137117131584

Names of 137117131584

• Cardinal: 137117131584 can be written as One hundred thirty-seven billion, one hundred seventeen million, one hundred thirty-one thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.37117131584 × 10¹¹

Factors of 137117131584

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1891

Divisors of 137117131584

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 134 152 192 201 228 268 304 401 402 456 536 608 802 804 912 1072 1203 1216 1273 1399 1604 1608 1824 2144 2406 2546 2798 3208 3216 3648 3819 4197 4288 4812 5092 5596 6416 6432 7619 7638 8394 9624 10184 11192 12832 12864 15238 15276 16788 19248 20368 22384 22857 25664 26581 26867 30476 30552 33576 38496 40736 44768 45714 53162 53734 60952 61104 67152 76992 79743 80601 81472 89536 91428 93733 106324 107468 121904 122208 134304 159486 161202 182856 187466 212648 214936 243808 244416 268608 281199 318972 322404 365712 374932 425296 429872 487616 510473 560999 562398 637944 644808 731424 749864 850592 859744 1020946 1121998 1124796 1275888 1289616 1462848 1499728 1531419 1682997 1701184 1719488 1780927 2041892 2243996 2249592 2551776 2579232 2999456 3062838 3365994 3561854 4083784 4487992 4499184 5103552 5158464 5342781 5998912 6125676 6731988 7123708 8167568 8975984 8998368 10658981 10685562 12251352 13463976 14247416 16335136 17951968 17996736 21317962 21371124 24502704 26927952 28494832 31976943 32670272 35903936 37586933 42635924 42742248 49005408 53855904 56989664 63953886 75173866 85271848 85484496 98010816 107711808 112760799 113979328 127907772 150347732 170543696 170968992 225521598 255815544 300695464 341087392 341937984 451043196 511631088 601390928 682174784 714151727 902086392 1023262176 1202781856 1428303454 1804172784 2046524352 2142455181 2405563712 2856606908 3608345568 4284910362 5713213816 7216691136 8569820724 11426427632 17139641448 22852855264 34279282896 45705710528 68558565792 137117131584
• Sum of all divisors σ(n): 388827264000
• Sum of proper divisors (its aliquot sum) s(n): 251710132416
• 137117131584 is an abundant number, because the sum of its proper divisors (251710132416) is greater than itself. Its abundance is 114593000832

Bases of 137117131584

• Binary: 1111111101100110100010110001101000000₂
• Hexadecimal: 0x1FECD16340
• Base-36: 1QZNZZUO

Squares and roots of 137117131584

• 137117131584 squared (137117131584²) is 18801107773823970349056
• 137117131584 cubed (137117131584³) is 2577953968548386653204825962184704
• The square root of 137117131584 is 370293.3048057985
• The cube root of 137117131584 is 5156.6054880961

Scales and comparisons

• 137,117,131,584 seconds is equal to 4,359 years, 46 weeks, 5 days, 20 hours, 6 minutes, 24 seconds.
• To count from 1 to 137,117,131,584 would take you about eight thousand, seven hundred nineteen 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 137117131584 cubic inches would be around 429.7 feet tall.

Recreational maths with 137117131584

• 137117131584 backwards is 485131711731
• The number of decimal digits it has is: 12
• The sum of 137117131584's digits is 42
• More coming soon!