 54899312 55460054 55514056 57249088 58533549 60421728 61038876 63164608 64628304 65288418 65294448 65456872 66125449 66189836 67394496 68258528 69840264 70735652 76981866 77056824 78044732 79465152 80354976 81385168 82348968 83190081 83271084 83478226 84338662 85873632 86171072 87051224 87059264 90210341 93120352 94746912 98185308 99284754 102387792 102487488 102642488 102742432 106103478 106367417 109798624 110920108 111028112 117067098 120843456 122077752 125217339 126507993 129256608 130576836 130588896 130913744 132250898 132379672 136517056 139680528 141471304 153963732 154113648 156089464 160709952 162770336 164697936 166380162 166542168 166956452 168677324 171747264 174102448 180420682 186240704 189493824 196370616 198376347 198569508 204775584 205284976 205484864 212206956 212734834 215116967 219597248 221840216 222056224 229890869 234134196 244155504 250434678 253015986 253645379 258513216 261153672 261177792 261827488 264501796 264759344 270631023 279361056 282942608 307927464 308227296 312178928 319102251 325540672 329395872 332760324 333084336 333912904 337354648 348204896 360841364 392741232 396752694 397139016 409551168 410569952 424413912 425469668 430233934 443680432 444112448 459781738 468268392 488311008 500869356 506031972 507290758 522307344 523654976 529003592 529518688 541262046 548201303 558722112 565885216 615854928 616454592 624357856 638204502 645350901 658791744 665520648 666168672 667825808 674709296 689672607 696409792 721682728 760936137 785482464 793505388 794278032 821139904 848827824 850939336 859630837 860467868 887360864 919563476 936536784 976622016 1001738712 1012063944 1014581516 1044614688 1058007184 1059037376 1082524092 1096402606 1131770432 1231709856 1248715712 1276409004 1290701802 1307249261 1331041296 1332337344 1335651616 1349418592 1379345214 1443365456 1521872274 1570964928 1587010776 1588556064 1644603909 1697655648 1701878672 1719261674 1720935736 1774721728 1839126952 1873073568 2003477424 2024127888 2029163032 2089229376 2116014368 2165048184 2192805212 2463419712 2552818008 2578892511 2581403604 2614498522 2662082592 2671303232 2698837184 2758690428 2796520571 2886730912 3043744548 3174021552 3177112128 3289207818 3297389927 3395311296 3403757344 3438523348 3441871472 3678253904 3746147136 3921747783 4006954848 4048255776 4058326064 4232028736 4330096368 4385610424 5105636016 5157785022 5162807208 5228997044 5324165184 5517380856 5593041142 5773461824 6087489096 6348043104 6578415636 6594779854 6807514688 6877046696 6883742944 7126616939 7356507808 7843495566 8013909696 8096511552 8116652128 8389561713 8660192736 8771220848 9892169781 10211272032 10315570044 10325614416 10457994088 11034761712 11186082284 12174978192 12696086208 13156831272 13189559708 13754093392 13767485888 14253233878 14713015616 15686991132 16233304256 16779123426 16994240393 17320385472 17542441696 19784339562 20422544064 20631140088 20651228832 20915988176 21379850817 22069523424 22372164568 24349956384 26313662544 26379119416 27508186784 28506467756 31373982264 33558246852 33988480786 35084883392 39568679124 41262280176 41302457664 41831976352 42759701634 44139046848 44744329136 48699912768 50982721179 52627325088 52758238832 55016373568 57012935512 62747964528 67116493704 67976961572 79137358248 82524560352 83663952704 85519403268 89488658272 101965442358 105254650176 105516477664 114025871024 125495929056 134232987408 135953923144 158274716496 165049120704 171038806536 178977316544 203930884716 211032955328 220925125109 228051742048 250991858112 268465974816 271907846288 316549432992 342077613072 407861769432 441850250218 456103484096 536931949632 543815692576 633098865984 662775375327 684155226144 815723538864 883700500436 1087631385152 1325550750654 1368310452288 1631447077728 1767401000872 2651101501308 3262894155456 3534802001744 5302203002616 7069604003488 10604406005232 14139208006976 21208812010464 42417624020928
- Sum of all divisors σ(n): 129563495447040
- Sum of proper divisors (its aliquot sum) s(n): 87145871426112
- 42417624020928 is an abundant number, because the sum of its proper divisors (87145871426112) is greater than itself. Its abundance is 44728247405184
Bases of 42417624020928
- Binary: 10011010010100000111110110100101110111110000002
- Hexadecimal: 0x26941F6977C0
- Base-36: F1ADY5GAO
Squares and roots of 42417624020928
- 42417624020928 squared (424176240209282) is 1799254827580808070581981184
- 42417624020928 cubed (424176240209283) is 76320114794162351385723090339126518218752
-
The
square root of 42417624020928 is 6512881.3915906683 -
The
cube root of 42417624020928 is 34875.0987580413
Scales and comparisons
How big is 42417624020928?- 42,417,624,020,928 seconds is equal to 1,348,749 years, 12 weeks, 2 days, 11 hours, 8 minutes, 48 seconds.
-
To count from 1 to 42,417,624,020,928 would take you about three million, three hundred seventy-one thousand, eight hundred seventy-three 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 42417624020928 cubic inches would be around 2906.3 feet tall.
Recreational maths with 42417624020928
- 42417624020928 backwards is 82902042671424
- The number of decimal digits it has is: 14
- The sum of 42417624020928's digits is 51
- More coming soon!
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The information we have on file for 42417624020928 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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