137505230016

Names of 137505230016

• Cardinal: 137505230016 can be written as One hundred thirty-seven billion, five hundred five million, two hundred thirty thousand and sixteen.

Scientific notation

• Scientific notation: 1.37505230016 × 10¹¹

Factors of 137505230016

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 35971

Divisors of 137505230016

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 37 42 44 48 49 56 64 66 74 77 84 88 96 98 111 112 132 147 148 154 168 176 192 196 222 224 231 259 264 294 296 308 336 352 392 407 444 448 462 518 528 539 588 592 616 672 704 777 784 814 888 924 1036 1056 1078 1176 1184 1221 1232 1344 1554 1568 1617 1628 1776 1813 1848 2072 2112 2156 2352 2368 2442 2464 2849 3108 3136 3234 3256 3552 3626 3696 4144 4312 4704 4884 4928 5439 5698 6216 6468 6512 7104 7252 7392 8288 8547 8624 9408 9768 10878 11396 12432 12936 13024 14504 14784 16576 17094 17248 19536 19943 21756 22792 24864 25872 26048 29008 34188 34496 35911 39072 39886 43512 45584 49728 51744 58016 59829 68376 71822 78144 79772 87024 91168 103488 107733 116032 119658 136752 143644 159544 174048 182336 215466 239316 251377 273504 287288 319088 348096 395021 430932 478632 502754 547008 574576 638176 754131 790042 861864 957264 1005508 1149152 1185063 1276352 1328707 1508262 1580084 1723728 1759639 1914528 2011016 2298304 2370126 2657414 2765147 3016524 3160168 3447456 3519278 3829056 3986121 4022032 4740252 5278917 5314828 5530294 6033048 6320336 6894912 7038556 7972242 8044064 8295441 9300949 9480504 10557834 10629656 11060588 12066096 12640672 14077112 14615777 15944484 16088128 16590882 18601898 18961008 19356029 21115668 21259312 22121176 24132192 25281344 27902847 28154224 29231554 31888968 33181764 37203796 37922016 38712058 42231336 42518624 43847331 44242352 48264384 55805694 56308448 58068087 58463108 63777936 65106643 66363528 74407592 75844032 77424116 84462672 85037248 87694662 88484704 102310439 111611388 112616896 116136174 116926216 127555872 130213286 132727056 148815184 154848232 168925344 175389324 176969408 195319929 204620878 223222776 232272348 233852432 255111744 260426572 265454112 297630368 306931317 309696464 337850688 350778648 390639858 409241756 446445552 464544696 467704864 520853144 530908224 595260736 613862634 619392928 701557296 716173073 781279716 818483512 892891104 929089392 935409728 1041706288 1227725268 1238785856 1403114592 1432346146 1562559432 1636967024 1785782208 1858178784 2083412576 2148519219 2455450536 2806229184 2864692292 3125118864 3273934048 3716357568 4166825152 4297038438 4910901072 5729384584 6250237728 6547868096 8594076876 9821802144 11458769168 12500475456 17188153752 19643604288 22917538336 34376307504 45835076672 68752615008 137505230016
• Sum of all divisors σ(n): 474179749632
• Sum of proper divisors (its aliquot sum) s(n): 336674519616
• 137505230016 is an abundant number, because the sum of its proper divisors (336674519616) is greater than itself. Its abundance is 199169289600

Bases of 137505230016

• Binary: 10000000000011111100110100110011000000₂
• Hexadecimal: 0x2003F34CC0
• Base-36: 1R632AIO

Squares and roots of 137505230016

• 137505230016 squared (137505230016²) is 18907688281753067360256
• 137505230016 cubed (137505230016³) is 2599906026253283343085543216644096
• The square root of 137505230016 is 370816.9764398605
• The cube root of 137505230016 is 5161.4660169553

Scales and comparisons

• 137,505,230,016 seconds is equal to 4,372 years, 12 weeks, 3 days, 17 hours, 13 minutes, 36 seconds.
• To count from 1 to 137,505,230,016 would take you about eight thousand, seven hundred forty-four 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 137505230016 cubic inches would be around 430.1 feet tall.

Recreational maths with 137505230016

• 137505230016 backwards is 610032505731
• 137505230016 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137505230016's digits is 33
• More coming soon!