31398136985124224
31,398,136,985,124,224 is an even composite number composed of five prime numbers multiplied together.
What does the number 31398136985124224 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
31398136985124224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 31398136985124224:
27 × 7 × 17 × 533 × 614
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 53 × 53 × 53 × 61 × 61 × 61 × 61)See below for interesting mathematical facts about the number 31398136985124224 from the Numbermatics database.
Names of 31398136985124224
- Cardinal: 31398136985124224 can be written as Thirty-one quadrillion, three hundred ninety-eight trillion, one hundred thirty-six billion, nine hundred eighty-five million, one hundred twenty-four thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 3.1398136985124224 × 1016
Factors of 31398136985124224
Divisors of 31398136985124224
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 53 56 61 64 68 106 112 119 122 128 136 212 224 238 244 272 371 424 427 448 476 488 544 742 848 854 896 901 952 976 1037 1088 1484 1696 1708 1802 1904 1952 2074 2176 2809 2968 3233 3392 3416 3604 3721 3808 3904 4148 5618 5936 6307 6466 6784 6832 7208 7259 7442 7616 7808 8296 11236 11872 12614 12932 13664 14416 14518 14884 15232 16592 19663 22472 22631 23744 25228 25864 26047 27328 28832 29036 29768 33184 39326 44944 45262 47488 47753 50456 51728 52094 54656 54961 57664 58072 59536 63257 66368 78652 89888 90524 95506 100912 103456 104188 109922 115328 116144 119072 126514 132736 148877 157304 171349 179776 181048 191012 197213 201824 206912 208376 219844 226981 232288 238144 253028 297754 314608 334271 342698 359552 362096 382024 384727 394426 403648 413824 416752 439688 442799 453962 464576 476288 506056 595508 629216 668542 685396 724192 764048 769454 788852 807296 833504 879376 885598 907924 929152 1012112 1042139 1191016 1199443 1258432 1337084 1370792 1380491 1448384 1528096 1538908 1577704 1588867 1667008 1758752 1771196 1815848 2024224 2084278 2382032 2398886 2516864 2530909 2674168 2741584 2760982 2896768 2912933 3056192 3077816 3155408 3177734 3334016 3352621 3517504 3542392 3631696 3858677 4048448 4168556 4764064 4797772 5061818 5348336 5483168 5521964 5825866 6112384 6155632 6310816 6355468 6705242 7035008 7084784 7263392 7717354 8096896 8337112 9081497 9528128 9595544 10123636 10452289 10696672 10966336 11043928 11651732 12029993 12311264 12621632 12710936 13410484 13845841 14169568 14526784 15434708 16674224 17716363 18162994 19056256 19191088 20247272 20390531 20904578 21393344 21932672 22087856 23303464 23468347 24059986 24622528 25243264 25421872 26820968 27010739 27691682 28339136 29053568 30869416 33348448 35432726 36325988 38382176 40494544 40781062 41809156 42786688 44175712 46606928 46936694 48119972 49245056 50843744 53641936 54021478 55383364 56678272 61738832 63570479 66696896 70865452 72651976 73166023 76764352 80989088 81562124 83618312 84209951 88351424 93213856 93873388 96239944 96920887 101687488 107283872 108042956 110766728 123477664 127140958 133393792 141730904 145303952 146332046 153528704 154385449 161978176 163124248 167236624 168419902 176702848 177688913 186427712 187746776 192479888 193841774 203374976 204509881 214567744 216085912 221533456 235379297 246955328 254281916 283461808 290607904 292664092 308770898 323956352 326248496 334473248 336839804 355377826 372855424 375493552 384959776 387683548 409019762 429135488 432171824 443066912 470758594 493910656 508563832 553971317 566923616 581215808 585328184 617541796 637589629 652496992 668946496 673679608 710755652 733829573 750987104 769919552 775367096 818039524 864343648 886133824 941517188 1017127664 1080698143 1107942634 1133847232 1162431616 1170656368 1235083592 1243822391 1275179258 1304993984 1337892992 1347359216 1421511304 1431569167 1467659146 1501974208 1539839104 1550734192 1636079048 1647655079 1728687296 1772267648 1883034376 2034255328 2161396286 2215885268 2267694464 2341312736 2470167184 2487644782 2550358516 2609987968 2694718432 2843022608 2863138334 2935318292 3003948416 3101468384 3272158096 3295310158 3457374592 3766068752 3877799219 4068510656 4322792572 4431770536 4463127403 4682625472 4940334368 4975289564 5100717032 5136807011 5389436864 5686045216 5726276668 5870636584 6202936768 6544316192 6590620316 7532137504 7755598438 8137021312 8645585144 8863541072 8926254806 9365250944 9417512389 