137835072960

Names of 137835072960

• Cardinal: 137835072960 can be written as One hundred thirty-seven billion, eight hundred thirty-five million, seventy-two thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.3783507296 × 10¹¹

Factors of 137835072960

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 962

Divisors of 137835072960

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 61 64 65 78 80 96 104 120 122 130 156 160 183 192 195 208 240 244 260 305 312 320 331 366 390 416 480 488 520 547 610 624 662 732 780 793 832 915 960 976 993 1040 1094 1220 1248 1324 1464 1560 1586 1641 1655 1830 1952 1986 2080 2188 2379 2440 2496 2648 2735 2928 3120 3172 3282 3310 3660 3904 3965 3972 4160 4303 4376 4758 4880 4965 5296 5470 5856 6240 6344 6564 6620 7111 7320 7930 7944 8205 8606 8752 9516 9760 9930 10592 10940 11712 11895 12480 12688 12909 13128 13240 14222 14640 15860 15888 16410 17212 17504 19032 19520 19860 20191 21184 21333 21515 21880 23790 25376 25818 26256 26480 28444 29280 31720 31776 32820 33367 34424 35008 35555 38064 39720 40382 42666 43030 43760 47580 50752 51636 52512 52960 56888 58560 60573 63440 63552 64545 65640 66734 68848 71110 76128 79440 80764 85332 86060 87520 95160 100101 100955 103272 105024 105920 106665 113776 121146 126880 129090 131280 133468 137696 142220 152256 158880 161528 166835 170664 172120 175040 181057 190320 200202 201910 206544 213330 227552 242292 253760 258180 262483 262560 266936 275392 284440 302865 317760 323056 333670 341328 344240 362114 380640 400404 403820 413088 426660 433771 455104 484584 500505 516360 524966 525120 533872 543171 568880 605730 646112 667340 682656 688480 724228 761280 787449 800808 807640 826176 853320 867542 905285 969168 1001010 1032720 1049932 1067744 1086342 1137760 1211460 1292224 1301313 1312415 1334680 1365312 1376960 1448456 1574898 1601616 1615280 1706640 1735084 1810570 1938336 2002020 2065440 2099864 2135488 2168855 2172684 2275520 2353741 2422920 2602626 2624830 2669360 2715855 2896912 3149796 3203232 3230560 3413280 3470168 3621140 3876672 3937245 4004040 4130880 4199728 4337710 4345368 4707482 4845840 5205252 5249660 5338720 5431710 5793824 6299592 6406464 6461120 6506565 6826560 6940336 7061223 7242280 7874490 8008080 8399456 8675420 8690736 9414964 9691680 10410504 10499320 10677440 10863420 11044477 11587648 11768705 12599184 13013130 13880672 14122446 14484560 15748980 16016160 16798912 17350840 17381472 18829928 19383360 20821008 20998640 21726840 22088954 23537410 25198368 26026260 27761344 28244892 28969120 31497960 32032320 33133431 34701680 34762944 35306115 37659856 41642016 41997280 43453680 44177908 47074820 50396736 52052520 55222385 56489784 57938240 62995920 66266862 69403360 70612230 75319712 83284032 83994560 86907360 88355816 94149640 104105040 110444770 112979568 125991840 132533724 138806720 141224460 143578201 150639424 165667155 173814720 176711632 188299280 208210080 220889540 225959136 251983680 265067448 282448920 287156402 331334310 353423264 376598560 416420160 430734603 441779080 451918272 530134896 564897840 574312804 662668620 706846528 717891005 753197120 861469206 883558160 1060269792 1129795680 1148625608 1325337240 1435782010 1722938412 1767116320 2120539584 2153673015 2259591360 2297251216 2650674480 2871564020 3445876824 3534232640 4307346030 4594502432 5301348960 5743128040 6891753648 8614692060 9189004864 10602697920 11486256080 13783507296 17229384120 22972512160 27567014592 34458768240 45945024320 68917536480 137835072960
• Sum of all divisors σ(n): 481341525504
• Sum of proper divisors (its aliquot sum) s(n): 343506452544
• 137835072960 is an abundant number, because the sum of its proper divisors (343506452544) is greater than itself. Its abundance is 205671379584

Bases of 137835072960

• Binary: 10000000010111100111000100110111000000₂
• Hexadecimal: 0x20179C4DC0
• Base-36: 1RBJFYYO

Squares and roots of 137835072960

• 137835072960 squared (137835072960²) is 18998507337888523161600
• 137835072960 cubed (137835072960³) is 2618660645048959962325785870336000
• The square root of 137835072960 is 371261.4617220593
• The cube root of 137835072960 is 5165.5897720515

Scales and comparisons

• 137,835,072,960 seconds is equal to 4,382 years, 37 weeks, 6 days, 8 hours, 16 minutes.
• To count from 1 to 137,835,072,960 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 137835072960 cubic inches would be around 430.5 feet tall.

Recreational maths with 137835072960

• 137835072960 backwards is 069270538731
• The number of decimal digits it has is: 12
• The sum of 137835072960's digits is 51
• More coming soon!