137832201984

Names of 137832201984

• Cardinal: 137832201984 can be written as One hundred thirty-seven billion, eight hundred thirty-two million, two hundred one thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.37832201984 × 10¹¹

Factors of 137832201984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 833

Divisors of 137832201984

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 123 124 128 164 186 192 246 248 256 328 337 372 384 419 492 496 656 674 744 768 838 984 992 1011 1257 1271 1312 1348 1488 1676 1968 1984 2022 2514 2542 2624 2696 2976 3352 3813 3936 3968 4044 5028 5084 5248 5392 5952 6704 7626 7872 7936 8088 10056 10168 10447 10496 10784 11904 12989 13408 13817 15252 15744 16176 17179 20112 20336 20894 21568 23808 25978 26816 27634 30504 31341 31488 32352 34358 38967 40224 40672 41451 41788 43136 51537 51956 53632 55268 61008 62682 64704 68716 77934 80448 81344 82902 83576 86272 103074 103912 107264 110536 122016 125364 129408 137432 141203 155868 160896 162688 165804 167152 206148 207824 221072 244032 250728 258816 274864 282406 311736 321792 325376 331608 334304 412296 415648 423609 428327 442144 488064 501456 532549 549728 564812 623472 663216 668608 824592 831296 847218 856654 884288 976128 1002912 1065098 1099456 1129624 1246944 1284981 1326432 1337216 1597647 1649184 1662592 1694436 1713308 1768576 2005824 2130196 2198912 2259248 2493888 2569962 2652864 2674432 3195294 3298368 3325184 3388872 3426616 3537152 4011648 4260392 4377293 4397824 4518496 4987776 5139924 5305728 5789323 6390588 6596736 6777744 6853232 8023296 8520784 8754586 9036992 9975552 10279848 10611456 11578646 12781176 13131879 13193472 13555488 13706464 17041568 17367969 17509172 18073984 20559696 23157292 25562352 26263758 27110976 27412928 34083136 34735938 35018344 36147968 41119392 46314584 51124704 52527516 54221952 54825856 68166272 69471876 70036688 82238784 92629168 102249408 105055032 108443904 109651712 136332544 138943752 140073376 164477568 179469013 185258336 204498816 210110064 277887504 280146752 328955136 358938026 370516672 408997632 420220128 538407039 555775008 560293504 717876052 741033344 840440256 1076814078 1111550016 1120587008 1435752104 1482066688 1680880512 2153628156 2223100032 2871504208 3361761024 4307256312 4446200064 5743008416 8614512624 11486016832 17229025248 22972033664 34458050496 45944067328 68916100992 137832201984
• Sum of all divisors σ(n): 389983426560
• Sum of proper divisors (its aliquot sum) s(n): 252151224576
• 137832201984 is an abundant number, because the sum of its proper divisors (252151224576) is greater than itself. Its abundance is 114319022592

Bases of 137832201984

• Binary: 10000000010111011100000111111100000000₂
• Hexadecimal: 0x2017707F00
• Base-36: 1RBHQFPC

Squares and roots of 137832201984

• 137832201984 squared (137832201984²) is 18997715903758173536256
• 137832201984 cubed (137832201984³) is 2618497015681445679540160539131904
• The square root of 137832201984 is 371257.5951869537
• The cube root of 137832201984 is 5165.5539069969

Scales and comparisons

• 137,832,201,984 seconds is equal to 4,382 years, 33 weeks, 1 day, 2 hours, 46 minutes, 24 seconds.
• To count from 1 to 137,832,201,984 would take you about eight thousand, seven hundred sixty-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 137832201984 cubic inches would be around 430.5 feet tall.

Recreational maths with 137832201984

• 137832201984 backwards is 489102238731
• 137832201984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137832201984's digits is 48
• More coming soon!