31997102944224

Names of 31997102944224

• Cardinal: 31997102944224 can be written as Thirty-one trillion, nine hundred ninety-seven billion, one hundred two million, nine hundred forty-four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 3.1997102944224 × 10¹³

Factors of 31997102944224

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2271

Divisors of 31997102944224

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 31 32 33 38 44 48 57 62 66 73 76 88 93 96 114 124 132 146 152 176 186 209 219 228 248 264 292 304 341 352 372 409 418 438 456 496 528 584 589 608 627 682 744 803 818 836 876 912 992 1023 1056 1168 1178 1227 1254 1364 1387 1488 1606 1636 1672 1723 1752 1767 1824 2046 2263 2336 2356 2409 2454 2508 2728 2774 2976 3212 3272 3344 3446 3504 3534 4092 4161 4499 4526 4712 4818 4908 5016 5169 5456 5548 6424 6479 6544 6688 6789 6892 7008 7068 7771 8184 8322 8998 9052 9424 9636 9816 10032 10338 10912 11096 12679 12848 12958 13088 13497 13578 13784 14136 15257 15542 16368 16644 17996 18104 18848 18953 19272 19437 19632 20064 20676 22192 23313 24893 25358 25696 25916 26994 27156 27568 28272 29857 30514 31084 32736 32737 33288 35992 36208 37906 38037 38544 38874 39264 41352 42997 44384 45771 46626 49786 50716 51832 53413 53988 54312 55136 56544 56859 59714 61028 62168 65474 66576 71984 72416 74679 75812 76074 77088 77748 82704 85481 85994 89571 91542 93252 98211 99572 101432 103664 106826 107976 108624 113718 119428 122056 124336 125779 128991 130948 133152 139469 143968 149358 151624 152148 155496 160239 165408 170962 171988 179142 183084 186504 196422 199144 202864 207328 213652 215952 217248 227436 238856 240901 244112 248672 251558 256443 257982 261896 278938 298716 303248 304296 310992 320478 328427 341924 343976 358284 360107 366168 373008 377337 392844 398288 405728 418407 427304 431904 454872 472967 477712 481802 488224 503116 512886 515964 523792 557876 567283 587543 597432 606496 608592 621984 640956 656854 683848 687952 704707 716568 720214 722703 732336 746016 754674 785688 796576 836814 854608 909744 925567 945934 955424 963604 985281 1006232 1014847 1025772 1031928 1047584 1080321 1115752 1134566 1175086 1194864 1217184 1281912 1313708 1367696 1375904 1383569 1409414 1418901 1433136 1440428 1445406 1464672 1509348 1571376 1673628 1701849 1709216 1762629 1819488 1851134 1891868 1927208 1970562 2012464 2029694 2051544 2063856 2114121 2160642 2231504 2269132 2350172 2389728 2389801 2563824 2627416 2649911 2735392 2767138 2776701 2818828 2837802 2866272 2880856 2890812 3018696 3044541 3142752 3347256 3403698 3525258 3702268 3783736 3854416 3899149 3941124 4024928 4059388 4103088 4127712 4150707 4228242 4321284 4463008 4538264 4700344 4779602 5127648 5254832 5299822 5534276 5553402 5637656 5675604 5761712 5781624 6037392 6089082 6240113 6694512 6807396 7050516 7169403 7404536 7567472 7708832 7751777 7798298 7882248 7949733 8118776 8206176 8301414 8456484 8642568 9076528 9400688 9559204 10181237 10509664 10599644 11068552 11106804 11163317 11275312 11351208 11523424 11563248 11697447 12074784 12178164 12480226 13389024 13389433 13614792 14101032 14338806 14809072 15134944 15503554 15596596 15764496 15899466 16237552 16602828 16912968 17285136 17585773 18153056 18720339 18801376 19118408 20362474 21199288 21845917 22137104 22213608 22326634 22550624 22702416 23126496 23255331 23394894 24356328 24960452 26287811 26778866 27229584 28202064 28677612 29618144 30543711 31007108 31193192 31528992 31798932 32475104 33205656 33489951 33825936 34570272 35171546 37440678 38236816 40168299 40724948 42398576 42890639 43691834 44274208 44427216 44653268 45404832 46510662 46789788 48712656 49920904 51443611 52575622 52757319 53557732 54459168 56404128 57355224 61087422 62014216 62386384 63597864 65537751 66411312 66979902 67651872 70343092 74083831 74881356 76473632 78863433 80336598 81449896 84797152 85781278 87383668 88854432 89306536 93021324 93579576 97425312 99841808 102887222 105151244 105514638 107115464 114710448 122174844 124028432 