10131137536000
10,131,137,536,000 is an even composite number composed of six prime numbers multiplied together.
10131137536000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 10131137536000:
213 × 53 × 13 × 37 × 67 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 37 × 67 × 307)See below for interesting mathematical facts about the number 10131137536000 from the Numbermatics database.
Names of 10131137536000
- Cardinal: 10131137536000 can be written as Ten trillion, one hundred thirty-one billion, one hundred thirty-seven million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.0131137536 × 1013
Factors of 10131137536000
Divisors of 10131137536000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 67 74 80 100 104 125 128 130 134 148 160 185 200 208 250 256 260 268 296 307 320 325 335 370 400 416 481 500 512 520 536 592 614 640 650 670 740 800 832 871 925 962 1000 1024 1040 1072 1184 1228 1280 1300 1340 1480 1535 1600 1625 1664 1675 1742 1850 1924 2000 2048 2080 2144 2368 2405 2456 2479 2560 2600 2680 2960 3070 3200 3250 3328 3350 3484 3700 3848 3991 4000 4096 4160 4288 4355 4625 4736 4810 4912 4958 5120 5200 5360 5920 6140 6400 6500 6656 6700 6968 7400 7675 7696 7982 8000 8192 8320 8375 8576 8710 9250 9472 9620 9824 9916 10240 10400 10720 11359 11840 12025 12280 12395 12800 13000 13312 13400 13936 14800 15350 15392 15964 16000 16640 16750 17152 17420 18500 18944 19240 19648 19832 19955 20480 20569 20800 21440 21775 22718 23680 24050 24560 24790 25600 26000 26624 26800 27872 29600 30700 30784 31928 32000 32227 33280 33500 34304 34840 37000 37888 38375 38480 39296 39664 39910 40960 41138 41600 42880 43550 45436 47360 48100 49120 49580 51200 52000 53248 53600 55744 56795 59200 60125 61400 61568 61975 63856 64000 64454 66560 67000 68608 69680 74000 75776 76750 76960 78592 79328 79820 82276 83200 85760 87100 90872 94720 96200 98240 99160 99775 102400 102845 104000 106496 107200 108875 111488 113590 118400 120250 122800 123136 123950 127712 128000 128908 133120 134000 137216 139360 147667 148000 151552 153500 153920 157184 158656 159640 161135 164552 166400 171520 174200 181744 189440 192400 196480 198320 199550 204800 205690 208000 214400 217750 222976 227180 236800 240500 245600 246272 247900 255424 256000 257816 266240 267397 268000 274432 278720 283975 295334 296000 303104 307000 307840 309875 314368 317312 319280 322270 329104 332800 343040 348400 363488 378880 384800 392960 396640 399100 411380 416000 428800 435500 445952 454360 473600 481000 491200 492544 495800 498875 510848 512000 514225 515632 532480 534794 536000 548864 557440 567950 590668 592000 614000 615680 619750 628736 634624 638560 644540 658208 665600 686080 696800 726976 738335 757760 761053 769600 785920 793280 798200 805675 822760 832000 857600 871000 891904 908720 947200 962000 982400 985088 991600 997750 1021696 1024000 1028450 1031264 1069588 1072000 1114880 1135900 1181336 1184000 1228000 1231360 1239500 1257472 1269248 1277120 1289080 1316416 1331200 1336985 1372160 1393600 1419875 1453952 1476670 1515520 1522106 1539200 1571840 1586560 1596400 1611350 1645520 1664000 1715200 1742000 1783808 1817440 1894400 1924000 1964800 1970176 1983200 1995500 2043392 2056900 2062528 2139176 2144000 2229760 2271800 2362672 2368000 2456000 2462720 2479000 2514944 2538496 2554240 2571125 2578160 2632832 2662400 2673970 2744320 2787200 2839750 2907904 2953340 3044212 3078400 3143680 3173120 3192800 3222700 3291040 3328000 3430400 3484000 3567616 3634880 3691675 3788800 3805265 3848000 3929600 3940352 3966400 3991000 4028375 4086784 4113800 4125056 4278352 4288000 4459520 4543600 4725344 4736000 4912000 4925440 4958000 5076992 5108480 5142250 5156320 5265664 5347940 5574400 5679500 5815808 5906680 6088424 6156800 6287360 6346240 6385600 6445400 6582080 6656000 6684925 6860800 6968000 7135232 7269760 7383350 7577600 7610530 7696000 7859200 7932800 7982000 8056750 8173568 8227600 8250112 8556704 8576000 8919040 9087200 9450688 9472000 9824000 9850880 9893689 9916000 10153984 10216960 10284500 10312640 10531328 10695880 11148800 11359000 11631616 11813360 12176848 12313600 12574720 12692480 12771200 12890800 13164160 13312000 13369850 13721600 13936000 14539520 14766700 15221060 15392000 15718400 15865600 15964000 16113500 16347136 16455200 16500224 17113408 17152000 17838080 18174400 18458375 18901376 18944000 19026325 19648000 19701760 19787378 19832000 20307968 20433920 20569000 20625280 21062656 21391760 22297600 22718000 23263232 23626720 24353696 24627200 25384960 25542400 25781600 26328320 26739700 27872000 29079040 29533400 30442120 30784000 31436800 31731200 31928000 32227000 32694272 32910400 