137982420410736

Names of 137982420410736

• Cardinal: 137982420410736 can be written as One hundred thirty-seven trillion, nine hundred eighty-two billion, four hundred twenty million, four hundred ten thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 1.37982420410736 × 10¹⁴

Factors of 137982420410736

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 63534

Divisors of 137982420410736

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 67 69 88 92 132 134 138 176 184 201 253 264 268 276 368 402 506 528 536 552 737 759 804 1012 1072 1104 1474 1518 1541 1608 2024 2211 2797 2948 3036 3082 3216 4048 4422 4623 5594 5896 6072 6164 8391 8844 9246 11188 11792 12144 12328 16782 16951 17688 18492 22376 24656 30767 33564 33902 35376 36984 44752 50853 60631 61534 64331 67128 67804 73968 92301 101706 121262 123068 128662 134256 135608 181893 184602 187399 192993 203412 242524 246136 257324 271216 363786 369204 374798 385986 406824 485048 492272 514648 562197 666941 707641 727572 738408 749596 771972 813648 970096 1029296 1124394 1333882 1394513 1415282 1455144 1476816 1499192 1543944 2000823 2061389 2122923 2248788 2667764 2789026 2830564 2910288 2998384 3087888 4001646 4062277 4122778 4183539 4245846 4310177 4497576 5335528 5578052 5661128 6184167 8003292 8124554 8245556 8367078 8491692 8620354 8995152 10671056 11156104 11322256 12186831 12368334 12930531 15339643 16006584 16249108 16491112 16734156 16983384 17240708 22312208 24373662 24736668 25861062 30679286 32013168 32498216 32982224 33468312 33966768 34481416 44685047 46018929 47411947 48747324 49473336 51722124 61358572 64996432 66936624 68962832 89370094 92037858 93432371 94823894 97494648 98946672 103444248 122717144 134055141 142235841 169584907 178740188 184075716 186864742 189647788 194989296 206888496 245434288 268110282 280297113 284471682 339169814 357480376 368151432 373729484 379295576 508754721 536220564 560594226 568943364 678339628 714960752 736302864 747458968 758591152 1017509442 1027756081 1072441128 1121188452 1137886728 1356679256 1494917936 1865433977 2035018884 2055512162 2144882256 2242376904 2275773456 2713358512 3083268243 3730867954 3900452861 4070037768 4111024324 4484753808 5596301931 6166536486 7461735908 7800905722 8140075536 8222048648 11192603862 11362188769 11701358583 12333072972 14923471816 15601811444 16444097296 22385207724 22724377538 23402717166 24666145944 29846943632 31203622888 34086566307 42904981471 44770415448 45448755076 46805434332 49332291888 62407245776 68173132614 85809962942 89540830896 90897510152 93610868664 124984076459 128714944413 136346265228 171619925884 181795020304 187221737328 249968152918 257429888826 261330341687 272692530456 343239851768 374952229377 499936305836 514859777652 522660683374 545385060912 686479703536 749904458754 783991025061 999872611672 1029719555304 1045321366748 1499808917508 1567982050122 1999745223344 2059439110608 2090642733496 2874633758557 2999617835016 3135964100244 4181285466992 5749267517114 5999235670032 6271928200488 8623901275671 11498535034228 12543856400976 17247802551342 22997070068456 34495605102684 45994140136912 68991210205368 137982420410736
• Sum of all divisors σ(n): 411976733515776
• Sum of proper divisors (its aliquot sum) s(n): 273994313105040
• 137982420410736 is an abundant number, because the sum of its proper divisors (273994313105040) is greater than itself. Its abundance is 136011892694304

Bases of 137982420410736

• Binary: 11111010111111010001001001001110110000101110000₂
• Hexadecimal: 0x7D7E89276170
• Base-36: 1CWS8YIFLC

Squares and roots of 137982420410736

• 137982420410736 squared (137982420410736²) is 19039148342405094690944061696
• 137982420410736 cubed (137982420410736³) is 2627067770844107219351712690422984444768256
• The square root of 137982420410736 is 11746591.8636315955
• The cube root of 137982420410736 is 51674.2981031259

Scales and comparisons

• 137,982,420,410,736 seconds is equal to 4,387,414 years, 8 weeks, 2 days, 18 hours, 5 minutes, 36 seconds.
• To count from 1 to 137,982,420,410,736 would take you about ten million, nine hundred sixty-eight thousand, five hundred thirty-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 137982420410736 cubic inches would be around 4306.2 feet tall.

Recreational maths with 137982420410736

• 137982420410736 backwards is 637014024289731
• The number of decimal digits it has is: 15
• The sum of 137982420410736's digits is 57
• More coming soon!