71984468144512

Names of 71984468144512

• Cardinal: 71984468144512 can be written as Seventy-one trillion, nine hundred eighty-four billion, four hundred sixty-eight million, one hundred forty-four thousand, five hundred twelve.

Scientific notation

• Scientific notation: 7.1984468144512 × 10¹³

Factors of 71984468144512

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 84

Divisors of 71984468144512

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 23 28 32 41 44 46 56 64 77 82 88 92 112 121 128 154 161 164 176 184 224 242 253 287 308 322 328 352 368 448 451 484 506 529 574 616 644 656 704 736 847 896 902 943 968 1012 1058 1148 1232 1288 1312 1331 1408 1472 1694 1771 1804 1886 1936 2024 2116 2296 2464 2576 2624 2662 2783 2944 3157 3388 3542 3608 3703 3772 3872 4048 4232 4592 4928 4961 5152 5248 5324 5566 5819 6314 6601 6776 7084 7216 7406 7544 7744 8096 8464 9184 9317 9856 9922 10304 10373 10648 11132 11638 12167 12628 13202 13552 14168 14432 14641 14812 15088 15488 16192 16928 18368 18634 19481 19844 20608 20746 21296 21689 22264 23276 24334 25256 26404 27104 28336 28864 29282 29624 30176 30613 32384 33856 34727 36736 37268 38962 39688 40733 41492 42592 43378 44528 46552 48668 50512 52808 54208 54571 56672 57728 58564 59248 60352 61226 64009 67712 69454 72611 74536 77924 79376 81466 82984 85169 85184 86756 89056 93104 97336 101024 102487 105616 108416 109142 113344 114103 117128 118496 120704 122452 128018 133837 138908 145222 149072 151823 155848 158752 161051 162932 165968 170338 170368 173512 178112 186208 194672 202048 204974 211232 214291 218284 226688 228206 234256 236992 238579 244904 256036 267674 277816 290444 298144 303646 311696 317504 322102 325864 331936 336743 340676 347024 356224 372416 381997 389344 404096 409948 422464 428582 436568 448063 456412 468512 473984 477158 489808 498847 512072 535348 555632 580888 596288 600281 607292 623392 635008 644204 651728 663872 673486 681352 694048 704099 744832 763994 778688 798721 819896 844928 857164 873136 896126 912824 936859 937024 954316 979616 997694 1024144 1070696 1111264 1127357 1161776 1192576 1200562 1214584 1246784 1255133 1288408 1303456 1327744 1346972 1362704 1388096 1408198 1472207 1527988 1557376 1597442 1639792 1670053 1714328 1746272 1792252 1825648 1873718 1874048 1908632 1959232 1995388 2048288 2141392 2222528 2254714 2323552 2357201 2401124 2429168 2493568 2510266 2576816 2606912 2624369 2693944 2725408 2776192 2816396 2944414 3055976 3194884 3279584 3340106 3428656 3491929 3492544 3584504 3651296 3704173 3747436 3817264 3918464 3990776 4096576 4201967 4282784 4445056 4509428 4647104 4714402 4802248 4858336 4928693 5020532 5153632 5213824 5248738 5387888 5450816 5487317 5632792 5888828 6111952 6389768 6559168 6603091 6680212 6857312 6983858 6985088 7169008 7302592 7408346 7494872 7634528 7745089 7981552 8193152 8403934 8565568 8785931 9018856 9294208 9428804 9604496 9716672 9857386 10041064 10305449 10307264 10497476 10775776 10901632 10974634 11265584 11777656 12223904 12779536 13118336 13206182 13360424 13714624 13806463 13967716 14338016 14605184 14816692 14989744 15269056 15490178 15963104 16194277 16807868 17131136 17571862 18037712 18370583 18857608 19208992 19433344 19714772 20082128 20610898 20614528 20994952 21551552 21949268 22531168 23555312 24447808 25559072 25929211 26412364 26720848 27429248 27612926 27935432 28676032 28868059 29633384 29979488 30538112 30980356 31926208 32388554 33615736 35143724 36075424 36741166 37715216 38411219 38417984 39429544 40164256 41221796 41989904 43103104 43898536 45062336 46221637 47110624 48895616 51118144 51858422 52824728 53441696 54215623 55225852 55870864 57352064 57736118 59266768 59958976 60360487 61960712 63852416 64777108 67231472 70287448 72150848 73482332 75430432 76822438 76835968 78859088 80328512 82443592 83979808 85195979 87797072 90124672 92443274 94221248 96645241 102236288 103716844 105649456 106883392 108431246 110451704 111741728 113359939 115472236 118533536 119917952 120720974 123921424 129554216 134462944 140574896 144301696 146964664 150860864 151871093 153644876 