138623906520

Names of 138623906520

• Cardinal: 138623906520 can be written as One hundred thirty-eight billion, six hundred twenty-three million, nine hundred six thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3862390652 × 10¹¹

Factors of 138623906520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1872

Divisors of 138623906520

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 18 19 20 22 24 27 30 31 33 36 38 40 44 45 54 55 57 60 62 66 72 76 88 90 93 95 99 108 110 114 120 121 124 132 135 152 155 165 171 180 186 190 198 209 216 220 228 242 248 264 270 279 285 297 310 330 341 342 360 363 372 380 396 418 440 456 465 484 495 513 540 558 570 589 594 605 620 627 660 682 684 726 744 760 792 836 837 855 930 968 990 1023 1026 1045 1080 1089 1116 1140 1178 1188 1210 1240 1254 1320 1364 1368 1395 1452 1485 1672 1674 1705 1710 1767 1801 1815 1860 1881 1980 2046 2052 2090 2178 2232 2280 2299 2356 2376 2420 2508 2565 2728 2790 2904 2945 2970 3069 3135 3267 3348 3410 3420 3534 3602 3630 3720 3751 3762 3960 4092 4104 4180 4185 4356 4598 4712 4840 5016 5115 5130 5301 5403 5445 5580 5643 5890 5940 6138 6270 6479 6534 6696 6820 6840 6897 7068 7204 7260 7502 7524 8184 8360 8370 8712 8835 9005 9196 9207 9405 10230 10260 10602 10806 10890 11160 11253 11286 11495 11780 11880 12276 12540 12958 13068 13640 13794 14136 14408 14520 15004 15048 15345 15903 16209 16335 16740 17670 18010 18392 18414 18755 18810 19437 19811 20460 20520 20691 21204 21612 21780 22506 22572 22990 23560 24552 25080 25916 26136 26505 27015 27588 28215 30008 30690 31806 32395 32418 32670 33480 33759 34219 34485 35340 36020 36828 37510 37620 38874 39622 40920 41382 42408 43224 43560 45012 45144 45980 46035 48627 51832 53010 54030 55176 55831 56265 56430 58311 59433 61380 62073 63612 64790 64836 65340 67518 68438 68970 70680 71269 72040 73656 75020 75240 77748 79244 79515 81045 82764 90024 91960 92070 97185 97254 99055 101277 102657 103455 106020 108060 111662 112530 112860 116622 118866 122760 124146 127224 129580 129672 130680 135036 136876 137940 142538 150040 155496 158488 159030 162090 165528 167493 168795 171095 174933 178299 184140 194370 194508 198110 202554 205314 206910 212040 213807 216120 217921 223324 225060 225720 233244 237732 243135 248292 259160 270072 273752 275880 279155 285076 291555 297165 307971 310365 318060 324180 334986 337590 342190 349866 356345 356598 368280 376409 388740 389016 396220 405108 410628 413820 427614 435842 446648 450120 466488 475464 486270 496584 502479 506385 513285 534897 558310 570152 583110 594330 614141 615942 620730 636120 641421 648360 653763 669972 675180 684380 699732 712690 713196 752818 777480 792440 810216 821256 827640 837465 855228 871684 874665 891495 923913 972540 1004958 1012770 1026570 1060789 1069035 1069794 1089605 1116620 1129227 1166220 1188660 1228282 1231884 1241460 1282842 1307526 1339944 1350360 1368760 1399464 1425380 1426392 1505636 1507437 1539855 1674930 1710456 1743368 1749330 1782990 1842423 1847826 1882045 1924263 1945080 1961289 2009916 2025540 2053140 2121578 2138070 2139588 2179210 2233240 2258454 2332440 2377320 2456564 2463768 2482920 2512395 2565684 2615052 2674485 2850760 3011272 3014874 3070705 3079710 3182367 3207105 3268815 3349860 3387681 3498660 3565980 3684846 3695652 3764090 3848526 3922578 4019832 4051080 4106280 4140499 4243156 4276140 4279176 4358420 4516908 4619565 4913128 5024790 5131368 5230104 5303945 5348970 5527269 5646135 5883867 6029748 6141410 6159420 6364734 