31421972110464
31,421,972,110,464 is an even composite number composed of six prime numbers multiplied together.
What does the number 31421972110464 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
31421972110464 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 31421972110464:
27 × 33 × 132 × 37 × 1072 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 37 × 107 × 107 × 127)See below for interesting mathematical facts about the number 31421972110464 from the Numbermatics database.
Names of 31421972110464
- Cardinal: 31421972110464 can be written as Thirty-one trillion, four hundred twenty-one billion, nine hundred seventy-two million, one hundred ten thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 3.1421972110464 × 1013
Factors of 31421972110464
Divisors of 31421972110464
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 48 52 54 64 72 74 78 96 104 107 108 111 117 127 128 144 148 156 169 192 208 214 216 222 234 254 288 296 312 321 333 338 351 381 384 416 428 432 444 468 481 507 508 576 592 624 642 666 676 702 762 832 856 864 888 936 962 963 999 1014 1016 1143 1152 1184 1248 1284 1332 1352 1391 1404 1443 1521 1524 1651 1664 1712 1728 1776 1872 1924 1926 1998 2028 2032 2286 2368 2496 2568 2664 2704 2782 2808 2886 2889 3042 3048 3302 3424 3429 3456 3552 3744 3848 3852 3959 3996 4056 4064 4173 4329 4563 4572 4699 4736 4953 4992 5136 5328 5408 5564 5616 5772 5778 6084 6096 6253 6604 6848 6858 7104 7488 7696 7704 7918 7992 8112 8128 8346 8658 9126 9144 9398 9906 10272 10656 10816 11128 11232 11449 11544 11556 11877 12168 12192 12506 12519 12987 13208 13589 13696 13716 14097 14208 14859 14976 15392 15408 15836 15984 16224 16256 16692 17316 18083 18252 18288 18759 18796 19812 20544 21312 21463 21632 22256 22464 22898 23088 23112 23754 24336 24384 25012 25038 25974 26416 27178 27432 28194 29718 30784 30816 31672 31968 32448 33384 34347 34632 35631 36166 36504 36576 37518 37557 37592 39624 40767 41088 42291 42624 42926 44512 44577 44928 45796 46176 46224 47508 48672 48768 50024 50076 51467 51948 52832 54249 54356 54864 56277 56388 59436 61087 61568 61632 63344 63936 64389 64896 66768 68694 69264 71262 72332 73008 73152 75036 75114 75184 79248 81534 84582 85852 89024 89154 91592 92352 92448 95016 97344 100048 100152 102934 103041 103896 105664 106893 108498 108712 109728 112554 112776 118872 122174 122301 123264 126688 126873 127872 128778 133536 137388 138528 142524 144664 146016 146304 148837 150072 150228 150368 154401 158496 162747 163068 168831 169164 171704 176657 178048 178308 183184 183261 184704 184896 190032 193167 194688 200096 200304 205868 206082 207792 211328 213786 216996 217424 219456 225108 225552 237744 244348 244602 253376 253746 257556 267072 274776 277056 285048 289328 292032 297674 300144 300456 300736 308802 309123 316992 325494 326136 337662 338328 343408 353314 356616 366368 366522 366903 369792 380064 386334 400192 400608 411736 412164 415584 423613 427572 433992 434848 438912 446511 450216 451104 463203 475488 488241 488696 489204 502793 506752 507492 515112 529971 534144 549552 549783 554112 570096 578656 579501 584064 595348 600288 600912 601472 617604 618246 633984 650988 652272 669071 675324 676656 686816 706628 713232 732736 733044 733806 760128 772668 794131 800384 801216 823472 824328 831168 847226 855144 867984 869696 893022 900432 902208 926406 950976 976482 977392 978408 1005586 1014984 1030224 1059942 1099104 1099566 1140192 1157312 1159002 1190696 1200576 1201824 1235208 1236492 1270839 1301976 1304544 1338142 1339533 1350648 1353312 1373632 1389609 1413256 1426464 1454023 1465472 1466088 1467612 1508379 1520256 1545336 1588262 1589913 1602432 1646944 1648656 1649349 1662336 1694452 1710288 1735968 1739392 1786044 1800864 1804416 1852812 1901952 1934881 1952964 1954784 1956816 2007213 2011172 2029968 2060448 2119884 2198208 2199132 2280384 2296541 2314624 2318004 2381392 2382393 2401152 2403648 2470416 2472984 