31138146803712
31,138,146,803,712 is an even composite number composed of six prime numbers multiplied together.
What does the number 31138146803712 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
31138146803712 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 31138146803712:
213 × 3 × 13 × 172 × 292 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 17 × 29 × 29 × 401)See below for interesting mathematical facts about the number 31138146803712 from the Numbermatics database.
Names of 31138146803712
- Cardinal: 31138146803712 can be written as Thirty-one trillion, one hundred thirty-eight billion, one hundred forty-six million, eight hundred three thousand, seven hundred twelve.
Scientific notation
- Scientific notation: 3.1138146803712 × 1013
Factors of 31138146803712
Divisors of 31138146803712
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 29 32 34 39 48 51 52 58 64 68 78 87 96 102 104 116 128 136 156 174 192 204 208 221 232 256 272 289 312 348 377 384 401 408 416 442 464 493 512 544 578 624 663 696 754 768 802 816 832 841 867 884 928 986 1024 1088 1131 1156 1203 1248 1326 1392 1479 1508 1536 1604 1632 1664 1682 1734 1768 1856 1972 2048 2176 2262 2312 2406 2496 2523 2652 2784 2958 3016 3072 3208 3264 3328 3364 3468 3536 3712 3757 3944 4096 4352 4524 4624 4812 4992 5046 5213 5304 5568 5916 6032 6144 6409 6416 6528 6656 6728 6817 6936 7072 7424 7514 7888 8192 8381 8704 9048 9248 9624 9984 10092 10426 10608 10933 11136 11271 11629 11832 12064 12288 12818 12832 13056 13312 13456 13634 13872 14144 14297 14848 15028 15639 15776 16762 17408 18096 18496 19227 19248 19968 20184 20451 20852 21216 21866 22272 22542 23258 23664 24128 24576 25143 25636 25664 26112 26624 26912 27268 27744 28288 28594 29696 30056 31278 31552 32799 33524 34816 34887 36192 36992 38454 38496 39936 40368 40902 41704 42432 42891 43732 44544 45084 46516 47328 48256 50286 51272 51328 52224 53248 53824 54536 55488 56576 57188 59392 60112 62556 63104 65598 67048 69632 69774 72384 73984 76908 76992 79872 80736 81804 83408 84864 85782 87464 88621 89088 90168 93032 94656 96512 100572 102544 102656 104448 106496 107648 108953 109072 110976 113152 114376 115889 118784 120224 125112 126208 131196 134096 139264 139548 144768 147968 151177 153816 153984 159744 161472 163608 166816 169728 171564 174928 177242 178176 180336 185861 186064 189312 193024 197693 201144 205088 205312 208896 215296 217906 218144 221952 226304 228752 231778 237568 240448 243049 250224 252416 262392 265863 268192 279096 289536 295936 302354 307632 307968 319488 322944 326859 327216 333632 337241 339456 343128 347667 349856 354484 356352 360672 371722 372128 378624 386048 395386 402288 410176 410624 417792 430592 435812 436288 443904 452608 453531 457504 463556 480896 486098 500448 504832 524784 531726 536384 557583 558192 579072 591872 593079 604708 615264 615936 645888 653718 654432 667264 674482 678912 686256 695334 699712 708968 712704 721344 729147 743444 744256 757248 772096 790772 804576 820352 821248 861184 871624 872576 887808 905216 907062 915008 927112 961792 972196 1000896 1009664 1011723 1049568 1063452 1072768 1115166 1116384 1158144 1183744 1186158 1209416 1230528 1231872 1291776 1307436 1308864 1334528 1348964 1357824 1372512 1390668 1399424 1417936 1442688 1458294 1486888 1488512 1506557 1514496 1544192 1581544 1609152 1640704 1642496 1722368 1743248 1745152 1775616 1810432 1814124 1830016 1854224 1923584 1944392 2001792 2019328 2023446 2099136 2126904 2145536 2230332 2232768 2316288 2367488 2372316 2418832 2461056 2463744 2570009 2583552 2614872 2617728 2669056 2697928 2715648 2745024 2781336 2798848 2835872 2885376 2916588 2973776 2977024 3013114 3028992 3088384 3159637 3163088 3218304 3281408 3284992 3360781 3444736 3486496 3490304 3551232 3628248 3660032 3708448 3847168 3888784 4003584 4038656 4046892 4198272 4253808 4291072 4384133 4460664 4465536 4519671 4632576 4744632 4837664 4922112 4927488 5140018 5167104 5229744 5235456 5338112 5395856 5431296 5490048 5562672 5597696 5671744 5733097 5770752 5833176 5947552 5954048 6026228 6057984 6319274 6326176 6436608 6562816 6721562 6889472 6972992 6980608 7102464 7256496 7320064 7416896 7694336 7710027 7777568 8007168 8093784 8396544 8507616 8582144 8768266 8921328 8931072 9039342 9265152 9478911 9489264 9675328 9844224 9854976 10082343 10280036 10334208 10459488 10470912 10676224 10791712 10980096 11125344 11195392 11343488 11466194 11541504 11666352 11895104 11908096 12052456 12115968 12638548 12652352 12873216 13125632 13152399 13443124 13945984 13961216 14512992 14640128 14833792 15388672 15420054 15555136 16014336 16187568 16793088 17015232 17164288 17199291 17536532 17842656 17862144 18078684 18957822 18978528 19350656 19688448 20164686 20560072 20668416 20918976 20941824 21352448 21583424 21960192 22250688 22390784 22686976 22932388 23083008 23332704 23790208 23816192 24104912 25277096 25304704 25746432 26251264 26304798 26886248 27891968 27922432 29025984 29280256 29667584 30777344 30840108 31110272 32028672 32375136 33586176 34030464 34328576 34398582 35073064 35685312 35724288 36157368 37915644 37957056 38701312 39376896 40329372 41120144 41837952 41883648 42704896 43166848 43690153 43920384 44501376 44781568 45373952 45864776 46166016 46665408 47580416 47632384 48209824 50554192 50609408 51492864 52502528 52609596 