137772396093750
137,772,396,093,750 is an even composite number composed of six prime numbers multiplied together.
137772396093750 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137772396093750:
2 × 3 × 58 × 112 × 172 × 412
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 41 × 41)See below for interesting mathematical facts about the number 137772396093750 from the Numbermatics database.
Names of 137772396093750
- Cardinal: 137772396093750 can be written as One hundred thirty-seven trillion, seven hundred seventy-two billion, three hundred ninety-six million, ninety-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3777239609375 × 1014
Factors of 137772396093750
Divisors of 137772396093750
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 5 6 10 11 15 17 22 25 30 33 34 41 50 51 55 66 75 82 85 102 110 121 123 125 150 165 170 187 205 242 246 250 255 275 289 330 363 374 375 410 425 451 510 550 561 578 605 615 625 697 726 750 825 850 867 902 935 1025 1122 1210 1230 1250 1275 1353 1375 1394 1445 1650 1681 1734 1815 1870 1875 2050 2057 2091 2125 2255 2550 2706 2750 2805 2890 3025 3075 3125 3179 3362 3485 3630 3750 4114 4125 4182 4250 4335 4510 4675 4961 5043 5125 5610 6050 6150 6171 6250 6358 6375 6765 6875 6970 7225 7667 8250 8405 8670 9075 9350 9375 9537 9922 10086 10250 10285 10455 10625 11275 11849 12342 12750 13530 13750 14025 14450 14883 15125 15334 15375 15625 15895 16810 17425 18150 18491 18750 19074 20570 20625 20910 21250 21675 22550 23001 23375 23698 24805 25215 25625 28050 28577 29766 30250 30750 30855 31250 31790 31875 33825 34375 34850 34969 35547 36125 36982 38335 41250 42025 43350 45375 46002 46750 46875 47685 49610 50430 51250 51425 52275 53125 55473 56375 57154 59245 61710 63750 67650 68750 69938 70125 71094 72250 74415 75625 76670 76875 78125 79475 84050 84337 85731 87125 90750 92455 93750 95370 102850 103125 104550 104907 106250 108375 110946 112750 115005 116875 118490 124025 126075 128125 130339 140250 142885 148830 151250 153750 154275 156250 158950 159375 168674 169125 171462 171875 174250 174845 177735 180625 184910 191675 203401 206250 209814 210125 216750 226875 230010 233750 234375 238425 248050 252150 253011 256250 257125 260678 261375 265625 277365 281875 285770 296225 308550 314347 318750 338250 343750 349690 350625 355470 361250 372075 378125 383350 384375 390625 391017 397375 406802 420250 421685 428655 435625 453750 462275 468750 476850 485809 506022 514250 515625 522750 524535 531250 541875 554730 563750 575025 584375 592450 610203 620125 628694 630375 640625 651695 701250 714425 744150 756250 768750 771375 781250 782034 794750 796875 843370 845625 857310 859375 871250 874225 888675 903125 924550 943041 958375 971618 1017005 1031250 1049070 1050625 1083750 1134375 1150050 1168750 1171875 1192125 1220406 1240250 1260750 1265055 1281250 1285625 1303390 1306875 1328125 1386825 1409375 1428850 1433729 1457427 1481125 1542750 1571735 1593750 1691250 1718750 1748450 1753125 1777350 1806250 1860375 1886082 1890625 1916750 1921875 1955085 1986875 2034010 2101250 2108425 2143275 2178125 2268750 2311375 2343750 2384250 2429045 2530110 2571250 2578125 2613750 2622675 2656250 2709375 2773650 2818750 2867458 2875125 2914854 2921875 2962250 3051015 3100625 3143470 3151875 3203125 3258475 3457817 3506250 3572125 3720750 3781250 3843750 3856875 3910170 3973750 3984375 4216850 4228125 4286550 4296875 4301187 4356250 4371125 4443375 4515625 4622750 4715205 4791875 4858090 5085025 5156250 5245350 5253125 5343899 5418750 5671875 5750250 5843750 5960625 6102030 6201250 6303750 6325275 6406250 6428125 6516950 6534375 6640625 6915634 6934125 7046875 7144250 7168645 7287135 7405625 7713750 7858675 7968750 8456250 8593750 8602374 8742250 8765625 8886750 9031250 9301875 9430410 9453125 9583750 9609375 9775425 9934375 10170050 10373451 10506250 10542125 10687798 10716375 10890625 11343750 11556875 11921250 12145225 12650550 12856250 12890625 13068750 13113375 13281250 13546875 13868250 14093750 14337290 14375625 14574270 14609375 14811250 15255075 15503125 15717350 15759375 16015625 16031697 16292375 17289085 17531250 17860625 18603750 18906250 19218750 19284375 19550850 19868750 19921875 20746902 21084250 21140625 21432750 21505935 21781250 21855625 22216875 22578125 23113750 23576025 23959375 24290450 25425125 25781250 26226750 26265625 26719495 27093750 28359375 28751250 29218750 29803125 30510150 31006250 31518750 31626375 32031250 32063394 32140625 32584750 32671875 34578170 34670625 35234375 35721250 35843225 36435675 37028125 38568750 39293375 39843750 42281250 43011870 43711250 43828125 44433750 45156250 46509375 47152050 47265625 47918750 48046875 48877125 49671875 50850250 51867255 52531250 52710625 53438990 53581875 54453125 56718750 57784375 58782889 59606250 60726125 63252750 64281250 65343750 65566875 67734375 69341250 70468750 71686450 71878125 72871350 73046875 74056250 76275375 77515625 78586750 78796875 80158485 81461875 86445425 87656250 89303125 93018750 94531250 96093750 96421875 97754250 99343750 103734510 105421250 105703125 107163750 107529675 108906250 109278125 111084375 112890625 115568750 117565778 117880125 119796875 121452250 127125625 131133750 131328125 133597475 135468750 141796875 143756250 146093750 149015625 152550750 155031250 157593750 158131875 160316970 160703125 162923750 163359375 172890850 173353125 176171875 176348667 178606250 179216125 182178375 185140625 