31997898216960

Names of 31997898216960

• Cardinal: 31997898216960 can be written as Thirty-one trillion, nine hundred ninety-seven billion, eight hundred ninety-eight million, two hundred sixteen thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 3.199789821696 × 10¹³

Factors of 31997898216960

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 8621

Divisors of 31997898216960

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 169 170 192 195 204 208 221 240 255 256 260 272 312 320 338 340 384 390 408 416 442 480 507 510 512 520 544 624 640 663 676 680 768 780 816 832 845 884 960 1014 1020 1040 1088 1105 1248 1280 1326 1352 1360 1536 1560 1632 1664 1690 1768 1920 2028 2040 2080 2176 2197 2210 2496 2535 2560 2652 2704 2720 2873 3120 3264 3315 3328 3380 3536 3840 4056 4080 4160 4352 4394 4420 4992 5070 5304 5408 5440 5746 6240 6528 6591 6630 6656 6760 7072 7680 8112 8160 8320 8581 8619 8704 8788 8840 9984 10140 10608 10816 10880 10985 11492 12480 13056 13182 13260 13520 14144 14365 16224 16320 16640 17162 17238 17576 17680 19968 20280 21216 21632 21760 21970 22984 24960 25743 26112 26364 26520 27040 28288 28561 28730 32448 32640 32955 33280 34324 34476 35152 35360 37349 40560 42432 42905 43095 43264 43520 43940 45968 49920 51486 52728 53040 54080 56576 57122 57460 64896 65280 65910 68648 68952 70304 70720 74698 81120 84864 85683 85810 86190 86528 87880 91936 99840 102972 105456 106080 108160 111553 112047 113152 114244 114920 128715 129792 130560 131820 137296 137904 140608 141440 142805 145877 149396 162240 169728 171366 171620 172380 175760 183872 186745 205944 210912 212160 216320 223106 224094 228488 229840 257430 259584 263640 274592 275808 281216 282880 285610 291754 298792 324480 334659 339456 342732 343240 344760 351520 367744 373490 411888 421824 424320 428415 432640 437631 446212 448188 456976 459680 485537 514860 527280 549184 551616 557765 560235 562432 565760 571220 583508 597584 648960 669318 685464 686480 689520 703040 729385 735488 746980 823776 843648 848640 856830 875262 892424 896376 913952 919360 971074 1029720 1054560 1098368 1103232 1115530 1120470 1124864 1142440 1167016 1195168 1297920 1338636 1370928 1372960 1379040 1406080 1450189 1456611 1458770 1470976 1493960 1647552 1673295 1687296 1697280 1713660 1750524 1784848 1792752 1827904 1838720 1896401 1942148 2059440 2109120 2188155 2196736 2206464 2231060 2240940 2284880 2334032 2390336 2427685 2677272 2741856 2745920 2758080 2812160 2900378 2913222 2917540 2987920 3295104 3346590 3374592 3427320 3501048 3569696 3585504 3655808 3677440 3792802 3884296 4118880 4218240 4350567 4376310 4393472 4412928 4462120 4481880 4569760 4668064 4780672 4855370 5354544 5483712 5491840 5516160 5624320 5689203 5800756 5826444 5835080 5975840 6590208 6693180 6854640 7002096 7139392 7171008 7250945 7283055 7311616 7354880 7585604 7768592 8237760 8436480 8701134 8752620 8924240 8963760 9139520 9336128 9482005 9561344 9710740 10709088 10967424 10983680 11032320 11378406 11601512 11652888 11670160 11951680 13180416 13386360 13709280 14004192 14278784 14342016 14501890 14566110 14623232 15171208 15537184 16475520 16872960 17402268 17505240 17848480 17927520 18279040 18672256 18852457 18964010 19122688 19421480 21418176 21752835 21934848 21967360 22064640 22756812 23203024 23305776 23340320 23903360 24653213 26772720 27418560 28008384 28446015 28557568 28684032 29003780 29132220 30342416 31074368 32951040 34804536 35010480 35696960 35855040 36558080 37344512 37704914 37928020 38842960 42836352 43505670 43869696 45513624 46406048 46611552 46680640 47806720 49306426 53545440 54837120 56016768 56557371 56892030 57115136 57368064 58007560 58264440 60684832 62148736 65902080 69609072 70020960 71393920 71710080 73116160 73959639 74689024 75409828 75856040 77685920 85672704 87011340 91027248 92812096 93223104 93361280 94262285 95613440 98612852 107090880 109674240 112033536 113114742 113784060 116015120 116528880 121369664 123266065 124297472 139218144 140041920 142787840 143420160 147919278 150819656 151712080 155371840 171345408 174022680 182054496 185624192 186446208 