138152848800

Names of 138152848800

• Cardinal: 138152848800 can be written as One hundred thirty-eight billion, one hundred fifty-two million, eight hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.381528488 × 10¹¹

Factors of 138152848800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 644

Divisors of 138152848800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 61 69 75 80 89 92 96 100 115 120 122 138 150 160 178 183 184 200 230 240 244 267 276 300 305 345 356 366 368 400 445 460 461 480 488 534 552 575 600 610 690 712 732 736 800 890 915 920 922 976 1068 1104 1150 1200 1220 1335 1380 1383 1403 1424 1464 1525 1725 1780 1830 1840 1844 1952 2047 2136 2208 2225 2300 2305 2400 2440 2670 2760 2766 2806 2848 2928 3050 3450 3560 3660 3680 3688 4094 4209 4272 4450 4575 4600 4610 4880 5340 5429 5520 5532 5612 5856 6100 6141 6675 6900 6915 7015 7120 7320 7376 8188 8418 8544 8900 9150 9200 9220 9760 10235 10603 10680 10858 11040 11064 11224 11525 12200 12282 13350 13800 13830 14030 14240 14640 14752 16287 16376 16836 17800 18300 18400 18440 20470 21045 21206 21360 21716 22128 22448 23050 24400 24564 26700 27145 27600 27660 28060 28121 29280 30705 31809 32574 32752 33672 34575 35075 35600 36600 36880 40940 41029 42090 42412 42720 43432 44256 44896 46100 48800 49128 51175 53015 53400 54290 55200 55320 56120 56242 61410 63618 65148 65504 67344 69150 70150 71200 73200 73760 81435 81880 82058 84180 84363 84824 86864 92200 98256 102350 105225 106030 106800 108580 110640 112240 112484 122820 123087 124867 127236 130296 134688 135725 138300 140300 140605 146400 153525 159045 162870 163760 164116 168360 168726 169648 173728 184400 196512 204700 205145 210450 212060 213600 217160 221280 224480 224968 245640 246174 249734 254472 260592 265075 271450 276600 280600 281210 307050 318090 325740 327520 328232 336720 337452 339296 368800 374601 407175 409400 410290 420900 421815 424120 434320 449936 491280 492348 499468 508944 521184 530150 542900 553200 561200 562420 614100 615435 624335 636180 646783 651480 656464 673440 674904 703025 749202 795225 814350 818800 820580 841800 843630 848240 868640 899872 943667 982560 984696 998936 1017888 1025725 1060300 1085800 1106400 1122400 1124840 1228200 1230870 1248670 1272360 1293566 1302960 1312928 1349808 1406050 1498404 1590450 1628700 1637600 1641160 1683600 1687260 1696480 1873005 1887334 1940349 1969392 1997872 2051450 2109075 2120600 2171600 2249680 2456400 2461740 2497340 2502769 2544720 2587132 2605920 2699616 2812100 2831001 2996808 3077175 3121675 3180900 3233915 3257400 3282320 3367200 3374520 3746010 3774668 3880698 3938784 3995744 4102900 4218150 4241200 4343200 4499360 4718335 4912800 4923480 4994680 5005538 5089440 5174264 5624200 5662002 5993616 6154350 6243350 6361800 6467830 6514800 6564640 6749040 7492020 7508307 7549336 7761396 8205800 8436300 8482400 9365025 9436670 9701745 9846960 9989360 10011076 10348528 11248400 11324004 11987232 12308700 12486700 12513845 12723600 12935660 13029600 13498080 14155005 14984040 15016614 15098672 15522792 16169575 16411600 16872600 18730050 18873340 19403490 19693920 19978720 20022152 20697056 22496800 22648008 23591675 24617400 24973400 25027690 25447200 25871320 28310010 29968080 30033228 30197344 31045584 32339150 32823200 33745200 37460100 37541535 37746680 38806980 40044304 45296016 47183350 48508725 49234800 49946800 50055380 51742640 56620020 57563687 59936160 60066456 62091168 62569225 64678300 67490400 70775025 74920200 75083070 75493360 77613960 80088608 90592032 94366700 97017450 98469600 99893600 100110760 103485280 113240040 115127374 120132912 125138450 129356600 141550050 149840400 150166140 150986720 155227920 172691061 187707675 188733400 194034900 200221520 226480080 230254748 240265824 250276900 258713200 283100100 287818435 299680800 300332280 310455840 345382122 375415350 377466800 388069800 400443040 452960160 460509496 500553800 517426400 566200200 575636870 600664560 690764244 750830700 754933600 776139600 863455305 921018992 1001107600 1132400400 1151273740 1201329120 1381528488 1439092175 1501661400 1552279200 1726910610 1842037984 2002215200 2264800800 2302547480 2763056976 2878184350 3003322800 3453821220 4317276525 4605094960 5526113952 5756368700 6006645600 6907642440 8634553050 9210189920 11512737400 13815284880 17269106100 23025474800 27630569760 34538212200 46050949600 69076424400 138152848800
• Sum of all divisors σ(n): 483336564480
• Sum of proper divisors (its aliquot sum) s(n): 345183715680
• 138152848800 is an abundant number, because the sum of its proper divisors (345183715680) is greater than itself. Its abundance is 207030866880

Bases of 138152848800

• Binary: 10000000101010100011010010110110100000₂
• Hexadecimal: 0x202A8D2DA0
• Base-36: 1RGSN0DC

Squares and roots of 138152848800

• 138152848800 squared (138152848800²) is 19086209631555661440000
• 138152848800 cubed (138152848800³) is 2636814233393413003704310272000000
• The square root of 138152848800 is 371689.1830548745
• The cube root of 138152848800 is 5169.5564445055

Scales and comparisons

• 138,152,848,800 seconds is equal to 4,392 years, 43 weeks, 2 days, 7 hours, 20 minutes.
• To count from 1 to 138,152,848,800 would take you about eight thousand, seven hundred eighty-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 138152848800 cubic inches would be around 430.8 feet tall.

Recreational maths with 138152848800

• 138152848800 backwards is 008848251831
• 138152848800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138152848800's digits is 48
• More coming soon!