31829123923968

Names of 31829123923968

• Cardinal: 31829123923968 can be written as Thirty-one trillion, eight hundred twenty-nine billion, one hundred twenty-three million, nine hundred twenty-three thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 3.1829123923968 × 10¹³

Factors of 31829123923968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 102

Divisors of 31829123923968

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 64 67 69 84 92 96 98 112 128 134 138 147 161 168 184 192 196 201 224 256 268 276 294 322 336 368 384 392 402 448 469 483 512 536 552 588 644 672 736 768 784 804 896 938 966 1024 1072 1104 1127 1176 1288 1344 1407 1472 1536 1541 1568 1608 1792 1876 1932 2048 2144 2208 2254 2352 2576 2688 2814 2944 3072 3082 3136 3216 3283 3381 3584 3752 3864 4096 4288 4416 4489 4508 4623 4704 5152 5376 5628 5888 6144 6164 6272 6432 6566 6762 7168 7504 7728 8192 8576 8832 8978 9016 9246 9408 9849 10304 10752 10787 11256 11776 12288 12328 12544 12864 13132 13467 13524 14336 15008 15456 16384 17152 17664 17956 18032 18492 18816 19698 20608 21504 21574 22512 23552 24576 24656 25088 25728 26264 26934 27048 28672 30016 30912 31423 32361 32768 34304 35328 35912 36064 36984 37632 39396 41216 43008 43148 45024 47104 49152 49312 50176 51456 52528 53868 54096 57344 60032 61824 62846 64722 65536 68608 70656 71824 72128 73968 75264 75509 78792 82432 86016 86296 90048 94208 94269 98304 98624 100352 102912 103247 105056 107736 108192 114688 120064 123648 125692 129444 131072 137216 141312 143648 144256 147936 150528 151018 157584 164864 172032 172592 180096 188416 188538 196608 197248 200704 205824 206494 210112 215472 216384 219961 226527 229376 240128 247296 251384 258888 262144 274432 282624 287296 288512 295872 301056 302036 309741 315168 329728 344064 345184 360192 376832 377076 393216 394496 401408 411648 412988 420224 430944 432768 439922 453054 458752 480256 494592 502768 517776 524288 548864 565248 574592 577024 591744 602112 604072 619482 630336 659456 659883 688128 690368 720384 722729 753664 754152 786432 788992 802816 823296 825976 840448 861888 865536 879844 906108 917504 960512 989184 1005536 1035552 1048576 1097728 1130496 1149184 1154048 1183488 1204224 1208144 1238964 1260672 1318912 1319766 1376256 1380736 1440768 1445458 1507328 1508304 1572864 1577984 1605632 1646592 1651952 1680896 1723776 1731072 1759688 1812216 1835008 1921024 1978368 2011072 2071104 2097152 2168187 2195456 2260992 2298368 2308096 2366976 2408448 2416288 2477928 2521344 2637824 2639532 2752512 2761472 2881536 2890916 3014656 3016608 3145728 3155968 3211264 3293184 3303904 3361792 3447552 3462144 3519376 3624432 3670016 3842048 3956736 4022144 4142208 4336374 4390912 4521984 4596736 4616192 4733952 4816896 4832576 4955856 5042688 5059103 5275648 5279064 5505024 5522944 5763072 5781832 6029312 6033216 6291456 6311936 6422528 6586368 6607808 6723584 6895104 6924288 7038752 7248864 7340032 7684096 7913472 8044288 8284416 8672748 8781824 9043968 9193472 9232384 9467904 9633792 9665152 9911712 10085376 10118206 10551296 10558128 11010048 11045888 11526144 11563664 12058624 12066432 12623872 12845056 13172736 13215616 13447168 13790208 13848576 14077504 14497728 14680064 15177309 15368192 15826944 16088576 16568832 17345496 17563648 18087936 18386944 18464768 18935808 19267584 19330304 19823424 20170752 20236412 21102592 21116256 22020096 22091776 23052288 23127328 24117248 24132864 25247744 25690112 26345472 26431232 26894336 27580416 27697152 28155008 28995456 30354618 30736384 31653888 32177152 33137664 34690992 35127296 36175872 36773888 36929536 37871616 38535168 38660608 39646848 40341504 40472824 42205184 42232512 44040192 44183552 46104576 46254656 48234496 48265728 50495488 51380224 52690944 52862464 53788672 55160832 55394304 56310016 57990912 60709236 61472768 63307776 64354304 66275328 69381984 70254592 72351744 73547776 73859072 75743232 77070336 77321216 79293696 80683008 80945648 84410368 84465024 88367104 92209152 92509312 96531456 100990976 102760448 105381888 105724928 107577344 110321664 110788608 112620032 115981824 