31427834644484096
31,427,834,644,484,096 is an even composite number composed of eight prime numbers multiplied together.
31427834644484096 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 31427834644484096:
212 × 7 × 13 × 17 × 37 × 61 × 73 × 30103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 37 × 61 × 73 × 30103)See below for interesting mathematical facts about the number 31427834644484096 from the Numbermatics database.
Names of 31427834644484096
- Cardinal: 31427834644484096 can be written as Thirty-one quadrillion, four hundred twenty-seven trillion, eight hundred thirty-four billion, six hundred forty-four million, four hundred eighty-four thousand and ninety-six.
Scientific notation
- Scientific notation: 3.1427834644484096 × 1016
Factors of 31427834644484096
Divisors of 31427834644484096
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 37 52 56 61 64 68 73 74 91 104 112 119 122 128 136 146 148 182 208 221 224 238 244 256 259 272 292 296 364 416 427 442 448 476 481 488 511 512 518 544 584 592 629 728 793 832 854 884 896 949 952 962 976 1022 1024 1036 1037 1088 1168 1184 1241 1258 1456 1547 1586 1664 1708 1768 1792 1898 1904 1924 1952 2044 2048 2072 2074 2176 2257 2336 2368 2482 2516 2701 2912 3094 3172 3328 3367 3416 3536 3584 3796 3808 3848 3904 4088 4096 4144 4148 4352 4403 4453 4514 4672 4736 4964 5032 5402 5551 5824 6188 6344 6643 6656 6734 6832 7072 7168 7259 7592 7616 7696 7808 8176 8177 8288 8296 8687 8704 8806 8906 9028 9344 9472 9928 10064 10804 11102 11648 12376 12688 13286 13312 13468 13481 13664 14144 14336 14518 15184 15232 15392 15616 15799 16133 16352 16354 16576 16592 17374 17408 17612 17812 18056 18688 18907 18944 19856 20128 21608 22204 23296 24752 25376 26572 26624 26936 26962 27328 28288 28672 29036 29341 30103 30368 30464 30784 31171 31232 31598 32266 32704 32708 33152 33184 34748 34816 35113 35224 35624 36112 37376 37814 37888 38369 39712 40256 43216 44408 45917 46592 49504 50752 53144 53248 53872 53924 54656 56576 57239 57889 58072 58682 60206 60736 60928 61568 62342 62464 63196 64532 65408 65416 66304 66368 69496 69632 70226 70448 71248 72224 74752 75628 75701 75776 76738 79424 80512 86432 88816 91834 93184 94367 99008 101504 106288 107744 107848 109312 112931 113152 114478 115778 116144 117364 120412 121472 121856 123136 124684 124928 126392 129064 130816 130832 132608 132736 138992 140452 140896 142496 144448 149504 151256 151402 151552 153476 158848 161024 164761 172864 177632 183668 186368 188734 198016 203008 205387 210721 212576 215488 215696 218624 225862 226304 228956 231556 232288 234728 240824 242944 243712 245791 246272 249368 249856 252784 258128 261632 261664 265216 265472 268583 277984 280904 281792 284992 288896 299008 302512 302804 306952 317696 321419 322048 329522 345728 355264 367336 372736 377468 391339 396032 405223 406016 410774 421442 425152 430976 431392 437248 451724 452608 457912 463112 464576 469456 481648 485888 487424 491582 492544 498736 498797 505568 511751 516256 523264 523328 529907 530432 530944 537166 555968 561808 563584 569984 577792 596921 605024 605608 613904 635392 642838 644096 659044 691456 710528 734672 754936 782678 792064 810446 812032 821548 842884 850304 861952 862784 874496 903448 905216 915824 926224 929152 938912 963296 971776 983164 984113 985088 997472 997594 1011136 1023502 1032512 1046528 1046656 1059814 1060864 1061888 1074332 1111936 1113811 1123616 1127168 1139968 1153327 1155584 1193842 1210048 1211216 1227808 1270784 1285676 1288192 1318088 1382912 1421056 1469344 1509872 1565356 1584128 1620892 1624064 1643096 1685768 1700608 1723904 1725568 1748992 1806896 1831648 1836283 1852448 1858304 1877824 1926592 1943552 1966328 1968226 1970176 1994944 1995188 2022272 2047004 2065024 2093056 2093312 2119628 2123776 2141893 2148664 2197519 2223872 2227622 2247232 2254336 2279936 2306654 2311168 2387684 2420096 2422432 2455616 2541568 2571352 2576384 2636176 2739373 2765824 2800937 2842112 2938688 3019744 3130712 3168256 3241784 3248128 3286192 3371536 3401216 3447808 3451136 3491579 3582257 3613792 3663296 3672566 3704896 3716608 3755648 3853184 3887104 3932656 3936452 3989888 3990376 4044544 4094008 4130048 4178447 4186624 4239256 4247552 4283786 4297328 4395038 4447744 4455244 4494464 4508672 4559872 4613308 4622336 4775368 4840192 4844864 4911232 5083136 5142704 5272352 5478746 5531648 5601874 5684224 5877376 6039488 6261424 6336512 6483568 6572384 6652763 6743072 6802432 6888791 6895616 6902272 6983158 7164514 7227584 7326592 7345132 7409792 7433216 7511296 7706368 7796677 7865312 7872904 7979776 7980752 8089088 8188016 8260096 8356894 8373248 8478512 8567572 8594656 8790076 8895488 8910488 8988928 9017344 9119744 9226616 9244672 9550736 9680384 9689728 9822464 10285408 10544704 10957492 11063296 11203748 11368448 11754752 12078976 12522848 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207373275473 207578728448 207779094016 210214005274 217571961152 220552398976 223056968576 223762101248 226112543488 236769487136 236998029112 240215196928 240244577456 243505816064 248653669888 251567580082 252059884544 255228646736 257909619916 258724929568 261002513408 267780875264 270593699584 271449106432 274531653632 277748821448 278292361216 287505805808 291408599552 291689881984 295685633792 309621637024 317427224512 333038399488 337266426044 342224390144 353853299456 363613414528 390349695008 395696951104 409547220992 414746550946 415157456896 415558188032 420428010548 435143922304 441104797952 