138013276128

Names of 138013276128

• Cardinal: 138013276128 can be written as One hundred thirty-eight billion, thirteen million, two hundred seventy-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38013276128 × 10¹¹

Factors of 138013276128

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 580

Divisors of 138013276128

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 49 52 56 74 78 84 91 96 98 104 111 112 147 148 156 168 181 182 196 208 222 224 259 273 294 296 312 336 337 362 364 392 416 444 481 518 543 546 588 592 624 637 672 674 724 728 777 784 888 962 1011 1036 1086 1092 1176 1184 1248 1267 1274 1348 1443 1448 1456 1554 1568 1776 1813 1911 1924 2022 2072 2172 2184 2352 2353 2359 2534 2548 2696 2886 2896 2912 3108 3367 3552 3626 3801 3822 3848 4044 4144 4344 4368 4381 4704 4706 4718 5068 5096 5392 5439 5772 5792 6216 6697 6734 7059 7077 7252 7602 7644 7696 8088 8288 8688 8736 8762 8869 9412 9436 10101 10136 10192 10784 10878 11544 12432 12469 13143 13394 13468 14118 14154 14504 15204 15288 15392 16176 16471 16513 17376 17524 17738 18824 18872 20091 20202 20272 20384 21756 23088 23569 24864 24938 26286 26607 26788 26936 28236 28308 29008 30408 30576 30667 32352 32942 33026 35048 35476 37407 37648 37744 40182 40404 40544 43512 46176 46879 47138 49413 49539 49876 52572 53214 53576 53872 56472 56616 58016 60816 60997 61152 61334 65884 66052 70096 70707 70952 74814 75296 75488 80364 80808 87024 87061 87283 92001 93758 94276 98826 99078 99752 105144 106428 107152 107744 112944 113232 115297 121632 121994 122668 131768 132104 140192 140637 141414 141904 149628 160728 161616 162097 174048 174122 174566 182991 184002 187516 188552 197652 198156 199504 210288 212856 214304 214669 225888 226464 230594 243988 245336 261183 261849 263536 264208 281274 282828 283808 299256 321456 323232 324194 328153 345891 348244 349132 365982 368004 375032 377104 395304 396312 399008 420576 425712 426979 429338 461188 486291 487976 490672 522366 523698 527072 528416 562548 565656 598512 609427 610981 642912 644007 648388 656306 691782 696488 698264 731964 736008 750064 754208 790608 792624 792961 851424 853958 858676 922376 972582 975952 981344 984459 1044732 1047396 1125096 1131312 1134679 1197024 1218854 1221962 1280937 1288014 1296776 1312612 1383564 1392976 1396528 1463928 1472016 1500128 1581216 1585248 1585922 1707916 1717352 1828281 1832943 1844752 1945164 1951904 1968918 2089464 2094792 2250192 2256889 2262624 2269358 2378883 2437708 2443924 2561874 2576028 2593552 2625224 2767128 2785952 2793056 2927856 2944032 2988853 3171844 3404037 3415832 3434704 3656562 3665886 3689504 3890328 3937836 4178928 4189584 4265989 4500384 4513778 4538716 4757766 4875416 4887848 5123748 5152056 5187104 5250448 5534256 5550727 5855712 5977706 6343688 6770667 6808074 6831664 6869408 7313124 7331772 7780656 7875672 7942753 8357856 8379168 8531978 8966559 9027556 9077432 9515532 9750832 9775696 10247496 10304112 10500896 11068512 11101454 11955412 12687376 12797967 13541334 13616148 13663328 14626248 14663544 15561312 15751344 15798223 15885506 16652181 17063956 17933118 18055112 18154864 19031064 19501664 19551392 20494992 20608224 22202908 23828259 23910824 25374752 25595934 27082668 27232296 29252496 29327088 29339557 31502688 31596446 31771012 33304362 34127912 35866236 36110224 36309728 38062128 38855089 40989984 44405816 47394669 47656518 47821648 51191868 54165336 54464592 58504992 58654176 58679114 63192892 63542024 66608724 68255824 71732472 72220448 76124256 77710178 88018671 88811632 94789338 95313036 95643296 102383736 108330672 108929184 110587561 116565267 117358228 126385784 127084048 133217448 136511648 143464944 155420356 176037342 177623264 189578676 190626072 204767472 205376899 216661344 221175122 233130534 234716456 252771568 254168096 266434896 286929888 310840712 331762683 352074684 379157352 381252144 409534944 410753798 442350244 466261068 469432912 505543136 532869792 616130697 621681424 663525366 704149368 758314704 762504288 821507596 884700488 932522136 938865824 1232261394 1243362848 1327050732 1408298736 1437638293 1516629408 1643015192 1769400976 1865044272 2464522788 2654101464 2816597472 2875276586 3286030384 3538801952 3730088544 4312914879 4929045576 5308202928 5750553172 6572060768 8625829758 9858091152 10616405856 11501106344 17251659516 19716182304 23002212688 34503319032 46004425376 69006638064 138013276128
• Sum of all divisors σ(n): 470083618368
• Sum of proper divisors (its aliquot sum) s(n): 332070342240
• 138013276128 is an abundant number, because the sum of its proper divisors (332070342240) is greater than itself. Its abundance is 194057066112

Bases of 138013276128

• Binary: 10000000100010001110110111011111100000₂
• Hexadecimal: 0x20223B77E0
• Base-36: 1REHJHEO

Squares and roots of 138013276128

• 138013276128 squared (138013276128²) is 19047664387583574672384
• 138013276128 cubed (138013276128³) is 2628830564717043905937040128049152
• The square root of 138013276128 is 371501.3810579981
• The cube root of 138013276128 is 5167.8149629263

Scales and comparisons

• 138,013,276,128 seconds is equal to 4,388 years, 20 weeks, 3 days, 21 hours, 8 minutes, 48 seconds.
• To count from 1 to 138,013,276,128 would take you about eight thousand, seven hundred seventy-six 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 138013276128 cubic inches would be around 430.7 feet tall.

Recreational maths with 138013276128

• 138013276128 backwards is 821672310831
• 138013276128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138013276128's digits is 42
• More coming soon!