137181142728

Names of 137181142728

• Cardinal: 137181142728 can be written as One hundred thirty-seven billion, one hundred eighty-one million, one hundred forty-two thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37181142728 × 10¹¹

Factors of 137181142728

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2652

Divisors of 137181142728

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 29 34 36 42 51 54 56 58 63 68 72 73 84 87 102 108 116 119 126 136 146 153 168 174 189 203 204 216 219 232 238 252 261 292 306 348 357 378 406 408 438 459 476 493 504 511 522 584 609 612 657 696 714 756 783 812 876 918 952 986 1022 1044 1071 1218 1224 1241 1314 1428 1479 1512 1533 1566 1624 1752 1827 1836 1971 1972 2044 2088 2117 2142 2436 2482 2521 2628 2856 2958 3066 3132 3213 3451 3654 3672 3723 3942 3944 4088 4234 4284 4437 4599 4872 4964 5042 5256 5481 5916 6132 6264 6351 6426 6902 7308 7446 7563 7884 8468 8568 8687 8874 9198 9928 10084 10353 10962 11169 11832 12264 12702 12852 13311 13797 13804 14616 14819 14892 15126 15768 16936 17374 17647 17748 18396 19053 20168 20706 21924 22338 22689 25404 25704 26061 26622 27594 27608 29638 29784 30252 31059 33507 34748 35294 35496 35989 36792 38106 41412 42857 43848 44457 44676 45378 50808 52122 52941 53244 55188 57159 59276 60504 62118 67014 68067 69496 70588 71978 73109 76212 78183 82824 85714 88914 89352 90756 93177 104244 105882 106488 107967 110376 114318 118552 124236 128571 133371 134028 136134 141176 143956 146218 152424 156366 158823 171428 177828 181512 184033 186354 208488 211764 215934 219327 228636 234549 248472 251923 257142 266742 268056 272268 287912 292436 299999 312732 317646 323901 342856 355656 368066 372708 385713 400113 423528 431868 438654 457272 469098 476469 503846 511763 514284 533484 544536 552099 584872 599998 625464 635292 647802 657981 736132 745416 755769 771426 800226 863736 877308 899997 938196 952938 971703 1007692 1023526 1028568 1066968 1104198 1157139 1199996 1242853 1270584 1288231 1295604 1315962 1472264 1511538 1535289 1542852 1600452 1656297 1754616 1799994 1876392 1905876 1943406 1973943 2015384 2047052 2208396 2267307 2314278 2399992 2485706 2576462 2591208 2631924 2699991 3023076 3070578 3085704 3128561 3200904 3312594 3599988 3728559 3811752 3864693 3886812 3947886 4094104 4416792 4534614 4605867 4628556 4968891 4971412 5152924 5263848 5336957 5399982 6046152 6141156 6257122 6625188 6801921 7199976 7457118 7729386 7773624 7895772 8099973 8699971 9069228 9211734 9257112 9385683 9937782 9942824 10305848 10673914 10799964 11185677 11594079 12282312 12514244 13250376 13603842 13817601 14914236 15458772 15791544 16010871 16199946 17399942 18138456 18423468 18771366 19875564 21347828 21599928 21899927 22371354 23188158 25028488 26099913 27207684 27635202 28157049 29828472 30917544 32021742 32399892 33557031 34782237 34799884 36846936 37358699 37542732 39751128 42695656 43799854 44742708 46376316 48032613 52199826 54415368 55270404 56314098 64043484 64799784 65699781 67114062 69564474 69599768 74717398 75085464 78299739 84471147 87599708 89485416 90728269 92752632 96065226 104399652 110540808 112076097 112628196 128086968 131399562 134228124 139128948 144097839 149434796 156599478 168942294 175199416 181456538 192130452 197099343 208799304 224152194 225256392 234899217 262799124 268456248 272184807 278257896 288195678 298869592 313198956 336228291 337884588 362913076 384260904 394198686 448304388 469798434 525598248 544369614 576391356 591298029 626397912 635097883 672456582 675769176 725826152 788397372 816554421 896608776 939596868 1008684873 1088739228 1152782712 1182596058 1270195766 1344913164 1576794744 1633108842 1879193736 1905293649 2017369746 2177478456 2365192116 2449663263 2540391532 2689826328 3266217684 3810587298 4034739492 4730384232 4899326526 5080783064 5715880947 6532435368 7621174596 8069478984 9798653052 11431761894 15242349192 17147642841 19597306104 22863523788 34295285682 45727047576 68590571364 137181142728
• Sum of all divisors σ(n): 483739776000
• Sum of proper divisors (its aliquot sum) s(n): 346558633272
• 137181142728 is an abundant number, because the sum of its proper divisors (346558633272) is greater than itself. Its abundance is 209377490544

Bases of 137181142728

• Binary: 1111111110000101000100001111011001000₂
• Hexadecimal: 0x1FF0A21EC8
• Base-36: 1R0Q3Z60

Squares and roots of 137181142728

• 137181142728 squared (137181142728²) is 18818665920159907281984
• 137181142728 cubed (137181142728³) is 2581566095544005693433093647012352
• The square root of 137181142728 is 370379.7277497785
• The cube root of 137181142728 is 5157.4077920861

Scales and comparisons

• 137,181,142,728 seconds is equal to 4,361 years, 48 weeks, 4 days, 16 hours, 58 minutes, 48 seconds.
• To count from 1 to 137,181,142,728 would take you about eight thousand, seven hundred twenty-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 137181142728 cubic inches would be around 429.8 feet tall.

Recreational maths with 137181142728

• 137181142728 backwards is 827241181731
• The number of decimal digits it has is: 12
• The sum of 137181142728's digits is 45
• More coming soon!