137950670400
137,950,670,400 is an even composite number composed of seven prime numbers multiplied together.
137950670400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 137950670400:
26 × 3 × 52 × 19 × 61 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 61 × 137 × 181)See below for interesting mathematical facts about the number 137950670400 from the Numbermatics database.
Names of 137950670400
- Cardinal: 137950670400 can be written as One hundred thirty-seven billion, nine hundred fifty million, six hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.379506704 × 1011
Factors of 137950670400
Divisors of 137950670400
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 61 64 75 76 80 95 96 100 114 120 122 137 150 152 160 181 183 190 192 200 228 240 244 274 285 300 304 305 320 362 366 380 400 411 456 475 480 488 543 548 570 600 608 610 685 724 732 760 800 822 905 912 915 950 960 976 1086 1096 1140 1159 1200 1216 1220 1370 1425 1448 1464 1520 1525 1600 1644 1810 1824 1830 1900 1952 2055 2172 2192 2280 2318 2400 2440 2603 2715 2740 2850 2896 2928 3040 3050 3288 3425 3439 3477 3620 3648 3660 3800 3904 4110 4344 4384 4525 4560 4575 4636 4800 4880 5206 5430 5480 5700 5792 5795 5856 6080 6100 6576 6850 6878 6954 7240 7320 7600 7809 8220 8357 8688 8768 9050 9120 9150 9272 9760 10275 10317 10412 10860 10960 11041 11400 11584 11590 11712 12200 13015 13152 13575 13700 13756 13908 14480 14640 15200 15618 16440 16714 17195 17376 17385 18100 18240 18300 18544 19520 20550 20634 20824 21720 21920 22082 22800 23180 24400 24797 25071 26030 26304 27150 27400 27512 27816 28960 28975 29280 30400 31236 32880 33123 33428 34390 34752 34770 36200 36600 37088 39045 41100 41268 41648 41785 43440 43840 44164 45600 46360 48800 49594 50142 51585 52060 54300 54800 55024 55205 55632 57920 57950 58560 62472 65075 65760 66246 66856 68780 69540 72400 73200 74176 74391 78090 82200 82536 83296 83570 85975 86880 86925 88328 91200 92720 97600 99188 100284 103170 104120 108600 109600 110048 110410 111264 115900 123985 124944 125355 130150 131520 132492 133712 137560 139080 144800 146400 148782 156180 158783 164400 165072 165615 166592 167140 171950 173760 173850 176656 185440 195225 198376 200568 206340 208240 208925 209779 217200 219200 220096 220820 222528 231800 247970 249888 250710 257925 260300 264984 267424 275120 276025 278160 289600 292800 297564 312360 317566 328800 330144 331230 334280 343900 347700 353312 370880 371955 390450 396752 401136 412680 416480 417850 419558 434400 441640 463600 471143 476349 495940 499776 501420 515850 520600 529968 534848 550240 552050 556320 595128 619925 624720 626775 629337 635132 657600 660288 662460 668560 687800 695400 706624 743910 780900 793504 793915 802272 825360 828075 832960 835700 839116 868800 883280 927200 942286 952698 991880 1002840 1031700 1041200 1048895 1059936 1100480 1104100 1112640 1190256 1239850 1249440 1253550 1258674 1270264 1324920 1337120 1375600 1390800 1413429 1487820 1512617 1561800 1587008 1587830 1604544 1650720 1656150 1671400 1678232 1766560 1854400 1859775 1884572 1905396 1983760 2005680 2063400 2082400 2097790 2119872 2208200 2355715 2380512 2381745 2479700 2498880 2507100 2517348 2540528 2649840 2674240 2751200 2781600 2826858 2975640 3025234 3123600 3146685 3175660 3301440 3312300 3342800 3356464 3533120 3719550 3769144 3810792 3967520 3969575 4011360 4126800 4164800 4195580 4416400 4537851 4711430 4761024 4763490 4959400 5014200 5034696 5081056 5244475 5299680 5502400 5563200 5653716 5951280 6050468 6247200 6293370 6351320 6624600 6685600 6712928 7067145 7439100 7538288 7563085 7621584 7935040 7939150 8022720 8253600 8391160 8832800 9075702 9422860 9526980 9918800 10028400 10069392 10162112 10488950 10599360 11307432 11778575 11902560 11908725 12100936 12494400 12586740 12702640 13249200 13371200 13425856 14134290 14878200 15076576 15126170 15243168 15733425 15878300 16507200 16782320 17665600 18151404 18845720 19053960 19837600 20056800 20138784 20977900 22614864 22689255 23557150 23805120 23817450 24201872 25173480 25405280 26498400 28268580 28739723 29756400 30153152 30252340 30486336 31466850 31756600 33564640 35335725 36302808 37691440 37815425 38107920 39675200 40113600 40277568 41955800 45229728 45378510 47114300 47634900 48403744 50346960 50810560 52996800 56537160 57479446 59512800 60504680 62933700 63513200 67129280 70671450 72605616 75382880 75630850 76215840 83911600 86219169 90459456 90757020 94228600 95269800 96807488 100693920 113074320 113446275 114958892 119025600 121009360 125867400 127026400 141342900 143698615 145211232 150765760 151261700 152431680 167823200 172438338 181514040 188457200 190539600 201387840 226148640 226892550 229917784 242018720 251734800 254052800 282685800 287397230 290422464 302523400 335646400 344876676 363028080 376914400 381079200 431095845 452297280 453785100 459835568 484037440 503469600 565371600 574794460 605046800 689753352 718493075 726056160 753828800 762158400 862191690 907570200 919671136 1006939200 1130743200 1149588920 1210093600 1379506704 1436986150 1452112320 1724383380 1815140400 1839342272 2155479225 2261486400 2299177840 2420187200 2759013408 2873972300 3448766760 3630280800 4310958450 4598355680 5518026816 5747944600 6897533520 7260561600 8621916900 9196711360 11495889200 13795067040 17243833800 22991778400 27590134080 34487667600 45983556800 68975335200 137950670400
- Sum of all divisors σ(n): 490453192320
- Sum of proper divisors (its aliquot sum) s(n): 352502521920
- 137950670400 is an abundant number, because the sum of its proper divisors (352502521920) is greater than itself. Its abundance is 214551851520
Bases of 137950670400
- Binary: 100000000111101000000000101110010000002
- Hexadecimal: 0x201E802E40
- Base-36: 1RDG9MIO
Squares and roots of 137950670400
- 137950670400 squared (1379506704002) is 19030387463809436160000
- 137950670400 cubed (1379506704003) is 2625254708604267456118001664000000
-
The
square root of 137950670400 is 371417.1110759439 -
The
cube root of 137950670400 is 5167.0334348493
Scales and comparisons
How big is 137950670400?- 137,950,670,400 seconds is equal to 4,386 years, 21 weeks, 6 hours, 40 minutes.
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To count from 1 to 137,950,670,400 would take you about eight thousand, seven hundred seventy-two 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 137950670400 cubic inches would be around 430.6 feet tall.
Recreational maths with 137950670400
- 137950670400 backwards is 004076059731
- The number of decimal digits it has is: 12
- The sum of 137950670400's digits is 42
- More coming soon!
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