9880668736 9950579128 10201434064 10273614022 10778873728 10839023693 11372090432 11452553336 11741273168 12405873536 12475102741 13088632384 13181240632 15064275008 15511196876 17291170288 17727082144 17852509612 18835024778 19761337472 19901158256 20402868128 20547228044 21678047386 22744180864 22905106672 23482546336 24950205482 26177264768 26362481264 30128550016 31022393752 33792250337 34582340576 35454164288 35705019224 37670049556 38892967369 39802316512 40805736256 41094456088 43356094772 45810213344 46965092672 49900410964 52724962528 62044787504 65922586723 67584500674 69164681152 70908328576 71410038448 75340099112 75873165851 77785934738 79604633024 81611472512 82188912176 86712189544 87325719187 91620426688 93930185344 99800821928 105449925056 124089575008 131845173446 135169001348 138329362304 142820076896 150680198224 151746331702 155571869476 159209266048 164377824352 173424379088 174651438374 183240853376 199601643856 210899850112 236545752359 248179150016 263690346892 270338002696 272250771583 285640153792 301360396448 303492663404 311143738952 328755648704 346848758176 349302876748 399203287712 473091504718 496358300032 527380693784 540676005392 544501543166 571280307584 574468255729 602720792896 606985326808 622287477904 657511297408 661180445273 693697516352 698605753496 798406575424 946183009436 1054761387568 1081352010784 1089003086332 1148936511458 1205441585792 1213970653616 1244574955808 1322360890546 1387395032704 1397211506992 1596813150848 1892366018872 2061327270557 2109522775136 2162704021568 2178006172664 2297873022916 2427941307232 2489149911616 2644721781092 2794423013984 3784732037744 4021277790103 4122654541114 4219045550272 4325408043136 4356012345328 4595746045832 4628263116911 4855882614464 4978299823232 5289443562184 5588846027968 7569464075488 8042555580206 8245309082228 8438091100544 8712024690656 9191492091664 9256526233822 9711765228928 10578887124368 11177692055936 14429290893899 15138928150976 16085111160412 16490618164456 17424049381312 18382984183328 18513052467644 21157774248736 28858581787798 30277856301952 32170222320824 32981236328912 34848098762624 35042563599469 36765968366656 37026104935288 42315548497472 57717163575596 64340444641648 65962472657824 70085127198938 73531936733312 74052209870576 84631096994944 115434327151192 128680889283296 131924945315648 140170254397876 148104419741152 230868654302384 245297945196283 257361778566592 263849890631296 280340508795752 296208839482304 461737308604768 490595890392566 514723557133184 560681017591504 592417678964608 923474617209536 981191780785132 1121362035183008 1846949234419072 1962383561570264 2242724070366016 3924767123140528 4485448140732032 7849534246281056 15699068492562112 31398136985124224
- Sum of all divisors σ(n): 78433334047944000
- Sum of proper divisors (its aliquot sum) s(n): 47035197062819776
- 31398136985124224 is an abundant number, because the sum of its proper divisors (47035197062819776) is greater than itself. Its abundance is 15637060077695552
Bases of 31398136985124224
- Binary: 11011111000110001110000011100011001101101111101100000002
- Hexadecimal: 0x6F8C70719B7D80
- Base-36: 8L5PL052I68
Squares and roots of 31398136985124224
- 31398136985124224 squared (313981369851242242) is 985843006136625694562664711602176
- 31398136985124224 cubed (313981369851242243) is 30953633752504434545143632471791993333213428711424
-
The
square root of 31398136985124224 is 177195194.5881270901 -
The
cube root of 31398136985124224 is 315477.1871765571
Scales and comparisons
How big is 31398136985124224?- 31,398,136,985,124,224 seconds is equal to 998,363,635 years, 16 weeks, 1 day, 18 hours, 3 minutes, 44 seconds.
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To count from 1 to 31,398,136,985,124,224 would take you about two billion, nine hundred ninety-five million, ninety thousand, nine hundred five 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 31398136985124224 cubic inches would be around 26289.8 feet tall.
Recreational maths with 31398136985124224
- 31398136985124224 backwards is 42242158963189313
- The number of decimal digits it has is: 17
- The sum of 31398136985124224's digits is 71
- More coming soon!
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The information we have on file for 31398136985124224 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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