2541678 2603952 2609088 2676284 2679066 2701296 2706624 2747264 2779218 2826512 2852928 2908046 2932176 2935224 3016758 3090672 3176524 3179826 3293888 3297312 3298698 3388904 3420576 3471936 3572088 3601728 3705624 3812517 3869762 3905928 3909568 3913632 4014426 4018599 4022344 4059936 4120896 4239768 4362069 4396416 4398264 4525137 4560768 4593082 4636008 4762784 4764786 4769739 4807296 4940832 4945968 5083356 5207904 5218176 5352568 5358132 5402592 5413248 5506969 5558436 5653024 5705856 5804643 5816092 5864352 5870448 6021639 6033516 6181344 6353048 6359652 6536309 6587776 6594624 6597396 6777808 6841152 6889623 6943872 7144176 7147179 7203456 7411248 7625034 7739524 7811856 7819136 7827264 8028852 8037198 8044688 8119872 8241792 8479536 8724138 8796528 9050274 9186164 9272016 9525568 9529572 9539478 9881664 9891936 10166712 10415808 10705136 10716264 10805184 11013938 11116872 11306048 11437551 11609286 11632184 11728704 11740896 12043278 12067032 12362688 12706096 12719304 13072618 13086207 13189248 13194792 13555616 13575411 13682304 13779246 14288352 14294358 14822496 15250068 15479048 15623712 15654528 16057704 16074396 16089376 16239744 16520907 16959072 17413929 17448276 17593056 18064917 18100548 18372328 18544032 18902299 19051136 19059144 19078956 19608927 19763328 19783872 20333424 20668869 20831616 21410272 21432528 21441537 21610368 22027876 22233744 22612096 22875102 23218572 23264368 23457408 23481792 24086556 24134064 24725376 25412192 25438608 26145236 26172414 26389584 27111232 27150822 27558492 28576704 28588716 29644992 30500136 30958096 31247424 32115408 32148792 32178752 33041814 33918144 34827858 34896552 35186112 36129834 36201096 36744656 37088064 37804598 38118288 38157912 39217854 39258621 39567744 40666848 41337738 42820544 42865056 42883074 44055752 44467488 45750204 46437144 46528736 46963584 48173112 48268128 49562721 50824384 50877216 52241787 52290472 52344828 52779168 53798851 54222464 54301644 55116984 56706897 57153408 57177432 58826781 59289984 61000272 61916192 62006607 62494848 64230816 64297584 64357504 66083628 67836288 69655716 69793104 70372224 71590597 72259668 72402192 73489312 74176128 75609196 76236576 76315824 78435708 78517242 81333696 82675476 84972017 85641088 85730112 85766148 88111504 88934976 91500408 92874288 93057472 96346224 96536256 99125442 101648768 101754432 104483574 104580944 104689656 105558336 107597702 108603288 110233968 113413794 114354864 117653562 122000544 123832384 124013214 128461632 128595168 132167256 139311432 139586208 143181194 144519336 144804384 146978624 148688163 151218392 152473152 152631648 156871416 157034484 161396553 162667392 165350952 169944034 170120691 171460224 171532296 176223008 176480343 177869952 183000816 185748576 186114944 192692448 193072512 198250884 203508864 208967148 209161888 209379312 211116672 214771791 215195404 217206576 220467936 226827588 228709728 235307124 244001088 245729887 247664768 248026428 254916051 256923264 257190336 264334512 278622864 279172416 286362388 289038672 289608768 293957248 297376326 302436784 304946304 305263296 313742832 314068968 322793106 330701904 339888068 340241382 343064592 352446016 352960686 366001632 371497152 385384896 396501768 417934296 418323776 418758624 429543582 430390808 434413152 440935872 453655176 457419456 470614248 484189659 488002176 491459774 496052856 509832102 510362073 514380672 528669024 557245728 558344832 572724776 578077344 579217536 594752652 604873568 610526592 627485664 628137936 644315373 645586212 661403808 679776136 680482764 686129184 699385063 704892032 705921372 732003264 737189661 742994304 764748153 770769792 793003536 835868592 836647552 837517248 859087164 860781616 868826304 881871744 907310352 914838912 941228496 968379318 982919548 992105712 1019664204 1020724146 1057338048 1114491456 1145449552 1156154688 1189505304 1209747136 1254971328 1256275872 1288630746 1291172424 