124772768 127195728 128671917 131075502 132822624 133959804 140686184 147283763 148167662 149762712 154330833 157726866 160673196 162899792 171562556 174767336 178613072 186042648 187159152 193443503 199683616 205774444 210302488 211029276 214230928 222251493 229420896 240305087 244349688 248056864 254391456 257343834 262151004 267919608 281372368 294567526 296335324 299525424 308661666 315453732 321346392 325799584 343125112 349534672 357226144 372085296 374318304 386887006 411548888 415072423 420604976 422058552 428461856 441851289 444502986 480610174 488699376 514687668 524302008 535839216 562744736 565879721 580330509 589135052 592670648 599050848 617323332 630907464 642692784 686250224 699069344 720915261 744170592 773774012 814922141 823097776 830144846 841209952 844117104 883702578 889005972 961220348 977398752 977428609 1029375336 1048604016 1071678432 1131759442 1160661018 1178270104 1185341296 1234646664 1245217269 1261814928 1285385568 1372500448 1441830522 1547548024 1594751941 1629844282 1646195552 1660289692 1688234208 1697639163 1767405156 1778011944 1922440696 1954857218 2058750672 2097208032 2263518884 2321322036 2356540208 2370682592 2444766423 2469293328 2490434538 2523629856 2883661044 2932285827 3095096048 3189503882 3259688564 3320579384 3395278326 3534810312 3556023888 3844881392 3909714436 4117501344 4527037768 4565796653 4642644072 4713080416 4784255823 4889532846 4938586656 4980869076 5767322088 5864571654 6190192096 6379007764 6519377128 6641158768 6790556652 7069620624 7112047776 7689762784 7819428872 9054075536 9131593306 9285288144 9568511646 9779065692 9961738152 10751714699 11534644176 11729143308 12758015528 13038754256 13282317536 13581113304 13697389959 14139241248 15638857744 17542271351 18108151072 18263186612 18570576288 19137023292 19558131384 19923476304 21503429398 23069288352 23458286616 25516031056 26077508512 27162226608 27394779918 30300286879 31277715488 32255144097 35084542702 36526373224 38274046584 39116262768 39846952608 43006858796 46916573232 51032062112 52626814053 54324453216 54789559836 60600573758 64510288194 70169085404 73052746448 76548093168 78232525536 86013717592 90900860637 93833146464 105253628106 109579119672 121201147516 129020576388 140338170808 146105492896 153096186336 172027435184 181801721274 210507256212 219158239344 242402295032 258041152776 280676341616 333303155669 344054870368 363603442548 421014512424 438316478688 484804590064 516082305552 561352683232 666606311338 727206885096 842029024848 969609180128 999909467007 1032164611104 1333212622676 1454413770192 1684058049696 1999818934014 2666425245352 2908827540384 3999637868028 5332850490704 7999275736056 10665700981408 15998551472112 31997102944224
• Sum of all divisors σ(n): 101231249817600
• Sum of proper divisors (its aliquot sum) s(n): 69234146873376
• 31997102944224 is an abundant number, because the sum of its proper divisors (69234146873376) is greater than itself. Its abundance is 37237043929152

Bases of 31997102944224

• Binary: 111010001100111100111111101000110111111100000₂
• Hexadecimal: 0x1D19E7F46FE0
• Base-36: BCB9KYA5C

Squares and roots of 31997102944224

• 31997102944224 squared (31997102944224²) is 1023814596823268169254962176
• 31997102944224 cubed (31997102944224³) is 32759101050353301455857852598211357671424
• The square root of 31997102944224 is 5656598.1777234275
• The cube root of 31997102944224 is 31747.0629293277

Scales and comparisons

• 31,997,102,944,224 seconds is equal to 1,017,408 years, 46 weeks, 5 days, 15 hours, 10 minutes, 24 seconds.
• To count from 1 to 31,997,102,944,224 would take you about two million, five hundred forty-three thousand, five hundred twenty-two 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 31997102944224 cubic inches would be around 2645.6 feet tall.

Recreational maths with 31997102944224

• 31997102944224 backwards is 42244920179913
• 31997102944224 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31997102944224's digits is 57
• More coming soon!