131074172968000
131,074,172,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 131074172968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
131074172968000 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 131074172968000:
26 × 53 × 31 × 412 × 59 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 41 × 41 × 59 × 73 × 73)See below for interesting mathematical facts about the number 131074172968000 from the Numbermatics database.
Names of 131074172968000
- Cardinal: 131074172968000 can be written as One hundred thirty-one trillion, seventy-four billion, one hundred seventy-two million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31074172968 × 1014
Factors of 131074172968000
Divisors of 131074172968000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 41 50 59 62 64 73 80 82 100 118 124 125 146 155 160 164 200 205 236 248 250 292 295 310 320 328 365 400 410 472 496 500 584 590 620 656 730 775 800 820 944 992 1000 1025 1168 1180 1240 1271 1312 1460 1475 1550 1600 1640 1681 1825 1829 1888 1984 2000 2050 2263 2336 2360 2419 2480 2542 2624 2920 2950 2993 3100 3280 3362 3650 3658 3776 3875 4000 4100 4307 4526 4672 4720 4838 4960 5084 5125 5329 5840 5900 5986 6200 6355 6560 6724 7300 7316 7375 7750 8000 8200 8405 8614 9052 9125 9145 9440 9676 9920 10168 10250 10658 11315 11680 11800 11972 12095 12400 12710 13120 13448 14600 14632 14750 14965 15500 16400 16810 17228 18104 18250 18290 18880 19352 20336 20500 21316 21535 22630 23360 23600 23944 24190 24800 25420 26645 26896 29200 29264 29500 29930 31000 31775 32800 33620 34456 36208 36500 36580 38704 40672 41000 42025 42632 43070 45260 45725 47200 47888 48380 49600 50840 52111 53290 53792 56575 58400 58528 59000 59860 60475 62000 63550 65600 67240 68912 72416 73000 73160 74825 74989 77408 81344 82000 84050 85264 86140 90520 91450 92783 94400 95776 96760 99179 101680 104222 106580 107584 107675 113150 116800 117056 118000 119720 120950 122713 124000 127100 133225 133517 134480 137824 144832 146000 146320 149650 149978 154816 158875 164000 165199 168100 170528 172280 176587 181040 182900 185566 191552 193520 198358 203360 208444 210125 213160 215350 218489 226300 228625 236000 239440 241900 245426 248000 254200 260555 266450 267034 268960 275648 282875 292000 292640 299300 299956 302375 314411 317750 328000 330398 336200 341056 344560 353174 362080 365800 371132 374125 374945 387040 396716 406720 416888 420250 426320 430700 436978 452600 457250 463915 472000 478880 483800 490852 495895 508400 521110 532900 534068 537920 538375 565750 584000 585280 598600 599912 604750 613565 628822 635500 660796 666125 667585 672400 689120 706348 724160 731600 742264 748250 749890 774080 793432 825995 833776 840500 852640 861400 873956 882935 905200 914500 927830 957760 967600 981704 991790 1016800 1042220 1065800 1068136 1076750 1092445 1131500 1197200 1199824 1209500 1227130 1257644 1271000 1302775 1321592 1332250 1335170 1344800 1378240 1412696 1463200 1484528 1496500 1499780 1572055 1586864 1651990 1667552 1681000 1705280 1722800 1747912 1765870 1810400 1829000 1855660 1874725 1935200 1963408 1983580 2033600 2084440 2131600 2136272 2153500 2184890 2263000 2319575 2394400 2399648 2419000 2454260 2479475 2515288 2542000 2605550 2643184 2664500 2670340 2689600 2825392 2926400 2969056 2993000 2999560 3067825 3074549 3144110 3173728 3303980 3335104 3337925 3362000 3445600 3495824 3531740 3620800 3658000 3711320 3749450 3804103 3870400 3926816 3967160 4129975 4168880 4263200 4272544 4307000 4369780 4414675 4526000 4639150 4788800 4799296 4838000 4908520 4958950 5030576 5084000 5211100 5286368 5329000 5340680 5462225 5474197 5650784 5938112 5986000 