137382946272990
137,382,946,272,990 is an even composite number composed of seven prime numbers multiplied together.
137382946272990 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137382946272990:
2 × 33 × 5 × 112 × 31 × 137 × 990151
(2 × 3 × 3 × 3 × 5 × 11 × 11 × 31 × 137 × 990151)See below for interesting mathematical facts about the number 137382946272990 from the Numbermatics database.
Names of 137382946272990
- Cardinal: 137382946272990 can be written as One hundred thirty-seven trillion, three hundred eighty-two billion, nine hundred forty-six million, two hundred seventy-two thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 1.3738294627299 × 1014
Factors of 137382946272990
Divisors of 137382946272990
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 90 93 99 110 121 135 137 155 165 186 198 242 270 274 279 297 310 330 341 363 411 465 495 558 594 605 682 685 726 822 837 930 990 1023 1089 1210 1233 1370 1395 1485 1507 1674 1705 1815 2046 2055 2178 2466 2790 2970 3014 3069 3267 3410 3630 3699 3751 4110 4185 4247 4521 5115 5445 6138 6165 6534 7398 7502 7535 8370 8494 9042 9207 10230 10890 11253 12330 12741 13563 15070 15345 16335 16577 18414 18495 18755 21235 22506 22605 25482 27126 30690 32670 33154 33759 36990 37510 38223 40689 42470 45210 46035 46717 49731 56265 63705 67518 67815 76446 81378 82885 92070 93434 99462 101277 112530 114669 127410 135630 140151 149193 165770 168795 191115 202554 203445 229338 233585 248655 280302 298386 337590 382230 406890 420453 447579 467170 497310 506385 513887 573345 700755 745965 840906 895158 990151 1012770 1027774 1146690 1261359 1401510 1491930 1541661 1980302 2102265 2237895 2522718 2569435 2970453 3083322 4204530 4475790 4624983 4950755 5138870 5940906 6306795 7708305 8911359 9249966 9901510 10891661 12613590 13874949 14852265 15416610 17822718 21783322 23124915 26734077 27749898 29704530 30694681 32674983 44556795 46249830 53468154 54458305 61389362 65349966 69374745 89113590 92084043 98024949 108916610 119808271 133670385 135650687 138749490 153473405 163374915 184168086 196049898 239616542 267340770 271301374 276252129 294074847 306946810 326749830 337641491 359424813 406952061 460420215 490124745 552504258 588149694 599041355 675282982 678253435 718849626 813904122 828756387 920840430 980249490 1012924473 1078274439 1198082710 1220856183 1356506870 1381260645 1470374235 1492157557 1657512774 1688207455 1797124065 2025848946 2034760305 2156548878 2441712366 2762521290 2940748470 2984315114 3038773419 3234823317 3376414910 3594248130 3662568549 3714056401 4069520610 4143781935 4205171297 4476472671 5064622365 5391372195 6077546838 6104280915 6469646634 7325137098 7428112802 7460787785 8287563870 8410342594 8952945342 9116320257 10129244730 10782744390 11142169203 12208561830 12615513891 13429418013 14921575570 15193867095 16174116585 16413733127 18232640514 18312842745 18570282005 21025856485 22284338406 22382363355 25231027782 26858836026 30387734190 32348233170 32827466254 33426507609 36625685490 37140564010 37846541673 40288254039 42051712970 44764726710 45581601285 46256884267 49241199381 55710846015 63077569455 66853015218 67147090065 75693083346 80576508078 82068665635 91163202570 92513768534 98482398762 100279522827 111421692030 113539625019 126155138910 134294180130 138770652801 147723598143 164137331270 167132538045 189232708365 200559045654 201441270195 227079250038 231284421335 246205996905 277541305602 295447196286 334265076090 378465416730 402882540390 416311958403 443170794429 462568842670 492411993810 501397614135 508825726937 567698125095 693853264005 738617990715 832623916806 886341588858 1002795228270 1017651453874 1135396250190 1248935875209 1387706528010 1477235981430 1526477180811 2081559792015 2215853972145 2497871750418 2544128634685 3052954361622 4163119584030 4431707944290 4579431542433 5088257269370 6244679376045 7632385904055 9158863084866 12489358752090 13738294627299 15264771808110 22897157712165 27476589254598 45794315424330 68691473136495 137382946272990
- Sum of all divisors σ(n): 418711675576320
- Sum of proper divisors (its aliquot sum) s(n): 281328729303330
- 137382946272990 is an abundant number, because the sum of its proper divisors (281328729303330) is greater than itself. Its abundance is 143945783030340
Bases of 137382946272990
- Binary: 111110011110010111101011011010111110110110111102
- Hexadecimal: 0x7CF2F5B5F6DE
- Base-36: 1CP4UR36JI
Squares and roots of 137382946272990
- 137382946272990 squared (1373829462729902) is 18874073926647256931603540100
- 137382946272990 cubed (1373829462729903) is 2592975884217021501318049512725585011899000
-
The
square root of 137382946272990 is 11721047.1491667501 -
The
cube root of 137382946272990 is 51599.3552832169
Scales and comparisons
How big is 137382946272990?- 137,382,946,272,990 seconds is equal to 4,368,352 years, 38 weeks, 2 days, 16 hours, 16 minutes, 30 seconds.
-
To count from 1 to 137,382,946,272,990 would take you about ten million, nine hundred twenty thousand, eight hundred eighty-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 137382946272990 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137382946272990
- 137382946272990 backwards is 099272649283731
- The number of decimal digits it has is: 15
- The sum of 137382946272990's digits is 72
- More coming soon!
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