33000448 33424625 34226816 34304000 35676160 36348800 36916750 37802752 37888000 38052650 39296000 39574756 39664000 40867840 41138000 41250560 42125312 42783520 44595200 45436000 46526464 47253440 48707392 49254400 49468445 50769920 51084800 51563200 52656640 53479400 55744000 58158080 59066800 60884240 61568000 62873600 63462400 63856000 64454000 65820800 66000896 66849250 68453632 68608000 72697600 73833500 75605504 76105300 78592000 79149512 79328000 81735680 82276000 82501120 84250624 85567040 89190400 90872000 93052928 94506880 95131625 97414784 98508800 98936890 101539840 102169600 103126400 105313280 106958800 111488000 116316160 118133600 121768480 123136000 126924800 127712000 128908000 131641600 132001792 133698500 136907264 145395200 147667000 151211008 152210600 157184000 158299024 158656000 163471360 164552000 165002240 168501248 171134080 178380800 181744000 189013760 190263250 194829568 197873780 204339200 206252800 210626560 213917600 222976000 232632320 236267200 243536960 246272000 247342225 253849600 255424000 257816000 263283200 264003584 267397000 273814528 290790400 295334000 302422016 304421200 314368000 316598048 317312000 329104000 330004480 342268160 363488000 378027520 380526500 389659136 395747560 408678400 412505600 421253120 427835200 445952000 465264640 472534400 487073920 492544000 494684450 507699200 510848000 515632000 526566400 534794000 547629056 581580800 590668000 604844032 608842400 633196096 634624000 658208000 660008960 684536320 726976000 756055040 761053000 779318272 791495120 817356800 825011200 842506240 855670400 891904000 945068800 974147840 989368900 1021696000 1031264000 1053132800 1069588000 1095258112 1163161600 1181336000 1209688064 1217684800 1236711125 1266392192 1269248000 1316416000 1320017920 1369072640 1453952000 1512110080 1522106000 1558636544 1582990240 1650022400 1711340800 1890137600 1948295680 1978737800 2043392000 2062528000 2106265600 2139176000 2190516224 2326323200 2362672000 2435369600 2473422250 2532784384 2538496000 2632832000 2738145280 2907904000 3024220160 3044212000 3117273088 3165980480 3300044800 3422681600 3780275200 3896591360 3957475600 4086784000 4125056000 4212531200 4278352000 4725344000 4870739200 4946844500 5065568768 5265664000 5476290560 5815808000 6048440320 6088424000 6234546176 6331960960 6600089600 6845363200 7560550400 7793182720 7914951200 8250112000 8556704000 9450688000 9741478400 9893689000 10131137536 10531328000 10952581120 11631616000 12176848000 12663921920 13690726400 15121100800 15586365440 15829902400 16500224000 17113408000 18901376000 19482956800 19787378000 20262275072 21062656000 24353696000 25327843840 27381452800 30242201600 31172730880 31659804800 33000448000 34226816000 37802752000 38965913600 39574756000 40524550144 48707392000 50655687680 54762905600 63319609600 68453632000 75605504000 77931827200 79149512000 81049100288 97414784000 101311375360 126639219200 136907264000 151211008000 155863654400 158299024000 194829568000 202622750720 253278438400 273814528000 316598048000 389659136000 405245501440 506556876800 633196096000 779318272000 1013113753600 1266392192000 2026227507200 2532784384000 5065568768000 10131137536000
- Sum of all divisors σ(n): 28476675811584
- Sum of proper divisors (its aliquot sum) s(n): 18345538275584
- 10131137536000 is an abundant number, because the sum of its proper divisors (18345538275584) is greater than itself. Its abundance is 8214400739584
Bases of 10131137536000
- Binary: 100100110110110101101101101010100000000000002
- Hexadecimal: 0x936D6DAA000
- Base-36: 3LA6HPL34
Squares and roots of 10131137536000
- 10131137536000 squared (101311375360002) is 102639947773348151296000000
- 10131137536000 cubed (101311375360003) is 1039859427579647075991112646656000000000
-
The
square root of 10131137536000 is 3182944.7899704449 -
The
cube root of 10131137536000 is 21638.1139598777
Scales and comparisons
How big is 10131137536000?- 10,131,137,536,000 seconds is equal to 322,138 years, 43 weeks, 3 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 10,131,137,536,000 would take you about eight hundred five thousand, three hundred forty-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 10131137536000 cubic inches would be around 1803.2 feet tall.
Recreational maths with 10131137536000
- 10131137536000 backwards is 00063573113101
- The number of decimal digits it has is: 14
- The sum of 10131137536000's digits is 31
- More coming soon!
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The information we have on file for 10131137536000 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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