137514809376

Names of 137514809376

• Cardinal: 137514809376 can be written as One hundred thirty-seven billion, five hundred fourteen million, eight hundred nine thousand, three hundred seventy-six.

Scientific notation

• Scientific notation: 1.37514809376 × 10¹¹

Factors of 137514809376

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 132

Divisors of 137514809376

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 47 48 54 56 63 72 73 81 84 94 96 108 112 126 141 144 146 162 168 188 189 216 219 224 252 282 288 292 324 329 336 376 378 423 432 438 504 511 564 567 584 648 657 658 672 752 756 846 864 876 987 1008 1022 1128 1134 1168 1269 1296 1314 1316 1504 1512 1533 1692 1752 1971 1974 2016 2044 2209 2256 2268 2336 2538 2592 2628 2632 2961 3024 3066 3384 3431 3504 3807 3942 3948 4088 4418 4512 4536 4599 5076 5256 5264 5913 5922 6048 6132 6627 6768 6862 7008 7614 7884 7896 8176 8836 8883 9072 9198 10152 10293 10512 10528 11826 11844 12264 13254 13536 13724 13797 15228 15463 15768 15792 16352 17672 17766 18144 18396 19881 20304 20586 21024 23652 23688 24017 24528 26508 26649 27448 27594 30456 30879 30926 31536 31584 35344 35532 36792 39762 40608 41172 41391 46389 47304 47376 48034 49056 53016 53298 54896 55188 59643 60912 61758 61852 63072 70688 71064 72051 73584 79524 82344 82782 92637 92778 94608 94752 96068 103823 106032 106596 109792 110376 119286 121824 123516 123704 139167 142128 144102 147168 159048 161257 164688 165564 178929 185274 185556 189216 192136 207646 212064 213192 216153 220752 238572 247032 247408 277911 278334 284256 288204 311469 318096 322514 329376 331128 357858 370548 371112 384272 415292 417501 426384 432306 441504 477144 483771 494064 494816 555822 556668 576408 622938 636192 645028 648459 662256 715716 726761 741096 742224 768544 830584 835002 852768 864612 934407 954288 967542 988128 1111644 1113336 1128799 1152816 1245876 1252503 1290056 1296918 1324512 1431432 1451313 1453522 1482192 1484448 1661168 1670004 1729224 1868814 1908576 1935084 1945377 2180283 2223288 2226672 2257598 2305632 2491752 2505006 2580112 2593836 2803221 2862864 2902626 2907044 2964384 3322336 3340008 3386397 3458448 3737628 3870168 3890754 4353939 4360566 4446576 4453344 4515196 4983504 5010012 5160224 5187672 5606442 5725728 5805252 5814088 6540849 6680016 6772794 6916896 7475256 7579079 7740336 7781508 8409663 8707878 8721132 8893152 9030392 9967008 10020024 10159191 10375344 11212884 11610504 11628176 13061817 13081698 13360032 13545588 14950512 15158158 15480672 15563016 16819326 17415756 17442264 18060784 19622547 20040048 20318382 20750688 22425768 22737237 23221008 23256352 26123634 26163396 27091176 29901024 30316316 30477573 31126032 33638652 34831512 34884528 36121568 39245094 40080096 40636764 44851536 45474474 46442016 52247268 52326792 53053553 54182352 58867641 60632632 60955146 62252064 67277304 68211711 69663024 69769056 78490188 81273528 89703072 90948948 91432719 104494536 104653584 106107106 108364704 117735282 121265264 121910292 134554608 136423422 139326048 156980376 159160659 162547056 181897896 182865438 204635133 208989072 209307168 212214212 235470564 242530528 243820584 269109216 272846844 313960752 318321318 325094112 363795792 365730876 409270266 417978144 424428424 470941128 477481977 487641168 545693688 613905399 627921504 636642636 727591584 731461752 818540532 848856848 941882256 954963954 975282336 1091387376 1227810798 1273285272 1432445931 1462923504 1637081064 1697713696 1883764512 1909927908 2182774752 2455621596 2546570544 2864891862 2925847008 3274162128 3819855816 4297337793 4911243192 5093141088 5729783724 6548324256 7639711632 8594675586 9822486384 11459567448 15279423264 17189351172 19644972768 22919134896 34378702344 45838269792 68757404688 137514809376
• Sum of all divisors σ(n): 478719521280
• Sum of proper divisors (its aliquot sum) s(n): 341204711904
• 137514809376 is an abundant number, because the sum of its proper divisors (341204711904) is greater than itself. Its abundance is 203689902528

Bases of 137514809376

• Binary: 10000000000100100001010111100000100000₂
• Hexadecimal: 0x2004857820
• Base-36: 1R68RM00

Squares and roots of 137514809376

• 137514809376 squared (137514809376²) is 18910322797717617509376
• 137514809376 cubed (137514809376³) is 2600449434766765179678720532709376
• The square root of 137514809376 is 370829.8927756499
• The cube root of 137514809376 is 5161.5858727433

Scales and comparisons

• 137,514,809,376 seconds is equal to 4,372 years, 28 weeks, 2 days, 14 hours, 9 minutes, 36 seconds.
• To count from 1 to 137,514,809,376 would take you about eight thousand, seven hundred forty-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 137514809376 cubic inches would be around 430.1 feet tall.

Recreational maths with 137514809376

• 137514809376 backwards is 673908415731
• 137514809376 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137514809376's digits is 54
• More coming soon!