5999120 6135650 6149098 6288220 6347456 6513875 6607960 6675850 6724000 6773159 6891200 6991648 7063480 7240067 7316000 7422640 7498900 7608206 7853632 7860275 7934320 8259950 8337760 8526400 8545088 8614000 8739560 8829350 8958049 9052000 9278300 9373625 9676000 9746741 9817040 9917900 10061152 10168000 10422200 10572736 10658000 10681360 10924450 10948394 11301568 11597875 11972000 11998240 12271300 12298196 12397375 12576440 12890851 13027750 13215920 13351700 13448000 13546318 13983296 14126960 14480134 14632000 14845280 14997800 15216412 15339125 15372745 15720550 15868640 16519900 16675520 16689625 17228000 17479120 17658700 17916098 18104000 18556600 18747250 19020515 19352000 19493482 19634080 19835800 20122304 20649875 20844400 21316000 21362720 21848900 21896788 22073375 23195750 23944000 23996480 24542600 24596392 24794750 25152880 25781702 26055500 26431840 26703400 27092636 27311125 27370985 28253920 28960268 29690560 29995600 30432824 30678250 30745490 31441100 31737280 33039800 33379250 33865795 34456000 34958240 35317400 35832196 36200335 37113200 37494500 38041030 38986964 39268160 39301375 39671600 41299750 41688800 42632000 42725440 43697800 43793576 44146750 44790245 46391500 48733705 49085200 49192784 49589500 50305760 51563404 52111000 52863680 53406800 54185272 54622250 54741970 56507840 57920536 59991200 60865648 61356500 61490980 62882200 64454255 66079600 66758500 67731590 69916480 70634800 71664392 72400670 74226400 74989000 76082060 76863725 77973928 78602750 79343200 82599500 83377600 87395600 87587152 88293500 89580490 92783000 95102575 97467410 98170400 98385568 99179000 100611520 103126808 104222000 106813600 108370544 109244500 109483940 115841072 119982400 121731296 122713000 122981960 125764400 128908510 132159200 133517000 135463180 136854925 141269600 143328784 144801340 148452800 149978000 152164120 153727450 155947856 157205500 158686400 165199000 169328975 174791200 175174304 176587000 179160980 181001675 185566000 190205150 194934820 196340800 196771136 198358000 206253616 208444000 213627200 216741088 218489000 218967880 223951225 224442077 231682144 243462592 243668525 245426000 245963920 251528800 257817020 264318400 267034000 270926360 273709850 277699519 282539200 286657568 289602680 299956000 304328240 307454900 311895712 314411000 322271275 330398000 338657950 349582400 350348608 353174000 358321960 362003350 371132000 380410300 384318625 389869640 396716000 399616381 412507232 416888000 433482176 436978000 437935760 447902450 448884154 463364288 475512875 487337050 490852000 491927840 503057600 515634040 528524891 534068000 541852720 547419700 555399038 573315136 579205360 599912000 608656480 614909800 623791424 628822000 644542550 660796000 677315900 684274625 706348000 716643920 724006700 742264000 760820600 768637250 779739280 793432000 799232762 825014464 846644875 873956000 875871520 895804900 897768308 905008375 951025750 974674100 981704000 983855680 1031268080 1057049782 1068136000 1083705440 1094839400 1110798076 1119756125 1122210385 1158410720 1217312960 1218342625 1229819600 1257644000 1289085100 1321592000 1354631800 1368549250 1388497595 1412696000 1433287840 1448013400 1521641200 1537274500 1559478560 1598465524 1611356375 1693289750 1747912000 1751743040 1791609800 1795536616 1810016750 1902051500 1949348200 1998081905 2062536160 2114099564 2167410880 2189678800 2221596152 2239512250 2244420770 2316821440 2436685250 2459639200 2515288000 2578170200 2642624455 2709263600 2737098500 2776995190 2866575680 2896026800 3043282400 3074549000 3118957120 3196931048 3222712750 3386579500 3583219600 3591073232 3620033500 3804103000 