1322807616 1359552272 1360965528 1372258368 1398770126 1411842744 1452568977 1464006528 1474379322 1529496306 1586007072 1671737184 1675034496 1718174328 1721563232 1737652608 1814620704 1882456992 1932946119 1936758636 1965839096 1984211424 2039328408 2041448292 2098155189 2114676096 2211568983 2228982912 2290899104 2294244459 2312309376 2379010608 2419494272 2509942656 2512551744 2577261492 2582344848 2645615232 2719104544 2721931056 2744516736 2797540252 2823685488 2905137954 2948758644 3058992612 3172014144 3343474368 3436348656 3443126464 3629241408 3764913984 3865892238 3873517272 3931678192 3968422848 4078656816 4082896584 4196310378 4423137966 4581798208 4588488918 4758021216 5025103488 5154522984 5164689696 5438209088 5443862112 5595080504 5647370976 5810275908 5897517288 6117985224 6294465567 6344028288 6634706949 6686948736 6872697312 6886252928 7258482816 7529827968 7731784476 7747034544 7863356384 7936845696 8157313632 8165793168 8392620756 8846275932 9092005819 9163596416 9176977836 9516042432 10309045968 10329379392 10876418176 10887724224 11190161008 11294741952 11620551816 11795034576 12235970448 12588931134 13269413898 13745394624 15463568952 15494069088 15726712768 16314627264 16331586336 16785241512 17692551864 18184011638 18353955672 18883396701 19032084864 20618091936 20658758784 21775448448 22380322016 22589483904 23241103632 23590069152 24471940896 25177862268 26538827796 27276017457 27490789248 30927137904 30988138176 31453425536 32629254528 32663172672 33570483024 35385103728 36368023276 36707911344 37766793402 41236183872 44760644032 46482207264 47180138304 48943881792 50355724536 53077655592 54552034914 61854275808 61976276352 65326345344 67140966048 70770207456 72736046552 73415822688 75533586804 81828052371 82472367744 89521288064 92964414528 94360276608 97887763584 100711449072 106155311184 109104069828 123708551616 134281932096 141540414912 145472093104 146831645376 151067173608 163656104742 185928829056 201422898144 212310622368 218208139656 245484157113 247417103232 268563864192 283080829824 290944186208 293663290752 302134347216 327312209484 402845796288 424621244736 436416279312 490968314226 581888372416 604268694432 654624418968 805691592576 849242489472 872832558624 981936628452 1163776744832 1208537388864 1309248837936 1745665117248 1963873256904 2417074777728 2618497675872 3491330234496 3927746513808 5236995351744 7855493027616 10473990703488 15710986055232 31421972110464
- Sum of all divisors σ(n): 104927648716800
- Sum of proper divisors (its aliquot sum) s(n): 73505676606336
- 31421972110464 is an abundant number, because the sum of its proper divisors (73505676606336) is greater than itself. Its abundance is 42083704495872
Bases of 31421972110464
- Binary: 1110010010011111111110111110001011100100000002
- Hexadecimal: 0x1C93FF7C5C80
- Base-36: B4Z1YWIO0
Squares and roots of 31421972110464
- 31421972110464 squared (314219721104642) is 987340331310777442218295296
- 31421972110464 cubed (314219721104643) is 31024180353983534445528612055845483577344
-
The
square root of 31421972110464 is 5605530.4932239911 -
The
cube root of 31421972110464 is 31555.6995907157
Scales and comparisons
How big is 31421972110464?- 31,421,972,110,464 seconds is equal to 999,121 years, 26 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 31,421,972,110,464 would take you about two million, four hundred ninety-seven thousand, eight hundred 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 31421972110464 cubic inches would be around 2629.6 feet tall.
Recreational maths with 31421972110464
- 31421972110464 backwards is 46401127912413
- The number of decimal digits it has is: 14
- The sum of 31421972110464's digits is 45
- More coming soon!
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The information we have on file for 31421972110464 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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