192843750 196466875 211406250 215059350 218556250 219140625 222168750 225781250 232546875 235760250 239593750 244385625 248359375 254251250 259336275 262656250 263553125 267194950 267909375 272265625 283593750 288921875 293914445 298031250 303630625 316263750 321406250 326718750 327834375 338671875 346706250 352343750 352697334 358432250 359390625 364356750 370281250 381376875 387578125 392933750 393984375 400792425 407309375 432227125 438281250 446515625 465093750 482109375 488771250 496718750 518672550 527106250 528515625 535818750 537648375 544531250 546390625 555421875 577843750 587828890 589400625 598984375 607261250 635628125 655668750 656640625 667987375 677343750 718781250 745078125 762753750 775156250 787968750 790659375 801584850 803515625 814618750 816796875 864454250 866765625 881743335 893031250 896080625 910891875 925703125 964218750 982334375 1057031250 1075296750 1092781250 1110843750 1162734375 1178801250 1197968750 1221928125 1241796875 1271256250 1296681375 1313281250 1317765625 1335974750 1339546875 1444609375 1469572225 1490156250 1518153125 1581318750 1607031250 1633593750 1639171875 1733531250 1763486670 1792161250 1796953125 1821783750 1851406250 1906884375 1937890625 1964668750 1969921875 2003962125 2036546875 2161135625 2232578125 2325468750 2410546875 2443856250 2483593750 2593362750 2635531250 2679093750 2688241875 2731953125 2777109375 2889218750 2939144450 2947003125 2994921875 3036306250 3178140625 3278343750 3339936875 3593906250 3725390625 3813768750 3875781250 3939843750 3953296875 4007924250 4073093750 4322271250 4333828125 4408716675 4465156250 4480403125 4554459375 4628515625 4821093750 4911671875 5376483750 5463906250 5554218750 5813671875 5894006250 5989843750 6109640625 6356281250 6483406875 6588828125 6679873750 6697734375 7223046875 7347861125 7450781250 7590765625 7906593750 8195859375 8667656250 8817433350 8960806250 8984765625 9108918750 9257031250 9534421875 9823343750 10019810625 10182734375 10805678125 11162890625 11627343750 12219281250 12966813750 13177656250 13395468750 13441209375 13659765625 13885546875 14446093750 14695722250 14735015625 15181531250 15890703125 16391718750 16699684375 17969531250 19068843750 19766484375 20039621250 20365468750 21611356250 21669140625 22043583375 22325781250 22402015625 22772296875 24558359375 26882418750 27319531250 27771093750 29470031250 30548203125 31781406250 32417034375 32944140625 33399368750 33488671875 36739305625 37953828125 39532968750 40979296875 43338281250 44087166750 44804031250 45544593750 47672109375 49116718750 50099053125 50913671875 54028390625 61096406250 64834068750 65888281250 66977343750 67206046875 73478611250 73675078125 75907656250 79453515625 81958593750 83498421875 95344218750 98832421875 100198106250 101827343750 108056781250 110217916875 112010078125 113861484375 122791796875 134412093750 147350156250 152741015625 158907031250 162085171875 166996843750 183696528125 189769140625 197664843750 220435833750 224020156250 227722968750 238360546875 245583593750 250495265625 270141953125 305482031250 324170343750 336030234375 367393056250 368375390625 379538281250 417492109375 476721093750 500990531250 540283906250 551089584375 560050390625 569307421875 672060468750 736750781250 810425859375 834984218750 918482640625 1102179168750 1120100781250 1138614843750 1252476328125 1350709765625 1620851718750 1680151171875 1836965281250 2087460546875 2504952656250 2701419531250 2755447921875 3360302343750 4052129296875 4174921093750 4592413203125 5510895843750 6262381640625 8104258593750 9184826406250 12524763281250 13777239609375 22962066015625 27554479218750 45924132031250 68886198046875 137772396093750
- Sum of all divisors σ(n): 412217443241436
- Sum of proper divisors (its aliquot sum) s(n): 274445047147686
- 137772396093750 is an abundant number, because the sum of its proper divisors (274445047147686) is greater than itself. Its abundance is 136672651053936
Bases of 137772396093750
- Binary: 111110101001101101000101011101010100001001101102
- Hexadecimal: 0x7D4DA2BAA136
- Base-36: 1CU3RJGFG6
Squares and roots of 137772396093750
- 137772396093750 squared (1377723960937502) is 18981233125413140258789062500
- 137772396093750 cubed (1377723960937503) is 2615089968502227428844911098480224609375000
-
The
square root of 137772396093750 is 11737648.6611991417 -
The
cube root of 137772396093750 is 51648.0668141303
Scales and comparisons
How big is 137772396093750?- 137,772,396,093,750 seconds is equal to 4,380,736 years, 1 week, 6 days, 18 hours, 2 minutes, 30 seconds.
-
To count from 1 to 137,772,396,093,750 would take you about ten million, nine hundred fifty-one thousand, eight hundred forty 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 137772396093750 cubic inches would be around 4304 feet tall.
Recreational maths with 137772396093750
- 137772396093750 backwards is 057390693277731
- The number of decimal digits it has is: 15
- The sum of 137772396093750's digits is 69
- More coming soon!
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"Number 137772396093750 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 137772396093750 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137772396093750/
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The information we have on file for 137772396093750 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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