157718176 160657024 164887184 167959616 170391958 175594144 178137047 184886548 188442496 193290482 202076413 207433688 211298912 213766784 216862492 220903408 223483456 226719878 230944472 237067072 241441948 247842848 259108432 268925888 281149792 293929328 301721728 303742186 307289752 315436352 317548649 329774368 335919232 340783916 351188288 356274094 369773096 386580964 404152826 414867376 422523409 422597824 433724984 441806816 446966912 453439756 461888944 474134144 482883896 495685696 518216864 537851776 562299584 587858656 596371853 607484372 614579504 630872704 635097298 659548736 663965357 681567832 702376576 712548188 739546192 773161928 808305652 829734752 845046818 845195648 867449968 883613632 906879512 923777888 965767792 991371392 1036433728 1063097651 1124599168 1175717312 1192743706 1214968744 1229159008 1246959329 1270194596 1319097472 1327930714 1363135664 1425096376 1479092384 1546323856 1616611304 1659469504 1690093636 1734899936 1767227264 1813759024 1847555776 1931535584 1959507517 2072867456 2126195302 2222840543 2351434624 2385487412 2429937488 2458318016 2493918658 2540389192 2655861428 2726271328 2850192752 2958184768 3092647712 3233222608 3318939008 3380187272 3469799872 3493035139 3627518048 3695111552 3863071168 3919015034 4252390604 4445681086 4647757499 4770974824 4859874976 4916636032 4987837316 5080778384 5311722856 5452542656 5700385504 5916369536 6185295424 6466445216 6760374544 6939599744 6986070278 7255036096 7303618927 7726142336 7838030068 8504781208 8891362172 9295514998 9541949648 9719749952 9975674632 10161556768 10623445712 10905085312 11400771008 12370590848 12932890432 13520749088 13716552619 13972140556 14510072192 14607237854 15676060136 17009562416 17782724344 18591029996 19083899296 19439499904 19951349264 20323113536 21246891424 22801542016 24451245973 25865780864 27041498176 27433105238 27944281112 29214475708 31352120272 34019124832 35565448688 37182059992 38167798592 39902698528 40646227072 42493782848 48902491946 51125332489 54082996352 54866210476 55888562224 58428951416 62704240544 68038249664 71130897376 74364119984 76335597184 79805397056 80339808197 84987565696 97804983892 102250664978 109732420952 111777124448 116857902832 125408481088 136076499328 142261794752 148728239968 159610794112 160679616394 195609967784 204501329956 219464841904 223554248896 233715805664 250816962176 284523589504 297456479936 321359232788 391219935568 409002659912 438929683808 447108497792 467431611328 562378657379 594912959872 642718465576 782439871136 818005319824 877859367616 934863222656 1124757314758 1285436931152 1564879742272 1636010639648 1755718735232 2249514629516 2570873862304 3129759484544 3272021279296 4499029259032 5141747724608 6544042558592 8998058518064 10283495449216 17996117036128 35992234072256 71984468144512
• Sum of all divisors σ(n): 193073395737600
• Sum of proper divisors (its aliquot sum) s(n): 121088927593088
• 71984468144512 is an abundant number, because the sum of its proper divisors (121088927593088) is greater than itself. Its abundance is 49104459448576

Bases of 71984468144512

• Binary: 10000010111100000110000101001110011000110000000₂
• Hexadecimal: 0x417830A73180
• Base-36: PIL7HQZ5S

Squares and roots of 71984468144512

• 71984468144512 squared (71984468144512²) is 5181763654048262900115718144
• 71984468144512 cubed (71984468144512³) is 373006500687227280362789677255310052425728
• The square root of 71984468144512 is 8484366.1015135361
• The cube root of 71984468144512 is 41598.6848050425

Scales and comparisons

• 71,984,468,144,512 seconds is equal to 2,288,883 years, 22 weeks, 11 hours, 41 minutes, 52 seconds.
• To count from 1 to 71,984,468,144,512 would take you about five million, seven hundred twenty-two thousand, two hundred eight 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 71984468144512 cubic inches would be around 3466.6 feet tall.

Recreational maths with 71984468144512

• 71984468144512 backwards is 21544186448917
• 71984468144512 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 71984468144512's digits is 64
• More coming soon!