137239970400
137,239,970,400 is an even composite number composed of six prime numbers multiplied together.
137239970400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137239970400:
25 × 32 × 52 × 13 × 211 × 6949
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 211 × 6949)See below for interesting mathematical facts about the number 137239970400 from the Numbermatics database.
Names of 137239970400
- Cardinal: 137239970400 can be written as One hundred thirty-seven billion, two hundred thirty-nine million, nine hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.372399704 × 1011
Factors of 137239970400
Divisors of 137239970400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 180 195 200 208 211 225 234 240 260 288 300 312 325 360 390 400 416 422 450 468 480 520 585 600 624 633 650 720 780 800 844 900 936 975 1040 1055 1170 1200 1248 1266 1300 1440 1560 1688 1800 1872 1899 1950 2080 2110 2340 2400 2532 2600 2743 2925 3120 3165 3376 3600 3744 3798 3900 4220 4680 5064 5200 5275 5486 5850 6240 6330 6752 6949 7200 7596 7800 8229 8440 9360 9495 10128 10400 10550 10972 11700 12660 13715 13898 15192 15600 15825 16458 16880 18720 18990 20256 20847 21100 21944 23400 24687 25320 27430 27796 30384 31200 31650 32916 33760 34745 37980 41145 41694 42200 43888 46800 47475 49374 50640 54860 55592 60768 62541 63300 65832 68575 69490 75960 82290 83388 84400 87776 90337 93600 94950 98748 101280 104235 109720 111184 123435 125082 126600 131664 137150 138980 151920 164580 166776 168800 173725 180674 189900 197496 205725 208470 219440 222368 246870 250164 253200 263328 271011 274300 277960 303840 312705 329160 333552 347450 361348 379800 394992 411450 416940 438880 451685 493740 500328 506400 521175 542022 548600 555920 617175 625410 658320 667104 694900 722696 759600 789984 813033 822900 833880 903370 987480 1000656 1042350 1084044 1097200 1111840 1234350 1250820 1316640 1355055 1389800 1445392 1466239 1519200 1563525 1626066 1645800 1667760 1806740 1974960 2001312 2084700 2168088 2194400 2258425 2468700 2501640 2710110 2779600 2890784 2932478 3127050 3252132 3291600 3335520 3613480 3949920 4065165 4169400 4336176 4398717 4516850 4937400 5003280 5420220 5559200 5864956 6254100 6504264 6583200 6775275 7226960 7331195 8130330 8338800 8672352 8797434 9033700 9874800 10006560 10840440 11729912 12508200 13008528 13196151 13550550 14453920 14662390 16260660 16677600 17594868 18067400 19061107 19749600 20325825 21680880 21993585 23459824 25016400 26017056 26392302 27101100 29324780 32521320 35189736 36134800 36655975 38122214 40651650 43361760 43987170 46919648 50032800 52784604 54202200 57183321 58649560 65042640 65980755 70379472 72269600 73311950 76244428 81303300 87974340 95305535 105569208 108404400 109967925 114366642 117299120 130085280 131961510 140758944 146623900 152488856 162606600 171549963 175948680 190611070 211138416 216808800 219935850 228733284 234598240 263923020 285916605 293247800 304977712 325213200 329903775 343099926 351897360 381222140 422276832 439871700 457466568 476527675 527846040 571833210 586495600 609955424 650426400 659807550 686199852 703794720 762444280 857749815 879743400 914933136 953055350 1055692080 1143666420 1172991200 1319615100 1372399704 1429583025 1524888560 1715499630 1759486800 1829866272 1906110700 2111384160 2287332840 2639230200 2744799408 2859166050 3049777120 3430999260 3518973600 3812221400 4288749075 4574665680 5278460400 5489598816 5718332100 6861998520 7624442800 8577498150 9149331360 10556920800 11436664200 13723997040 15248885600 17154996300 22873328400 27447994080 34309992600 45746656800 68619985200 137239970400
- Sum of all divisors σ(n): 523714136400
- Sum of proper divisors (its aliquot sum) s(n): 386474166000
- 137239970400 is an abundant number, because the sum of its proper divisors (386474166000) is greater than itself. Its abundance is 249234195600
Bases of 137239970400
- Binary: 11111111101000010001111000010011000002
- Hexadecimal: 0x1FF423C260
- Base-36: 1R1P4UW0
Squares and roots of 137239970400
- 137239970400 squared (1372399704002) is 18834809475392876160000
- 137239970400 cubed (1372399704003) is 2584888694892557852569265664000000
-
The
square root of 137239970400 is 370459.1345884187 -
The
cube root of 137239970400 is 5158.1449073323
Scales and comparisons
How big is 137239970400?- 137,239,970,400 seconds is equal to 4,363 years, 41 weeks, 6 days, 14 hours.
-
To count from 1 to 137,239,970,400 would take you about eight thousand, seven hundred twenty-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 137239970400 cubic inches would be around 429.8 feet tall.
Recreational maths with 137239970400
- 137239970400 backwards is 004079932731
- 137239970400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137239970400's digits is 45
- More coming soon!
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