131007868634680934400
131,007,868,634,680,934,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 131007868634680934400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2025 divisors.
131007868634680934400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and twenty-five divisors.
Prime factorization of 131007868634680934400:
214 × 32 × 52 × 74 × 1216612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 121661 × 121661)See below for interesting mathematical facts about the number 131007868634680934400 from the Numbermatics database.
Names of 131007868634680934400
- Cardinal: 131007868634680934400 can be written as One hundred thirty-one quintillion, seven quadrillion, eight hundred sixty-eight trillion, six hundred thirty-four billion, six hundred eighty million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.310078686346809344 × 1020
Factors of 131007868634680934400
Divisors of 131007868634680934400
- Number of divisors d(n): 2025
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 343 350 360 384 392 400 420 441 448 450 480 490 504 512 525 560 576 588 600 630 640 672 686 700 720 735 768 784 800 840 882 896 900 960 980 1008 1024 1029 1050 1120 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1536 1568 1575 1600 1680 1715 1764 1792 1800 1920 1960 2016 2048 2058 2100 2205 2240 2304 2352 2400 2401 2450 2520 2560 2688 2744 2800 2880 2940 3072 3087 3136 3150 3200 3360 3430 3528 3584 3600 3675 3840 3920 4032 4096 4116 4200 4410 4480 4608 4704 4800 4802 4900 5040 5120 5145 5376 5488 5600 5760 5880 6144 6174 6272 6300 6400 6720 6860 7056 7168 7200 7203 7350 7680 7840 8064 8192 8232 8400 8575 8820 8960 9216 9408 9600 9604 9800 10080 10240 10290 10752 10976 11025 11200 11520 11760 12005 12288 12348 12544 12600 12800 13440 13720 14112 14336 14400 14406 14700 15360 15435 15680 16128 16384 16464 16800 17150 17640 17920 18432 18816 19200 19208 19600 20160 20480 20580 21504 21609 21952 22050 22400 23040 23520 24010 24576 24696 25088 25200 25600 25725 26880 27440 28224 28672 28800 28812 29400 30720 30870 31360 32256 32928 33600 34300 35280 35840 36015 36864 37632 38400 38416 39200 40320 40960 41160 43008 43218 43904 44100 44800 46080 47040 48020 49152 49392 50176 50400 51200 51450 53760 54880 56448 57344 57600 57624 58800 60025 61440 61740 62720 64512 65856 67200 68600 70560 71680 72030 73728 75264 76800 76832 77175 78400 80640 81920 82320 86016 86436 87808 88200 89600 92160 94080 96040 98784 100352 100800 102400 102900 107520 108045 109760 112896 114688 115200 115248 117600 120050 121661 122880 123480 125440 129024 131712 134400 137200 141120 143360 144060 147456 150528 153600 153664 154350 156800 161280 164640 172032 172872 175616 176400 179200 180075 184320 188160 192080 197568 200704 201600 204800 205800 215040 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74267499226009600 76389427775324160 77980874187310080 81879917896675584 83179599133130752 83550936629260800 85291581142370400 89120999071211520 90977686551861760 93577049024772096 95486784719155200 97476092734137600 102349897370844480 103974498916413440 106945198885453824 109173223862234112 111401248839014400 113722108189827200 116971311280965120 124769398699696128 127315712958873600 127937371713555600 129968123645516800 133681498606817280 136466529827792640 145564298482978816 146214139101206400 148534998452019200 155961748374620160 163759835793351168 167101873258521600 170583162284740800 178241998142423040 181955373103723520 187154098049544192 190973569438310400 194952185468275200 204699794741688960 207948997832826880 218346447724468224 222802497678028800 227444216379654400 233942622561930240 249538797399392256 255874743427111200 259936247291033600 267362997213634560 272933059655585280 291128596965957632 292428278202412800 297069996904038400 311923496749240320 327519671586702336 334203746517043200 341166324569481600 363910746207447040 374308196099088384 381947138876620800 389904370936550400 409399589483377920 415897995665653760 436692895448936448 445604995356057600 454888432759308800 467885245123860480 511749486854222400 519872494582067200 534725994427269120 545866119311170560 582257193931915264 584856556404825600 623846993498480640 655039343173404672 668407493034086400 682332649138963200 727821492414894080 748616392198176768 779808741873100800 818799178966755840 873385790897872896 891209990712115200 909776865518617600 935770490247720960 1023498973708444800 1039744989164134400 1091732238622341120 1169713112809651200 1247693986996961280 1310078686346809344 1336814986068172800 1364665298277926400 1455642984829788160 1559617483746201600 1637598357933511680 1746771581795745792 1819553731037235200 1871540980495441920 2046997947416889600 2079489978328268800 2183464477244682240 2339426225619302400 2620157372693618688 2673629972136345600 2729330596555852800 2911285969659576320 3119234967492403200 3275196715867023360 3639107462074470400 3743081960990883840 4093995894833779200 4366928954489364480 4678852451238604800 5240314745387237376 5458661193111705600 6238469934984806400 6550393431734046720 7278214924148940800 8187991789667558400 8733857908978728960 9357704902477209600 10917322386223411200 13100786863468093440 14556429848297881600 16375983579335116800 18715409804954419200 21834644772446822400 26201573726936186880 32751967158670233600 43669289544893644800 65503934317340467200 131007868634680934400
- Sum of all divisors σ(n): 547471063480114966283
- Sum of proper divisors (its aliquot sum) s(n): 416463194845434031883
- 131007868634680934400 is an abundant number, because the sum of its proper divisors (416463194845434031883) is greater than itself. Its abundance is 285455326210753097483
Bases of 131007868634680934400
- Binary: 11100011010000110010111001001101001111011110011001001000000000000002
- Hexadecimal: 0x71A197269EF324000
- Base-36: RNC3XKUKUKN40
Squares and roots of 131007868634680934400
- 131007868634680934400 squared (1310078686346809344002) is 17163061644201816554803606890857103360000
- 131007868634680934400 cubed (1310078686346809344003) is 2248496125252522550078734970661439833828701657402179584000000
-
131007868634680934400 is a
perfect square number . Itssquare root is 11445866880 -
The
cube root of 131007868634680934400 is 5078854.7627446553
Scales and comparisons
How big is 131007868634680934400?- 131,007,868,634,680,934,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,007,868,634,680,934,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 131007868634680934400 cubic inches would be around 423237.9 feet tall.
Recreational maths with 131007868634680934400
- 131007868634680934400 backwards is 004439086436868700131
- The number of decimal digits it has is: 21
- The sum of 131007868634680934400's digits is 81
- More coming soon!
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Cite this page
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"Number 131007868634680934400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 131007868634680934400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/131007868634680934400/
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Numbermatics. 2024. "Number 131007868634680934400 - Facts about the integer". https://numbermatics.com/n/131007868634680934400/
The information we have on file for 131007868634680934400 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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