3898696400 3996163810 4125072320 4228199128 4379357600 4443192304 4479024500 4488841540 4873370500 4919278400 5156340400 5285248910 5418527200 5474197000 5553990380 5611051925 5792053600 6086564800 6149098000 6393862096 6445425500 6773159000 6942487975 7166439200 7182146464 7240067000 7608206000 7797392800 7992327620 8456398256 8758715200 8886384608 8958049000 8977683080 9746741000 9990409525 10312680800 10570497820 10837054400 10948394000 11107980760 11222103850 11584107200 12298196000 12787724192 12890851000 13213122275 13546318000 13884975950 14332878400 14364292928 14480134000 15216412000 15594785600 15984655240 16384271621 16912796512 17772769216 17916098000 17955366160 19493482000 19980819050 20625361600 21140995640 21896788000 22215961520 22444207700 24596392000 25575448384 25781702000 26426244550 27092636000 27769951900 28055259625 28960268000 30432824000 31969310480 32768543242 33825593024 34712439875 35832196000 35910732320 38986964000 39961638100 42281991280 43793576000 44431923040 44888415400 49952047625 51563404000 52852489100 54185272000 55539903800 56110519250 57920536000 63938620960 65537086484 66065611375 69424879750 71664392000 71821464640 77973928000 79923276200 81921358105 84563982560 88863846080 89776830800 99904095250 103126808000 105704978200 111079807600 112221038500 127877241920 131074172968 132131222750 138849759500 159846552400 163842716210 169127965120 179553661600 199808190500 211409956400 222159615200 224442077000 262148345936 264262445500 277699519000 319693104800 327685432420 359107323200 399616381000 409606790525 422819912800 444319230400 448884154000 524296691872 528524891000 555399038000 639386209600 655370864840 799232762000 819213581050 845639825600 897768308000 1048593383744 1057049782000 1110798076000 1310741729680 1598465524000 1638427162100 1795536616000 2048033952625 2114099564000 2221596152000 2621483459360 3196931048000 3276854324200 4096067905250 4228199128000 5242966918720 6553708648400 8192135810500 13107417296800 16384271621000 26214834593600 32768543242000 65537086484000 131074172968000
- Sum of all divisors σ(n): 354119459765760
- Sum of proper divisors (its aliquot sum) s(n): 223045286797760
- 131074172968000 is an abundant number, because the sum of its proper divisors (223045286797760) is greater than itself. Its abundance is 91971113829760
Bases of 131074172968000
- Binary: 111011100110110000101011000010011011100010000002
- Hexadecimal: 0x77361584DC40
- Base-36: 1AGMN6CLZ4
Squares and roots of 131074172968000
- 131074172968000 squared (1310741729680002) is 17180438819245181929024000000
- 131074172968000 cubed (1310741729680003) is 2251911809459884663365519675423232000000000
-
The
square root of 131074172968000 is 11448762.9448774945 -
The
cube root of 131074172968000 is 50797.1143720179
Scales and comparisons
How big is 131074172968000?- 131,074,172,968,000 seconds is equal to 4,167,753 years, 13 weeks, 4 days, 3 hours, 6 minutes, 40 seconds.
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To count from 1 to 131,074,172,968,000 would take you about ten million, four hundred nineteen thousand, three hundred eighty-three 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 131074172968000 cubic inches would be around 4233.1 feet tall.
Recreational maths with 131074172968000
- 131074172968000 backwards is 000869271470131
- The number of decimal digits it has is: 15
- The sum of 131074172968000's digits is 49
- More coming soon!
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The information we have on file for 131074172968000 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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