131374943632097280
131,374,943,632,097,280 is an even composite number composed of five prime numbers multiplied together.
131374943632097280 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 131374943632097280:
218 × 34 × 5 × 292 × 12132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 29 × 29 × 1213 × 1213)See below for interesting mathematical facts about the number 131374943632097280 from the Numbermatics database.
Names of 131374943632097280
- Cardinal: 131374943632097280 can be written as One hundred thirty-one quadrillion, three hundred seventy-four trillion, nine hundred forty-three billion, six hundred thirty-two million, ninety-seven thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3137494363209728 × 1017
Factors of 131374943632097280
Divisors of 131374943632097280
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 32 36 40 45 48 54 58 60 64 72 80 81 87 90 96 108 116 120 128 135 144 145 160 162 174 180 192 216 232 240 256 261 270 288 290 320 324 348 360 384 405 432 435 464 480 512 522 540 576 580 640 648 696 720 768 783 810 841 864 870 928 960 1024 1044 1080 1152 1160 1213 1280 1296 1305 1392 1440 1536 1566 1620 1682 1728 1740 1856 1920 2048 2088 2160 2304 2320 2349 2426 2523 2560 2592 2610 2784 2880 3072 3132 3240 3364 3456 3480 3639 3712 3840 3915 4096 4176 4205 4320 4608 4640 4698 4852 5046 5120 5184 5220 5568 5760 6065 6144 6264 6480 6728 6912 6960 7278 7424 7569 7680 7830 8192 8352 8410 8640 9216 9280 9396 9704 10092 10240 10368 10440 10917 11136 11520 11745 12130 12288 12528 12615 12960 13456 13824 13920 14556 14848 15138 15360 15660 16384 16704 16820 17280 18195 18432 18560 18792 19408 20184 20480 20736 20880 21834 22272 22707 23040 23490 24260 24576 25056 25230 25920 26912 27648 27840 29112 29696 30276 30720 31320 32751 32768 33408 33640 34560 35177 36390 36864 37120 37584 37845 38816 40368 40960 41472 41760 43668 44544 45414 46080 46980 48520 49152 50112 50460 51840 53824 54585 55296 55680 58224 59392 60552 61440 62640 65502 65536 66816 67280 68121 69120 70354 72780 73728 74240 75168 75690 77632 80736 81920 82944 83520 87336 89088 90828 92160 93960 97040 98253 98304 100224 100920 103680 105531 107648 109170 110592 111360 113535 116448 118784 121104 122880 125280 131004 131072 133632 134560 136242 138240 140708 145560 147456 148480 150336 151380 155264 161472 163755 163840 165888 167040 174672 175885 178176 181656 184320 187920 194080 196506 196608 200448 201840 207360 211062 215296 218340 221184 222720 227070 232896 237568 242208 245760 250560 262008 262144 267264 269120 272484 276480 281416 291120 294912 296960 300672 302760 310528 316593 322944 327510 327680 331776 334080 340605 349344 351770 356352 363312 368640 375840 388160 393012 393216 400896 403680 414720 422124 430592 436680 442368 445440 454140 465792 475136 484416 491265 491520 501120 524016 527655 534528 538240 544968 552960 562832 582240 589824 593920 601344 605520 621056 633186 645888 655020 655360 663552 668160 681210 698688 703540 712704 726624 737280 751680 776320 786024 786432 801792 807360 829440 844248 861184 873360 884736 890880 908280 931584 949779 950272 968832 982530 983040 1002240 1020133 1048032 1055310 1069056 1076480 1089936 1105920 1125664 1164480 1179648 1187840 1202688 1211040 1242112 1266372 1291776 1310040 1310720 1327104 1336320 1362420 1397376 1407080 1425408 1453248 1471369 1474560 1503360 1552640 1572048 1582965 1603584 1614720 1658880 1688496 1722368 1746720 1769472 1781760 1816560 1863168 1899558 1900544 1937664 1965060 1966080 2004480 2040266 2096064 2110620 2138112 2152960 2179872 2211840 2251328 2328960 2359296 2375680 2405376 2422080 2484224 2532744 2583552 2620080 2654208 2672640 2724840 2794752 2814160 2849337 2850816 2906496 2942738 2949120 3006720 3060399 3105280 3144096 3165930 3207168 3229440 3317760 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305103075840 311223582720 316779860224 325443280896 327703303680 334103758830 334277181440 338455646208 349550190592 356377342752 361603645440 368666216640 373468299264 376061829120 385710555136 393243964416 395974825280 400924510596 401132617728 406804101120 414964776960 423069557760 433924374528 436937738240 442399459968 445471678440 451274194944 466835374080 475169790336 482138193920 488164921344 491554955520 501155638245 501415772160 524325285888 534566014128 542405468160 552999324960 564092743680 578565832704 589865946624 593962237920 601698926592 610206151680 622447165440 633559720448 650886561792 655406607360 668207517660 668554362880 676911292416 699100381184 712754685504 723207290880 737332433280 746936598528 752123658240 786487928832 791949650560 801849021192 802265235456 813608202240 846139115520 867848749056 873875476480 884798919936 890943356880 902548389888 933670748160 950339580672 964276387840 976329842688 983109911040 1002311276490 1002831544320 1048650571776 1069132028256 1084810936320 1105998649920 1128185487360 1157131665408 1179731893248 1187924475840 1203397853184 1220412303360 1244894330880 1267119440896 1301773123584 1310813214720 1336415035320 1337108725760 1353822584832 1398200762368 1425509371008 1446414581760 1474664866560 1504247316480 1572975857664 1583899301120 1603698042384 1627216404480 1692278231040 1735697498112 1747750952960 1769597839872 1781886713760 1805096779776 1867341496320 1900679161344 1928552775680 1952659685376 1966219822080 2004622552980 2005663088640 2097301143552 2138264056512 2169621872640 2211997299840 2256370974720 2359463786496 2375848951680 2406795706368 2440824606720 2534238881792 2603546247168 2621626429440 