137503484928
137,503,484,928 is an even composite number composed of five prime numbers multiplied together.
137503484928 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 137503484928:
210 × 34 × 31 × 53 × 1009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 53 × 1009)See below for interesting mathematical facts about the number 137503484928 from the Numbermatics database.
Names of 137503484928
- Cardinal: 137503484928 can be written as One hundred thirty-seven billion, five hundred three million, four hundred eighty-four thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37503484928 × 1011
Factors of 137503484928
Divisors of 137503484928
- Number of divisors d(n): 440
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 53 54 62 64 72 81 93 96 106 108 124 128 144 159 162 186 192 212 216 248 256 279 288 318 324 372 384 424 432 477 496 512 558 576 636 648 744 768 837 848 864 954 992 1009 1024 1116 1152 1272 1296 1431 1488 1536 1643 1674 1696 1728 1908 1984 2018 2232 2304 2511 2544 2592 2862 2976 3027 3072 3286 3348 3392 3456 3816 3968 4036 4293 4464 4608 4929 5022 5088 5184 5724 5952 6054 6572 6696 6784 6912 7632 7936 8072 8586 8928 9081 9216 9858 10044 10176 10368 11448 11904 12108 13144 13392 13568 13824 14787 15264 15872 16144 17172 17856 18162 19716 20088 20352 20736 22896 23808 24216 26288 26784 27136 27243 27648 29574 30528 31279 31744 32288 34344 35712 36324 39432 40176 40704 41472 44361 45792 47616 48432 52576 53477 53568 54272 54486 59148 61056 62558 64576 68688 71424 72648 78864 80352 81408 81729 82944 88722 91584 93837 95232 96864 105152 106954 107136 108972 118296 122112 125116 129152 133083 137376 142848 145296 157728 160431 160704 162816 163458 177444 183168 187674 193728 210304 213908 214272 217944 236592 244224 250232 258304 266166 274752 281511 285696 290592 315456 320862 321408 326916 354888 366336 375348 387456 420608 427816 428544 435888 473184 481293 488448 500464 516608 532332 549504 563022 581184 630912 641724 642816 653832 709776 732672 750696 774912 841216 844533 855632 857088 871776 946368 962586 1000928 1033216 1064664 1099008 1126044 1162368 1261824 1283448 1285632 1307664 1419552 1443879 1465344 1501392 1549824 1657787 1682432 1689066 1711264 1743552 1892736 1925172 2001856 2129328 2198016 2252088 2324736 2523648 2533599 2566896 2571264 2615328 2839104 2887758 3002784 3099648 3315574 3378132 3422528 3487104 3785472 3850344 4003712 4258656 4331637 4396032 4504176 4649472 4973361 5047296 5067198 5133792 5230656 5678208 5775516 6005568 6631148 6756264 6845056 6974208 7570944 7700688 8007424 8517312 8663274 9008352 9298944 9946722 10134396 10267584 10461312 11356416 11551032 12011136 13262296 13512528 13690112 13948416 14920083 15141888 15401376 16014848 17034624 17326548 18016704 19893444 20268792 20535168 20922624 22712832 23102064 24022272 26524592 27025056 27380224 27896832 29840166 30802752 32029696 34069248 34653096 36033408 39786888 40537584 41070336 41845248 44760249 45425664 46204128 48044544 53049184 54050112 54760448 59680332 61605504 68138496 69306192 72066816 79573776 81075168 82140672 83690496 89520498 92408256 96089088 106098368 108100224 119360664 123211008 134280747 136276992 138612384 144133632 159147552 162150336 164281344 179040996 184816512 212196736 216200448 238721328 246422016 268561494 277224768 288267264 318295104 324300672 358081992 369633024 424393472 432400896 477442656 492844032 537122988 554449536 636590208 648601344 716163984 739266048 848786944 864801792 954885312 1074245976 1108899072 1273180416 1297202688 1432327968 1478532096 1697573888 1909770624 2148491952 2217798144 2546360832 2594405376 2864655936 3819541248 4296983904 4435596288 5092721664 5729311872 7639082496 8593967808 11458623744 15278164992 17187935616 22917247488 34375871232 45834494976 68751742464 137503484928
- Sum of all divisors σ(n): 432283167360
- Sum of proper divisors (its aliquot sum) s(n): 294779682432
- 137503484928 is an abundant number, because the sum of its proper divisors (294779682432) is greater than itself. Its abundance is 157276197504
Bases of 137503484928
- Binary: 100000000000111101100010101100000000002
- Hexadecimal: 0x2003D8AC00
- Base-36: 1R620W00
Squares and roots of 137503484928
- 137503484928 squared (1375034849282) is 18907208367344723165184
- 137503484928 cubed (1375034849283) is 2599807040769740629124210598346752
-
The
square root of 137503484928 is 370814.6234009655 -
The
cube root of 137503484928 is 5161.4441820271
Scales and comparisons
How big is 137503484928?- 137,503,484,928 seconds is equal to 4,372 years, 9 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,503,484,928 would take you about eight thousand, seven hundred forty-four 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 137503484928 cubic inches would be around 430.1 feet tall.
Recreational maths with 137503484928
- 137503484928 backwards is 829484305731
- 137503484928 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137503484928's digits is 54
- More coming soon!
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