137346007968

Names of 137346007968

• Cardinal: 137346007968 can be written as One hundred thirty-seven billion, three hundred forty-six million, seven thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37346007968 × 10¹¹

Factors of 137346007968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1560

Divisors of 137346007968

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 169 208 216 234 241 288 312 324 338 351 416 432 468 482 507 624 648 676 702 723 864 936 964 1014 1053 1248 1296 1301 1352 1404 1446 1521 1872 1928 2028 2106 2169 2592 2602 2704 2808 2892 3042 3133 3744 3856 3903 4056 4212 4338 4563 5204 5408 5616 5784 6084 6266 6507 7712 7806 8112 8424 8676 9126 9399 10408 11232 11568 11709 12168 12532 13014 13689 15612 16224 16848 16913 17352 18252 18798 19521 20816 23136 23418 24336 25064 26028 27378 28197 31224 33696 33826 34704 35127 36504 37596 39042 40729 41632 46836 48672 50128 50739 52056 54756 56394 62448 67652 69408 70254 73008 75192 78084 81458 84591 93672 100256 101478 104112 105381 109512 112788 122187 124896 135304 140508 146016 150384 152217 156168 162916 169182 187344 202956 208224 210762 219024 219869 225576 244374 253773 270608 281016 300768 304434 312336 313541 325832 338364 366561 374688 405912 421524 438048 439738 451152 456651 488748 507546 541216 562032 608868 624672 627082 651664 659607 676728 733122 811824 843048 879476 902304 913302 940623 977496 1015092 1099683 1124064 1217736 1254164 1303328 1319214 1353456 1369953 1466244 1623648 1686096 1758952 1826604 1881246 1954992 1978821 2030184 2199366 2435472 2508328 2638428 2706912 2739906 2821869 2932488 3299049 3372192 3517904 3653208 3762492 3909984 3957642 4060368 4076033 4398732 4870944 5016656 5276856 5479812 5643738 5864976 5936463 6598098 7035808 7306416 7524984 7915284 8120736 8152066 8465607 8797464 10033312 10553712 10959624 11287476 11729952 11872926 12228099 13196196 14612832 15049968 15830568 16304132 16931214 17594928 17809389 21107424 21919248 22574952 23745852 24456198 25396821 26392392 30099936 31661136 32608264 33862428 35189856 35618778 36684297 43838496 45149904 47491704 48912396 50793642 52784784 52988429 63322272 65216528 67724856 71237556 73368594 90299808 94983408 97824792 101587284 105569568 105976858 110052891 130433056 135449712 142475112 146737188 158965287 189966816 195649584 203174568 211953716 220105782 270899424 284950224 293474376 317930574 330158673 391299168 406349136 423907432 440211564 476895861 569900448 586948752 635861148 660317346 812698272 847814864 880423128 953791722 1173897504 1271722296 1320634692 1430687583 1695629728 1760846256 1907583444 2543444592 2641269384 2861375166 3521692512 3815166888 4292062749 5086889184 5282538768 5722750332 7630333776 8584125498 10565077536 11445500664 15260667552 17168250996 22891001328 34336501992 45782002656 68673003984 137346007968
• Sum of all divisors σ(n): 439545015756
• Sum of proper divisors (its aliquot sum) s(n): 302199007788
• 137346007968 is an abundant number, because the sum of its proper divisors (302199007788) is greater than itself. Its abundance is 164852999820

Bases of 137346007968

• Binary: 1111111111010011101011100001110100000₂
• Hexadecimal: 0x1FFA75C3A0
• Base-36: 1R3G9M00

Squares and roots of 137346007968

• 137346007968 squared (137346007968²) is 18863925904745919489024
• 137346007968 cubed (137346007968³) is 2590884917620994667154976792543232
• The square root of 137346007968 is 370602.2233716361
• The cube root of 137346007968 is 5159.4730343413

Scales and comparisons

• 137,346,007,968 seconds is equal to 4,367 years, 9 weeks, 1 day, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 137,346,007,968 would take you about eight thousand, seven hundred thirty-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 137346007968 cubic inches would be around 430 feet tall.

Recreational maths with 137346007968

• 137346007968 backwards is 869700643731
• 137346007968 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137346007968's digits is 54
• More coming soon!