186722560 188524570 197225704 214181760 219348480 224067072 226229484 227568120 232030240 233057760 242739328 245081941 246532130 248594944 278436288 280083840 282786855 285575680 286840320 295838556 301639312 303424160 310743680 320491769 348045360 364108992 369798195 371248384 372892416 373445120 377049140 394451408 428363520 452458968 455136240 464060480 466115520 485478656 490163882 493064260 556872576 560167680 565573710 591677112 603278624 606848320 621487360 640983538 696090720 728217984 735245823 739596390 742496768 745784832 754098280 788902816 856727040 904917936 910272480 928120960 932231040 961475307 970957312 980327764 986128520 1113745152 1120335360 1131147420 1183354224 1206557248 1213696640 1225409705 1242974720 1281967076 1392181440 1456435968 1470491646 1479192780 1508196560 1577805632 1602458845 1809835872 1820544960 1856241920 1864462080 1922950614 1960655528 1972257040 2227490304 2262294840 2366708448 2413114496 2427393280 2450819410 2563934152 2784362880 2912871936 2940983292 2958385560 3016393120 3155611264 3204917690 3619671744 3641089920 3676229115 3712483840 3728924160 3845901228 3921311056 3944514080 4166392997 4524589680 4733416896 4807376535 4826228992 4854786560 4901638820 5127868304 5568725760 5881966584 5916771120 6032786240 6311222528 6409835380 7239343488 7282179840 7352458230 7691802456 7842622112 7889028160 8332785994 9049179360 9466833792 9614753070 9652457984 9803277640 10255736608 11137451520 11763933168 11833542240 12065572480 12499178991 12622445056 12819670760 14478686976 14564359680 14704916460 15383604912 15685244224 15778056320 16665571988 18098358720 18933667584 19229506140 19606555280 20511473216 20831964985 23527866336 23667084480 24131144960 24998357982 25639341520 28957373952 29409832920 30767209824 31370488448 31556112640 33331143976 36196717440 37867335168 38459012280 39213110560 41022946432 41663929970 47055732672 47334168960 48262289920 49996715964 51278683040 58819665840 61534419648 62495894955 62740976896 63112225280 66662287952 72393434880 76918024560 78426221120 82045892864 83327859940 94111465344 94668337920 99993431928 102557366080 117639331680 123068839296 124991789910 125481953792 133324575904 144786869760 153836049120 156852442240 164091785728 166655719880 188222930688 189336675840 199986863856 205114732160 235278663360 246137678592 249983579820 266649151808 307672098240 313704884480 333311439760 376445861376 399973727712 410229464320 470557326720 492275357184 499967159640 533298303616 615344196480 627409768960 666622879520 799947455424 820458928640 941114653440 999934319280 1066596607232 1230688392960 1333245759040 1599894910848 1882229306880 1999868638560 2133193214464 2461376785920 2666491518080 3199789821696 3999737277120 5332983036160 6399579643392 7999474554240 10665966072320 15998949108480 31997898216960
• Sum of all divisors σ(n): 117349768321632
• Sum of proper divisors (its aliquot sum) s(n): 85351870104672
• 31997898216960 is an abundant number, because the sum of its proper divisors (85351870104672) is greater than itself. Its abundance is 53353971887712

Bases of 31997898216960

• Binary: 111010001101000010111010110110101011000000000₂
• Hexadecimal: 0x1D1A175B5600
• Base-36: BCBMQFQIO

Squares and roots of 31997898216960

• 31997898216960 squared (31997898216960²) is 1023865490302931947231641600
• 31997898216960 cubed (31997898216960³) is 32761543746571062324583565560733761536000
• The square root of 31997898216960 is 5656668.4733118309
• The cube root of 31997898216960 is 31747.3259465189

Scales and comparisons

• 31,997,898,216,960 seconds is equal to 1,017,434 years, 9 weeks, 5 days, 4 hours, 16 minutes.
• To count from 1 to 31,997,898,216,960 would take you about two million, five hundred forty-three thousand, five hundred eighty-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 31997898216960 cubic inches would be around 2645.6 feet tall.

Recreational maths with 31997898216960

• 31997898216960 backwards is 06961289879913
• 31997898216960 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 31997898216960's digits is 78
• More coming soon!