121418472 122945536 126615552 128708608 132550656 138763968 140509184 144703488 147095552 147718144 151486464 154140672 154642432 158587392 161366016 161891296 168820736 168930048 176734208 184418304 185018624 193062912 201981952 210763776 211449856 215154688 220643328 221577216 225240064 231963648 242836944 245891072 253231104 257417216 265101312 277527936 294191104 295436288 302972928 308281344 309284864 317174784 322732032 323782592 337641472 337860096 353468416 368836608 370037248 386125824 403963904 421527552 422899712 430309376 441286656 443154432 450480128 463927296 485673888 491782144 506462208 514834432 530202624 555055872 588382208 590872576 605945856 618569728 634349568 645464064 647565184 675720192 706936832 737673216 740074496 772251648 807927808 845799424 860618752 882573312 886308864 900960256 927854592 971347776 983564288 1012924416 1029668864 1060405248 1110111744 1176764416 1181745152 1211891712 1237139456 1268699136 1290928128 1295130368 1351440384 1413873664 1475346432 1480148992 1544503296 1615855616 1691598848 1721237504 1765146624 1772617728 1801920512 1855709184 1942695552 2059337728 2120810496 2220223488 2353528832 2363490304 2423783424 2474278912 2537398272 2581856256 2590260736 2702880768 2827747328 2950692864 2960297984 3089006592 3231711232 3383197696 3442475008 3530293248 3545235456 3603841024 3711418368 3885391104 4118675456 4241620992 4440446976 4707057664 4847566848 4948557824 5074796544 5163712512 5180521472 5405761536 5655494656 5920595968 6178013184 6766395392 6884950016 7060586496 7090470912 7207682048 7422836736 7770782208 8237350912 8483241984 8880893952 9414115328 9695133696 9897115648 10149593088 10327425024 10361042944 10811523072 11310989312 11841191936 12356026368 13532790784 14121172992 14415364096 14845673472 15541564416 16474701824 16966483968 17761787904 19794231296 20299186176 20654850048 20722085888 21623046144 22621978624 23682383872 24712052736 27065581568 28242345984 28830728192 29691346944 31083128832 32949403648 33932967936 35523575808 39588462592 40598372352 41444171776 43246092288 47364767744 49424105472 54131163136 57661456384 59382693888 62166257664 65898807296 67865935872 71047151616 79176925184 81196744704 82888343552 86492184576 94729535488 98848210944 108262326272 115322912768 118765387776 124332515328 142094303232 158353850368 162393489408 165776687104 172984369152 189459070976 197696421888 216524652544 230645825536 237530775552 248665030656 284188606464 324786978816 331553374208 345968738304 378918141952 461291651072 475061551104 497330061312 568377212928 649573957632 663106748416 691937476608 757836283904 994660122624 1136754425856 1326213496832 1383874953216 1515672567808 1989320245248 2273508851712 2652426993664 3978640490496 4547017703424 5304853987328 7957280980992 10609707974656 15914561961984 31829123923968
• Sum of all divisors σ(n): 104588736954912
• Sum of proper divisors (its aliquot sum) s(n): 72759613030944
• 31829123923968 is an abundant number, because the sum of its proper divisors (72759613030944) is greater than itself. Its abundance is 40930489106976

Bases of 31829123923968

• Binary: 111001111001011001011101000000000000000000000₂
• Hexadecimal: 0x1CF2CBA00000
• Base-36: BA63IKWLC

Squares and roots of 31829123923968

• 31829123923968 squared (31829123923968²) is 1013093129767312093844865024
• 31829123923968 cubed (31829123923968³) is 32245866773884370939219572492946198495232
• The square root of 31829123923968 is 5641730.5788178151
• The cube root of 31829123923968 is 31691.4099743291

Scales and comparisons

• 31,829,123,923,968 seconds is equal to 1,012,067 years, 35 weeks, 5 days, 12 minutes, 48 seconds.
• To count from 1 to 31,829,123,923,968 would take you about two million, five hundred thirty thousand, one hundred sixty-nine 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 31829123923968 cubic inches would be around 2641 feet tall.

Recreational maths with 31829123923968

• 31829123923968 backwards is 86932932192813
• The number of decimal digits it has is: 14
• The sum of 31829123923968's digits is 66
• More coming soon!