6414210 6537630 6699720 6755551 6775362 6997320 7131960 7369692 7391304 7528180 7537185 7697052 7845156 8280998 8486312 8552280 8716840 9033816 9212115 9239130 9547101 9621315 9806445 10049580 10163043 10607890 10697940 11054538 11292270 11668679 11767734 12059496 12282820 12318840 12421497 12729468 12828420 13075260 13511102 13550724 14739384 15056360 15074370 15394104 15690312 15911835 16561996 16581807 16938405 18424230 18478260 19094202 19242630 19612890 20099160 20266653 20326086 20702495 21215780 21395880 22109076 22584540 23337358 23535468 24565640 24842994 25458936 25656840 26150520 27022204 27101448 27636345 28641303 29419335 30148740 31823670 33123992 33163614 33777755 33876810 35006037 36848460 36956520 37264491 38188404 38485260 39225780 40533306 40652172 41404990 42431560 44218152 45169080 46674716 47070936 47735505 49685988 50815215 54044408 55272690 57282606 58343395 58838670 60297480 60799959 62107485 63647340 66327228 67555510 67753620 70012074 73696920 74528982 76376808 76970520 78451560 81066612 81304344 82809980 82909035 93349432 95471010 99371976 101333265 101630430 105018111 110545380 111793473 114565212 116686790 117677340 121599918 124214970 127294680 128355469 132654456 135111020 135507240 140024148 143206515 149057964 162133224 165619960 165818070 175030185 182399877 186322455 190942020 202666530 203260860 210036222 221090760 223586946 229130424 233373580 235354680 243199836 248429940 256710938 270222040 280048296 286413030 298115928 303999795 315054333 331636140 350060370 364799754 372644910 381884040 385066407 405333060 406521720 420072444 447173892 466747160 486399672 496859880 513421876 525090555 558967365 572826060 607999590 630108666 641777345 663272280 700120740 729599508 745289820 770132814 810666120 840144888 894347784 911999385 1026843752 1050181110 1117934730 1145652120 1155199221 1215999180 1260217332 1283554690 1400241480 1459199016 1490579640 1540265628 1575271665 1823998770 1925332035 2100362220 2235869460 2310398442 2431998360 2520434664 2567109380 3080531256 3150543330 3465597663 3647997540 3850664070 4200724440 4471738920 4620796884 5134218760 5775996105 6301086660 6931195326 7295995080 7701328140 9241593768 11551992210 12602173320 13862390652 15402656280 17327988315 23103984420 27724781304 34655976630 46207968840 69311953260 138623906520
• Sum of all divisors σ(n): 552190464000
• Sum of proper divisors (its aliquot sum) s(n): 413566557480
• 138623906520 is an abundant number, because the sum of its proper divisors (413566557480) is greater than itself. Its abundance is 274942650960

Bases of 138623906520

• Binary: 10000001000110101000001111001011011000₂
• Hexadecimal: 0x2046A0F2D8
• Base-36: 1ROL3EU0

Squares and roots of 138623906520

• 138623906520 squared (138623906520²) is 19216587458865698510400
• 138623906520 cubed (138623906520³) is 2663878423531202935540192847808000
• The square root of 138623906520 is 372322.3153666725
• The cube root of 138623906520 is 5175.4252992197

Scales and comparisons

• 138,623,906,520 seconds is equal to 4,407 years, 42 weeks, 1 day, 8 hours, 42 minutes.
• To count from 1 to 138,623,906,520 would take you about eight thousand, eight hundred fifteen 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 138623906520 cubic inches would be around 431.3 feet tall.

Recreational maths with 138623906520

• 138623906520 backwards is 025609326831
• 138623906520 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138623906520's digits is 45
• More coming soon!