137967553870848

Names of 137967553870848

• Cardinal: 137967553870848 can be written as One hundred thirty-seven trillion, nine hundred sixty-seven billion, five hundred fifty-three million, eight hundred seventy thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.37967553870848 × 10¹⁴

Factors of 137967553870848

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 22662

Divisors of 137967553870848

• Number of divisors d(n): 440
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 256 288 312 324 351 384 416 432 468 512 576 624 648 702 768 832 864 936 1024 1053 1152 1248 1296 1404 1536 1664 1728 1872 2106 2304 2496 2592 2808 3072 3328 3456 3744 4212 4608 4992 5184 5616 6656 6912 7488 8424 9216 9984 10368 10837 11232 11807 13312 13824 14976 16848 19968 20736 21674 22464 23614 27648 29952 32511 33696 35421 39936 41472 43348 44928 47228 59904 65022 67392 70842 82944 86696 89856 94456 97533 106263 119808 130044 134784 140881 141684 153491 173392 179712 188912 195066 212526 260088 269568 281762 283368 292599 306982 318789 346784 359424 377824 390132 422643 425052 460473 520176 539136 563524 566736 585198 613964 637578 693568 755648 780264 845286 850104 877797 920946 956367 1040352 1078272 1127048 1133472 1170396 1227928 1267929 1275156 1381419 1387136 1511296 1560528 1690572 1700208 1755594 1841892 1912734 2080704 2254096 2266944 2340792 2455856 2535858 2550312 2762838 2774272 3022592 3121056 3381144 3400416 3511188 3683784 3803787 3825468 4144257 4161408 4508192 4533888 4681584 4911712 5071716 5100624 5525676 5548544 6045184 6242112 6762288 6800832 7022376 7367568 7607574 7650936 8288514 8322816 9016384 9067776 9363168 9823424 10143432 10201248 11051352 11097088 11411361 12090368 12432771 12484224 13524576 13601664 14044752 14735136 15215148 15301872 16577028 16645632 18032768 18135552 18726336 19646848 20286864 20402496 22102704 22822722 24865542 24968448 27049152 27203328 28089504 29470272 30430296 30603744 33154056 33291264 36065536 36271104 37452672 39293696 40573728 40804992 44205408 45645444 49731084 49936896 54098304 54406656 56179008 58940544 60860592 61207488 66308112 72131072 74905344 78587392 81147456 81609984 88410816 91290888 99462168 99873792 108196608 108813312 112358016 117881088 121721184 122414976 127952459 132616224 144262144 149810688 157174784 162294912 163219968 176821632 182581776 198924336 216393216 224716032 235762176 243442368 244829952 255904918 265232448 299621376 324589824 326439936 353643264 365163552 383857377 397848672 432786432 449432064 471524352 486884736 489659904 511809836 530464896 649179648 707286528 730327104 767714754 795697344 898864128 973769472 979319808 1023619672 1060929792 1151572131 1298359296 1414573056 1460654208 1535429508 1591394688 1663381967 1947538944 2047239344 2121859584 2303144262 2921308416 3070859016 3182789376 3326763934 3454716393 3895077888 4094478688 4243719168 4606288524 4990145901 5842616832 6141718032 6365578752 6653527868 6909432786 8188957376 9212577048 9980291802 10364149179 11685233664 12283436064 12731157504 13307055736 13818865572 14970437703 16377914752 18425154096 19960583604 20728298358 24566872128 26614111472 27637731144 29940875406 32755829504 36850308192 39921167208 41456596716 44911313109 49133744256 53228222944 55275462288 59881750812 65511659008 73700616384 79842334416 82913193432 89822626218 98267488512 106456445888 110550924576 119763501624 131023318016 134733939327 147401232768 159684668832 165826386864 179645252436 196534977024 212912891776 221101849152 239527003248 269467878654 294802465536 319369337664 331652773728 359290504872 393069954048 425825783552 442203698304 479054006496 538935757308 589604931072 638738675328 663305547456 718581009744 851651567104 884407396608 958108012992 1077871514616 1179209862144 1277477350656 1326611094912 1437162019488 1703303134208 1768814793216 1916216025984 2155743029232 2554954701312 2653222189824 2874324038976 3537629586432 3832432051968 4311486058464 5109909402624 5306444379648 5748648077952 7664864103936 8622972116928 10612888759296 11497296155904 15329728207872 17245944233856 22994592311808 34491888467712 45989184623616 68983776935424 137967553870848
• Sum of all divisors σ(n): 443768774182272
• Sum of proper divisors (its aliquot sum) s(n): 305801220311424
• 137967553870848 is an abundant number, because the sum of its proper divisors (305801220311424) is greater than itself. Its abundance is 167833666440576

Bases of 137967553870848

• Binary: 11111010111101100010011000010011111110000000000₂
• Hexadecimal: 0x7D7B1309FC00
• Base-36: 1CWLF3CW00

Squares and roots of 137967553870848

• 137967553870848 squared (137967553870848²) is 19035045921105344948264239104
• 137967553870848 cubed (137967553870848³) is 2626218723554167168035676104091808607240192
• The square root of 137967553870848 is 11745959.0443202211
• The cube root of 137967553870848 is 51672.4422009921

Scales and comparisons

• 137,967,553,870,848 seconds is equal to 4,386,941 years, 23 weeks, 3 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 137,967,553,870,848 would take you about ten million, nine hundred sixty-seven thousand, three hundred fifty-three 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 137967553870848 cubic inches would be around 4306 feet tall.

Recreational maths with 137967553870848

• 137967553870848 backwards is 848078355769731
• 137967553870848 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137967553870848's digits is 81
• More coming soon!