446113937152 447524202496 451341834853 452225086976 473538974272 473996058224 480430393856 480489154912 487011632128 497307339776 503135160164 504119769088 510457293472 515819239832 517449859136 522005026816 535561750528 541187399168 542898212864 549063307264 555497642896 575011611616 582817199104 583379763968 590216245577 591371267584 619243274048 634854449024 674532852088 684448780288 707706598912 727226829056 780699390016 791393902208 819094441984 829493101892 831116376064 840856021096 870287844608 882209595904 892227874304 895048404992 902683669706 904450173952 947077948544 947992116448 960860787712 960978309824 974023264256 994614679552 1006270320328 1008239538176 1020914586944 1031638479664 1034899718272 1044010053632 1071123501056 1082374798336 1096115884643 1110995285792 1150023223232 1165634398208 1166759527936 1180432491154 1182742535168 1238486548096 1269708898048 1349065704176 1415413197824 1454453658112 1561398780032 1582787804416 1658986203784 1662232752128 1681712042192 1740575689216 1764419191808 1784455748608 1805367339412 1808900347904 1894155897088 1895984232896 1921721575424 1921956619648 1948046528512 1989229359104 2012540640656 2041829173888 2063276959328 2069799436544 2164749596672 2192231769286 2221990571584 2300046446464 2331268796416 2333519055872 2360864982308 2365485070336 2476973096192 2539417796096 2698131408352 2830826395648 2908907316224 3122797560064 3165575608832 3317972407568 3363424084384 3481151378432 3528838383616 3568911497216 3610734678824 3617800695808 3788311794176 3791968465792 3843443150848 3843913239296 4025081281312 4083658347776 4126553918656 4139598873088 4329499193344 4384463538572 4443981143168 4600092892928 4667038111744 4721729964616 4730970140672 4953946192384 5078835592192 5396262816704 5661652791296 5817814632448 6245595120128 6331151217664 6635944815136 6726848168768 6962302756864 7057676767232 7137822994432 7221469357648 7576623588352 7583936931584 7672811192501 7687826478592 8050162562624 8167316695552 8253107837312 8279197746176 8768927077144 8887962286336 9200185785856 9334076223488 9443459929232 9907892384768 10157671184384 10792525633408 11635629264896 12491190240256 12662302435328 13271889630272 13453696337536 13924605513728 14442938715296 15153247176704 15167873863168 15345622385002 15375652957184 16100325125248 16334633391104 16506215674624 16558395492352 17537854154288 17775924572672 18400371571712 18886919858464 19815784769536 20315342368768 21585051266816 24982380480512 25324604870656 26543779260544 26907392675072 28885877430592 30306494353408 30335747726336 30691244770004 30751305914368 32200650250496 32669266782208 33012431349248 33116790984704 35075708308576 35551849145344 36800743143424 37773839716928 39631569539072 43170102533632 49964760961024 53087558521088 53814785350144 57771754861184 60671495452672 61382489540008 61502611828736 64401300500992 65338533564416 66024862698496 70151416617152 71103698290688 73601486286848 75547679433856 86340205067264 106175117042176 107629570700288 115543509722368 121342990905344 122764979080016 128802601001984 132049725396992 140302833234304 142207396581376 151095358867712 172680410134528 212350234084352 215259141400576 231087019444736 245529958160032 257605202003968 264099450793984 280605666468608 302190717735424 345360820269056 424700468168704 430518282801152 462174038889472 491059916320064 515210404007936 561211332937216 604381435470848 849400936337408 924348077778944 982119832640128 1122422665874432 1208762870941696 1848696155557888 1964239665280256 2244845331748864 2417525741883392 3928479330560512 4489690663497728 7856958661121024 15713917322242048 31427834644484096
- Sum of all divisors σ(n): 86667978090387456
- Sum of proper divisors (its aliquot sum) s(n): 55240143445903360
- 31427834644484096 is an abundant number, because the sum of its proper divisors (55240143445903360) is greater than itself. Its abundance is 23812308801419264
Bases of 31427834644484096
- Binary: 11011111010011101110010111110000000101101010000000000002
- Hexadecimal: 0x6FA772F80B5000
- Base-36: 8LG8JX4OJCW
Squares and roots of 31427834644484096
- 31427834644484096 squared (314278346444840962) is 987708790441034784815877996937216
- 31427834644484096 cubed (314278346444840963) is 31041548542884234924062878848610990172516422516736
-
The
square root of 31427834644484096 is 177278974.0620248965 -
The
cube root of 31427834644484096 is 315576.6196339049
Scales and comparisons
How big is 31427834644484096?- 31,427,834,644,484,096 seconds is equal to 999,307,929 years, 1 week, 14 minutes, 56 seconds.
-
To count from 1 to 31,427,834,644,484,096 would take you about two billion, nine hundred ninety-seven million, nine hundred twenty-three thousand, seven hundred eighty-seven 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 31427834644484096 cubic inches would be around 26298.1 feet tall.
Recreational maths with 31427834644484096
- 31427834644484096 backwards is 69048444643872413
- The number of decimal digits it has is: 17
- The sum of 31427834644484096's digits is 77
- More coming soon!
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"Number 31427834644484096 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 31427834644484096 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/31427834644484096/
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The information we have on file for 31427834644484096 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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