137988435816

Names of 137988435816

• Cardinal: 137988435816 can be written as One hundred thirty-seven billion, nine hundred eighty-eight million, four hundred thirty-five thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.37988435816 × 10¹¹

Factors of 137988435816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 3635

Divisors of 137988435816

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 71 72 77 81 84 88 99 108 121 126 132 142 154 162 168 189 198 213 216 231 242 252 264 284 297 308 324 363 378 396 426 462 484 497 504 567 568 594 616 639 648 693 726 756 781 792 847 852 891 924 968 994 1089 1134 1188 1278 1386 1452 1491 1512 1562 1694 1704 1782 1848 1917 1988 2079 2178 2268 2343 2376 2541 2556 2772 2904 2982 3124 3267 3388 3541 3564 3834 3976 4158 4356 4473 4536 4686 5082 5112 5467 5544 5751 5964 6237 6248 6534 6776 7029 7082 7128 7623 7668 8316 8591 8712 8946 9372 9801 10164 10623 10934 11502 11928 12474 13068 13419 14058 14164 15246 15336 16401 16632 17182 17892 18744 19602 20328 21087 21246 21868 22869 23004 24787 24948 25773 26136 26838 28116 28328 30492 31869 32802 34364 35784 38951 39204 40257 42174 42492 43736 45738 46008 49203 49574 49896 51546 53676 56232 60137 60984 63261 63738 65604 68607 68728 74361 77319 77902 78408 80514 84348 84984 91476 95607 98406 99148 103092 107352 116853 120274 126522 127476 131208 137214 147609 148722 154638 155804 161028 168696 180411 182952 191214 196812 198296 206184 223083 231957 233706 240548 251411 253044 254952 272657 274428 286821 295218 297444 309276 311608 322056 350559 360822 382428 393624 428461 442827 446166 463914 467412 481096 502822 506088 541233 545314 548856 573642 590436 594888 618552 669249 695871 701118 721644 754233 764856 817971 856922 885654 892332 927828 934824 1005644 1051677 1082466 1090628 1147284 1180872 1285383 1338498 1391742 1402236 1443288 1508466 1623699 1635942 1713844 1759877 1771308 1784664 1855656 2007747 2011288 2103354 2164932 2181256 2262699 2294568 2453913 2570766 2676996 2765521 2783484 2804472 2999227 3016932 3155031 3247398 3271884 3427688 3519754 3542616 3856149 4015494 4206708 4329864 4525398 4871097 4907826 5141532 5279631 5353992 5531042 5566968 5998454 6033864 6310062 6494796 6543768 6788097 7039508 7361739 7712298 8030988 8296563 8413416 8997681 9050796 9742194 9815652 10283064 10559262 11062084 11568447 11996908 12620124 12989592 13576194 14079016 14723478 15424596 15838893 16061976 16593126 17995362 18101592 19358647 19484388 19631304 20364291 21118524 22085217 22124168 23136894 23993816 24889689 25240248 26993043 27152388 29446956 30420731 30849192 31677786 33186252 34705341 35990724 38717294 38968776 40728582 42237048 44170434 46273788 47516679 49779378 53986086 54304776 58075941 58893912 60841462 63355572 66372504 69410682 71981448 74669067 77434588 80979129 81457164 88340868 91262193 92547576 95033358 99558756 107972172 116151882 121682924 126711144 138821364 142550037 149338134 154869176 161958258 162914328 174227823 176681736 182524386 190066716 199117512 212945117 215944344 224007201 232303764 242937387 243365848 273786579 277642728 285100074 298676268 323916516 348455646 365048772 380133432 425890234 448014402 464607528 485874774 522683469 547573158 570200148 597352536 638835351 647833032 696911292 730097544 821359737 851780468 896028804 971749548 1045366938 1095146316 1140400296 1277670702 1393822584 1568050407 1642719474 1703560936 1792057608 1916506053 1943499096 2090733876 2190292632 2464079211 2555341404 3136100814 3285438948 3833012106 4181467752 4928158422 5110682808 5749518159 6272201628 6570877896 7666024212 9856316844 11499036318 12544403256 15332048424 17248554477 19712633688 22998072636 34497108954 45996145272 68994217908 137988435816
• Sum of all divisors σ(n): 492492147840
• Sum of proper divisors (its aliquot sum) s(n): 354503712024
• 137988435816 is an abundant number, because the sum of its proper divisors (354503712024) is greater than itself. Its abundance is 216515276208

Bases of 137988435816

• Binary: 10000000100000110000000110111101101000₂
• Hexadecimal: 0x2020C06F68
• Base-36: 1RE2R2I0

Squares and roots of 137988435816

• 137988435816 squared (137988435816²) is 19040808418946351585856
• 137988435816 cubed (137988435816³) is 2627411370402531074152260469418496
• The square root of 137988435816 is 371467.9472255985
• The cube root of 137988435816 is 5167.5049013585

Scales and comparisons

• 137,988,435,816 seconds is equal to 4,387 years, 31 weeks, 3 days, 9 hours, 3 minutes, 36 seconds.
• To count from 1 to 137,988,435,816 would take you about eight thousand, seven hundred seventy-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 137988435816 cubic inches would be around 430.6 feet tall.

Recreational maths with 137988435816

• 137988435816 backwards is 618534889731
• 137988435816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137988435816's digits is 63
• More coming soon!