137048509136
137,048,509,136 is an even composite number composed of seven prime numbers multiplied together.
137048509136 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 137048509136:
24 × 7 × 11 × 17 × 23 × 293 × 971
(2 × 2 × 2 × 2 × 7 × 11 × 17 × 23 × 293 × 971)See below for interesting mathematical facts about the number 137048509136 from the Numbermatics database.
Names of 137048509136
- Cardinal: 137048509136 can be written as One hundred thirty-seven billion, forty-eight million, five hundred nine thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37048509136 × 1011
Factors of 137048509136
Divisors of 137048509136
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 23 28 34 44 46 56 68 77 88 92 112 119 136 154 161 176 184 187 238 253 272 293 308 322 368 374 391 476 506 586 616 644 748 782 952 971 1012 1172 1232 1288 1309 1496 1564 1771 1904 1942 2024 2051 2344 2576 2618 2737 2992 3128 3223 3542 3884 4048 4102 4301 4688 4981 5236 5474 6256 6446 6739 6797 7084 7768 8204 8602 9962 10472 10681 10948 12892 13478 13594 14168 15536 16408 16507 17204 19924 20944 21362 21896 22333 22561 25784 26956 27188 28336 30107 32816 33014 34408 34867 39848 42724 43792 44666 45122 47173 51568 53912 54376 54791 60214 66028 68816 69734 74129 74767 79696 85448 89332 90244 94346 107824 108752 109582 114563 115549 120428 132056 139468 148258 149534 156331 170896 178664 180488 181577 188692 219164 229126 231098 240856 245663 264112 278936 284503 296516 299068 312662 357328 360976 363154 377384 379661 383537 438328 458252 462196 481712 491326 518903 557872 569006 593032 598136 625324 726308 754768 759322 767074 801941 876656 916504 924392 982652 1037806 1138012 1186064 1196272 1250648 1260193 1271039 1452616 1518644 1534148 1603882 1719641 1833008 1848784 1965304 1991521 2075612 2276024 2501296 2520386 2542078 2657627 2905232 3037288 3068296 3129533 3207764 3439282 3930608 3983042 4151224 4176271 4552048 4836551 5040772 5084156 5315254 6074576 6136592 6259066 6415528 6543569 6878564 7966084 8302448 8352542 8821351 9673102 10081544 10168312 10630508 12518132 12831056 13087138 13757128 15932168 16705084 17642702 19346204 20163088 20336624 21261016 21906731 25036264 26174276 27514256 29233897 31864336 33410168 33855857 35285404 38692408 42522032 43813462 45804983 50072528 52348552 53202061 58467794 66820336 67711714 70570808 71979259 77384816 87626924 91609966 104697104 106404122 111240673 116935588 135423428 141141616 143958518 175253848 183219932 212808244 222481346 233871176 270846856 287917036 350507696 366439864 372414427 425616488 444962692 467742352 503854813 541693712 575834072 732879728 744828854 778684711 851232976 889925384 1007709626 1151668144 1223647403 1489657708 1557369422 1779850768 2015419252 2447294806 2979315416 3114738844 4030838504 4894589612 5958630832 6229477688 8061677008 8565531821 9789179224 12458955376 17131063642 19578358448 34262127284 68524254568 137048509136
- Sum of all divisors σ(n): 367392485376
- Sum of proper divisors (its aliquot sum) s(n): 230343976240
- 137048509136 is an abundant number, because the sum of its proper divisors (230343976240) is greater than itself. Its abundance is 93295467104
Bases of 137048509136
- Binary: 11111111010001011101001001010110100002
- Hexadecimal: 0x1FE8BA4AD0
- Base-36: 1QYJ56FK
Squares and roots of 137048509136
- 137048509136 squared (1370485091362) is 18782293856400275466496
- 137048509136 cubed (1370485091363) is 2574085371173909824342993717907456
-
The
square root of 137048509136 is 370200.6336245253 -
The
cube root of 137048509136 is 5155.7451094895
Scales and comparisons
How big is 137048509136?- 137,048,509,136 seconds is equal to 4,357 years, 37 weeks, 2 days, 14 hours, 18 minutes, 56 seconds.
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To count from 1 to 137,048,509,136 would take you about eight thousand, seven hundred fifteen 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 137048509136 cubic inches would be around 429.6 feet tall.
Recreational maths with 137048509136
- 137048509136 backwards is 631905840731
- The number of decimal digits it has is: 12
- The sum of 137048509136's digits is 47
- More coming soon!
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