137931144000
137,931,144,000 is an even composite number composed of six prime numbers multiplied together.
137931144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 137931144000:
26 × 3 × 53 × 13 × 592 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 59 × 59 × 127)See below for interesting mathematical facts about the number 137931144000 from the Numbermatics database.
Names of 137931144000
- Cardinal: 137931144000 can be written as One hundred thirty-seven billion, nine hundred thirty-one million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.37931144 × 1011
Factors of 137931144000
Divisors of 137931144000
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 59 60 64 65 75 78 80 96 100 104 118 120 125 127 130 150 156 160 177 192 195 200 208 236 240 250 254 260 295 300 312 320 325 354 375 381 390 400 416 472 480 500 508 520 590 600 624 635 650 708 750 762 767 780 800 832 885 944 960 975 1000 1016 1040 1180 1200 1248 1270 1300 1416 1475 1500 1524 1534 1560 1600 1625 1651 1770 1888 1905 1950 2000 2032 2080 2301 2360 2400 2496 2540 2600 2832 2950 3000 3048 3068 3120 3175 3250 3302 3481 3540 3776 3810 3835 3900 4000 4064 4160 4425 4602 4720 4800 4875 4953 5080 5200 5664 5900 6000 6096 6136 6240 6350 6500 6604 6962 7080 7375 7493 7620 7670 7800 8000 8128 8255 8850 9204 9440 9525 9750 9906 10160 10400 10443 11328 11505 11800 12000 12192 12272 12480 12700 13000 13208 13924 14160 14750 14986 15240 15340 15600 15875 16510 17405 17700 18408 18880 19050 19175 19500 19812 20320 20800 20886 22125 22479 23010 23600 24000 24384 24544 24765 25400 26000 26416 27848 28320 29500 29972 30480 30680 31200 31750 33020 34810 35400 36816 37465 38100 38350 39000 39624 40640 41275 41772 44250 44958 45253 46020 47200 47625 49088 49530 50800 52000 52215 52832 55696 56640 57525 59000 59944 60960 61360 62400 63500 66040 69620 70800 73632 74930 76200 76700 78000 79248 82550 83544 87025 88500 89916 90506 92040 94400 95250 95875 97409 99060 101600 104000 104430 105664 111392 112395 115050 118000 119888 121920 122720 123825 127000 132080 135759 139240 141600 147264 149860 152400 153400 156000 158496 165100 167088 174050 177000 179832 181012 184080 187325 190500 191750 194818 198120 203200 206375 208860 222784 224790 226265 230100 236000 239776 245440 247650 254000 261075 264160 271518 278480 283200 287625 292227 299720 304800 306800 312000 316992 330200 334176 348100 354000 359664 362024 368160 374650 381000 383500 389636 396240 412750 417720 435125 442087 449580 452530 460200 472000 479552 487045 495300 508000 522150 528320 543036 556960 561975 575250 584454 599440 609600 613600 619125 660400 668352 678795 696200 708000 719328 724048 736320 749300 762000 767000 779272 792480 825500 835440 870250 884174 899160 905060 920400 936625 974090 990600 1016000 1044300 1086072 1113920 1123950 1131325 1150500 1168908 1198880 1227200 1238250 1305375 1320800 1326261 1357590 1392400 1416000 1438656 1448096 1461135 1498600 1524000 1534000 1558544 1584960 1651000 1670880 1740500 1768348 1798320 1810120 1840800 1873250 1948180 1981200 2088600 2172144 2210435 2247900 2262650 2301000 2337816 2397760 2435225 2476500 2610750 2641600 2652522 2715180 2784800 2809875 2896192 2922270 2997200 3048000 3068000 3117088 3302000 3341760 3393975 3481000 3536696 3596640 3620240 3681600 3746500 3896360 3962400 4177200 4344288 4420870 4495800 4525300 4602000 4675632 4870450 4953000 5221500 5305044 5430360 5569600 5619750 5656625 5747131 5844540 5994400 6136000 6234176 6604000 6631305 6787950 6962000 7073392 7193280 7240480 7305675 7493000 7792720 7924800 8354400 8688576 8841740 8991600 9050600 9204000 9351264 9740900 9906000 10443000 10610088 10860720 11052175 11239500 11313250 11494262 11689080 11988800 12176125 13208000 13262610 13575900 13924000 14146784 14480960 14611350 14986000 15585440 16708800 16969875 17241393 17683480 17983200 18101200 18408000 18702528 19481800 19812000 20886000 21220176 21721440 22104350 22479000 22626500 22988524 23378160 24352250 26525220 27151800 27848000 28293568 28735655 29222700 29972000 31170880 33156525 33939750 34482786 35366960 35966400 36202400 36528375 38963600 39624000 41772000 42440352 43442880 44208700 44958000 45253000 45977048 46756320 48704500 53050440 54303600 55260875 57471310 58445400 59944000 66313050 67879500 68965572 70733920 72404800 73056750 77927200 83544000 84880704 86206965 88417400 89916000 90506000 91954096 93512640 97409000 106100880 108607200 110521750 114942620 116890800 132626100 135759000 137931144 141467840 143678275 146113500 155854400 165782625 172413930 176834800 179832000 181012000 183908192 194818000 212201760 217214400 221043500 229885240 233781600 265252200 271518000 275862288 287356550 292227000 331565250 344827860 353669600 362024000 367816384 389636000 424403520 431034825 442087000 459770480 467563200 530504400 543036000 551724576 574713100 584454000 663130500 689655720 707339200 718391375 779272000 862069650 884174000 919540960 1061008800 1086072000 1103449152 1149426200 1168908000 1326261000 1379311440 1436782750 1724139300 1768348000 1839081920 2122017600 2155174125 2298852400 2337816000 2652522000 2758622880 2873565500 3448278600 3536696000 4310348250 4597704800 5305044000 5517245760 5747131000 6896557200 8620696500 9195409600 10610088000 11494262000 13793114400 17241393000 22988524000 27586228800 34482786000 45977048000 68965572000 137931144000
- Sum of all divisors σ(n): 502865965056
- Sum of proper divisors (its aliquot sum) s(n): 364934821056
- 137931144000 is an abundant number, because the sum of its proper divisors (364934821056) is greater than itself. Its abundance is 227003677056
Bases of 137931144000
- Binary: 100000000111010101011000111011010000002
- Hexadecimal: 0x201D563B40
- Base-36: 1RD4N3UO
Squares and roots of 137931144000
- 137931144000 squared (1379311440002) is 19025000485148736000000
- 137931144000 cubed (1379311440003) is 2624140081517120166633984000000000
-
The
square root of 137931144000 is 371390.8237961729 -
The
cube root of 137931144000 is 5166.7896319445
Scales and comparisons
How big is 137931144000?- 137,931,144,000 seconds is equal to 4,385 years, 40 weeks, 5 days, 6 hours, 40 minutes.
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To count from 1 to 137,931,144,000 would take you about eight thousand, seven hundred seventy-one 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 137931144000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137931144000
- 137931144000 backwards is 000441139731
- The number of decimal digits it has is: 12
- The sum of 137931144000's digits is 33
- More coming soon!
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