53772496 55783936 55844864 58051968 58560512 59335168 61680216 62220544 64057344 64750272 67172352 68060928 68657152 68797164 70146128 71370624 71448576 72314736 74530261 75831288 75914112 77402624 78753792 80658744 82240288 83675904 83767296 86333696 87380306 87840768 89002752 89563136 90747904 91729552 92332032 93330816 95160832 95264768 96419648 97462649 101108384 101218816 102985728 105219192 107544992 111567872 116103936 117121024 118670336 123360432 124441088 128114688 129500544 131070459 134344704 136121856 137594328 140292256 142741248 142897152 144629472 149060522 151662576 151828224 154805248 157507584 161317488 164480576 167351808 167534592 172667392 174760612 175681536 178005504 181495808 183459104 186661632 190321664 192839296 194925298 202216768 202437632 205971456 210438384 215089984 223135744 223590783 232207872 237340672 246720864 248882176 259001088 262140918 268689408 272243712 275188656 280584512 285482496 285794304 289258944 292387947 298121044 303325152 303656448 309610496 322634976 328961152 334703616 345334784 349521224 351363072 356011008 362991616 366918208 373323264 380643328 385678592 389850596 404433536 404875264 420876768 430179968 446271488 447181566 464415744 474681344 493441728 497764352 518002176 524281836 544487424 550377312 561169024 570964992 578517888 584775894 596242088 606650304 607312896 619220992 645269952 657922304 669407232 690669568 699042448 712022016 725983232 733836416 746646528 761286656 771357184 779701192 808867072 809750528 841753536 860359936 892542976 894363132 928831488 949362688 986883456 995528704 1036004352 1048563672 1088974848 1100754624 1122338048 1141929984 1157035776 1169551788 1192484176 1213300608 1214625792 1238441984 1267014437 1290539904 1315844608 1338814464 1381339136 1398084896 1424044032 1467672832 1493293056 1522573312 1542714368 1559402384 1617734144 1619501056 1683507072 1720719872 1788726264 1857662976 1973766912 1991057408 2072008704 2097127344 2177949696 2201509248 2244676096 2283859968 2314071552 2339103576 2384968352 2426601216 2429251584 2534028874 2581079808 2631689216 2677628928 2762678272 2796169792 2848088064 2935345664 2986586112 3085428736 3118804768 3235468288 3367014144 3441439744 3577452528 3715325952 3801043311 3947533824 4144017408 4194254688 4403018496 4489352192 4567719936 4628143104 4678207152 4769936704 4853202432 4858503168 5068057748 5162159616 5263378432 5592339584 5870691328 5973172224 6170857472 6237609536 6470936576 6734028288 6882879488 7154905056 7602086622 7895067648 8288034816 8388509376 8806036992 8978704384 9256286208 9356414304 9539873408 9706404864 10136115496 10324319232 10526756864 11184679168 11741382656 12341714944 12475219072 12941873152 13468056576 13765758976 14309810112 15204173244 15790135296 16777018752 17612073984 17957408768 18512572416 18712828608 19079746816 19412809728 20272230992 20648638464 21053513728 22369358336 23482765312 24950438144 25883746304 26936113152 27531517952 28619620224 30408346488 31580270592 33554037504 35224147968 35914817536 37025144832 37425657216 38159493632 38825619456 40544461984 41297276928 44738716672 46965530624 49900876288 53872226304 57239240448 60816692976 63160541184 67108075008 70448295936 74851314432 76318987264 77651238912 81088923968 82594553856 89477433344 99801752576 107744452608 114478480896 121633385952 134216150016 140896591872 149702628864 152637974528 162177847936 178954866688 199603505152 228956961792 243266771904 268432300032 299405257728 305275949056 324355695872 357909733376 399207010304 457913923584 486533543808 536864600064 598810515456 610551898112 648711391744 798414020608 915827847168 973067087616 1073729200128 1197621030912 1297422783488 1831655694336 1946134175232 2395242061824 2594845566976 3892268350464 5189691133952 7784536700928 10379382267904 15569073401856 31138146803712
- Sum of all divisors σ(n): 98619782828112
- Sum of proper divisors (its aliquot sum) s(n): 67481636024400
- 31138146803712 is an abundant number, because the sum of its proper divisors (67481636024400) is greater than itself. Its abundance is 36343489220688
Bases of 31138146803712
- Binary: 1110001010001111010100010110111100000000000002
- Hexadecimal: 0x1C51EA2DE000
- Base-36: B1CO0N6DC
Squares and roots of 31138146803712
- 31138146803712 squared (311381468037122) is 969584186369519841856978944
- 31138146803712 cubed (311381468037123) is 30191054733731764381059052615754085040128
-
The
square root of 31138146803712 is 5580156.5214348601 -
The
cube root of 31138146803712 is 31460.4010018257
Scales and comparisons
How big is 31138146803712?- 31,138,146,803,712 seconds is equal to 990,096 years, 39 weeks, 15 hours, 15 minutes, 12 seconds.
-
To count from 1 to 31,138,146,803,712 would take you about two million, four hundred seventy-five thousand, two hundred forty-one 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 31138146803712 cubic inches would be around 2621.7 feet tall.
Recreational maths with 31138146803712
- 31138146803712 backwards is 21730864183113
- 31138146803712 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31138146803712's digits is 48
- More coming soon!
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The information we have on file for 31138146803712 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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