137528721408
137,528,721,408 is an even composite number composed of six prime numbers multiplied together.
137528721408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 137528721408:
214 × 3 × 13 × 31 × 53 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 53 × 131)See below for interesting mathematical facts about the number 137528721408 from the Numbermatics database.
Names of 137528721408
- Cardinal: 137528721408 can be written as One hundred thirty-seven billion, five hundred twenty-eight million, seven hundred twenty-one thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.37528721408 × 1011
Factors of 137528721408
Divisors of 137528721408
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 53 62 64 78 93 96 104 106 124 128 131 156 159 186 192 208 212 248 256 262 312 318 372 384 393 403 416 424 496 512 524 624 636 689 744 768 786 806 832 848 992 1024 1048 1209 1248 1272 1378 1488 1536 1572 1612 1643 1664 1696 1703 1984 2048 2067 2096 2418 2496 2544 2756 2976 3072 3144 3224 3286 3328 3392 3406 3968 4061 4096 4134 4192 4836 4929 4992 5088 5109 5512 5952 6144 6288 6448 6572 6656 6784 6812 6943 7936 8122 8192 8268 8384 9672 9858 9984 10176 10218 11024 11904 12183 12288 12576 12896 13144 13312 13568 13624 13886 15872 16244 16384 16536 16768 19344 19716 19968 20352 20436 20829 21359 22048 23808 24366 24576 25152 25792 26288 26624 27136 27248 27772 31744 32488 33072 33536 38688 39432 39936 40704 40872 41658 42718 44096 47616 48732 49152 50304 51584 52576 52793 53248 54272 54496 55544 63488 64077 64976 66144 67072 77376 78864 79872 81408 81744 83316 85436 88192 90259 95232 97464 100608 103168 105152 105586 106496 108544 108992 111088 126976 128154 129952 132288 134144 154752 157728 158379 159744 162816 163488 166632 170872 176384 180518 190464 194928 201216 206336 210304 211172 212992 215233 217088 217984 222176 253952 256308 259904 264576 268288 270777 309504 315456 316758 319488 325632 326976 333264 341744 352768 361036 380928 389856 402432 412672 420608 422344 430466 434176 435968 444352 507904 512616 519808 529152 536576 541554 619008 630912 633516 638976 645699 651264 653952 666528 683488 705536 722072 761856 779712 804864 825344 841216 844688 860932 868352 871936 888704 1025232 1039616 1058304 1073152 1083108 1238016 1261824 1267032 1291398 1302528 1307904 1333056 1366976 1411072 1444144 1523712 1559424 1609728 1650688 1682432 1689376 1721864 1743872 1777408 2050464 2079232 2116608 2146304 2166216 2476032 2523648 2534064 2582796 2605056 2615808 2666112 2733952 2798029 2822144 2888288 3118848 3219456 3301376 3364864 3378752 3443728 3487744 3554816 4100928 4158464 4233216 4332432 4952064 5047296 5068128 5165592 5231616 5332224 5467904 5596058 5644288 5776576 6237696 6438912 6602752 6729728 6757504 6887456 6975488 7109632 8201856 8316928 8394087 8466432 8664864 9904128 10094592 10136256 10331184 10463232 10664448 10935808 11192116 11288576 11553152 12475392 13459456 13515008 13774912 13950976 14219264 16403712 16633856 16788174 16932864 17329728 19808256 20189184 20272512 20662368 20926464 21328896 21871616 22384232 23106304 24950784 26918912 27030016 27549824 27901952 28438528 32807424 33267712 33576348 33865728 34659456 40378368 40545024 41324736 41852928 42657792 43743232 44768464 46212608 49901568 54060032 55099648 56877056 65614848 66535424 67152696 69318912 80756736 81090048 82649472 83705856 85315584 87486464 89536928 92425216 99803136 108120064 110199296 113754112 131229696 134305392 138637824 162180096 165298944 170631168 174972928 179073856 184850432 199606272 216240128 220398592 262459392 268610784 277275648 324360192 330597888 341262336 349945856 358147712 369700864 432480256 440797184 524918784 537221568 554551296 648720384 661195776 716295424 739401728 864960512 881594368 1049837568 1074443136 1109102592 1297440768 1322391552 1432590848 1478803456 1763188736 2148886272 2218205184 2594881536 2644783104 2865181696 3526377472 4297772544 4436410368 5289566208 5730363392 8595545088 10579132416 11460726784 17191090176 22921453568 34382180352 45842907136 68764360704 137528721408
- Sum of all divisors σ(n): 418545211392
- Sum of proper divisors (its aliquot sum) s(n): 281016489984
- 137528721408 is an abundant number, because the sum of its proper divisors (281016489984) is greater than itself. Its abundance is 143487768576
Bases of 137528721408
- Binary: 100000000001010101100111000000000000002
- Hexadecimal: 0x200559C000
- Base-36: 1R6H1SLC
Squares and roots of 137528721408
- 137528721408 squared (1375287214082) is 18914149212119277502464
- 137528721408 cubed (1375287214083) is 2601238757662894812902613489549312
-
The
square root of 137528721408 is 370848.6502712393 -
The
cube root of 137528721408 is 5161.7599284849
Scales and comparisons
How big is 137528721408?- 137,528,721,408 seconds is equal to 4,372 years, 51 weeks, 2 days, 14 hours, 36 minutes, 48 seconds.
-
To count from 1 to 137,528,721,408 would take you about eight thousand, seven hundred forty-five 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 137528721408 cubic inches would be around 430.1 feet tall.
Recreational maths with 137528721408
- 137528721408 backwards is 804127825731
- 137528721408 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137528721408's digits is 48
- More coming soon!
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