2672830070640 2707645169664 2796401524736 2851018742016 2892829163520 2949329733120 3008494632960 3145951715328 3167798602240 3207396084768 3254432808960 3384556462080 3471394996224 3495501905920 3539195679744 3563773427520 3610193559552 3734682992640 3801358322688 3905319370752 3932439644160 4009245105960 4011326177280 4194602287104 4276528113024 4339243745280 4423994599680 4512741949440 4718927572992 4751697903360 4881649213440 5068477763584 5207092494336 5243252858880 5345660141280 5415290339328 5592803049472 5702037484032 5785658327040 5898659466240 6016989265920 6291903430656 6335597204480 6414792169536 6508865617920 6769112924160 6991003811840 7078391359488 7127546855040 7220387119104 7602716645376 7810638741504 7864879288320 8018490211920 8389204574208 8553056226048 8678487490560 8847989199360 9025483898880 9437855145984 9503395806720 9763298426880 10136955527168 10414184988672 10486505717760 10691320282560 10830580678656 11185606098944 11404074968064 11797318932480 12033978531840 12583806861312 12671194408960 12829584339072 13017731235840 13538225848320 13982007623680 14156782718976 14255093710080 15205433290752 15621277483008 15729758576640 16036980423840 16778409148416 17106112452096 17356974981120 17695978398720 18050967797760 18875710291968 19006791613440 19526596853760 20273911054336 20973011435520 21382640565120 21661161357312 22808149936128 23594637864960 25167613722624 25342388817920 25659168678144 26035462471680 27076451696640 27964015247360 28313565437952 28510187420160 30410866581504 31242554966016 31459517153280 32073960847680 33556818296832 34212224904192 35391956797440 36101935595520 37751420583936 38013583226880 39053193707520 40547822108672 41946022871040 42765281130240 45616299872256 47189275729920 50335227445248 50684777635840 51318337356288 52070924943360 54152903393280 55928030494720 56627130875904 57020374840320 60821733163008 62919034306560 64147921695360 68424449808384 70783913594880 75502841167872 76027166453760 78106387415040 81095644217344 83892045742080 85530562260480 91232599744512 94378551459840 100670454890496 101369555271680 102636674712576 108305806786560 113254261751808 114040749680640 121643466326016 125838068613120 128295843390720 136848899616768 141567827189760 151005682335744 152054332907520 156212774830080 162191288434688 167784091484160 171061124520960 182465199489024 188757102919680 202739110543360 205273349425152 226508523503616 228081499361280 243286932652032 251676137226240 256591686781440 273697799233536 283135654379520 302011364671488 304108665815040 324382576869376 342122249041920 364930398978048 377514205839360 405478221086720 410546698850304 453017047007232 456162998722560 486573865304064 503352274452480 513183373562880 547395598467072 566271308759040 608217331630080 684244498083840 729860797956096 755028411678720 810956442173440 821093397700608 906034094014464 912325997445120 973147730608128 1026366747125760 1094791196934144 1132542617518080 1216434663260160 1368488996167680 1459721595912192 1510056823357440 1621912884346880 1642186795401216 1824651994890240 2052733494251520 2189582393868288 2265085235036160 2432869326520320 2736977992335360 2919443191824384 3284373590802432 3649303989780480 4105466988503040 4379164787736576 4530170470072320 4865738653040640 5473955984670720 6568747181604864 7298607979560960 8210933977006080 8758329575473152 10947911969341440 13137494363209728 14597215959121920 16421867954012160 21895823938682880 26274988726419456 32843735908024320 43791647877365760 65687471816048640 131374943632097280
- Sum of all divisors σ(n): 488206601357541066
- Sum of proper divisors (its aliquot sum) s(n): 356831657725443786
- 131374943632097280 is an abundant number, because the sum of its proper divisors (356831657725443786) is greater than itself. Its abundance is 225456714093346506
Bases of 131374943632097280
- Binary: 1110100101011110011010000101011111001010000000000000000002
- Hexadecimal: 0x1D2BCD0AF940000
- Base-36: ZXKJ3XA0W00
Squares and roots of 131374943632097280
- 131374943632097280 squared (1313749436320972802) is 17259375814336737660457051383398400
- 131374943632097280 cubed (1313749436320972803) is 2267449524733671999688535358690501682557565796352000
-
The
square root of 131374943632097280 is 362456816.2307025507 -
The
cube root of 131374943632097280 is 508359.3872670429
Scales and comparisons
How big is 131374943632097280?- 131,374,943,632,097,280 seconds is equal to 4,177,316,838 years, 6 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 131,374,943,632,097,280 would take you about twelve billion, five hundred thirty-one million, nine hundred fifty thousand, five hundred fourteen 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 131374943632097280 cubic inches would be around 42363.3 feet tall.
Recreational maths with 131374943632097280
- 131374943632097280 backwards is 082790236349473131
- 131374943632097280 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131374943632097280's digits is 72
- More coming soon!
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"Number 131374943632097280 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 131374943632097280 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/131374943632097280/
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Numbermatics. 2024. "Number 131374943632097280 - Facts about the integer". https://numbermatics.com/n/131374943632097280/
The information we have on file for 131374943632097280 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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