138416502400

Names of 138416502400

• Cardinal: 138416502400 can be written as One hundred thirty-eight billion, four hundred sixteen million, five hundred two thousand, four hundred.

Scientific notation

• Scientific notation: 1.384165024 × 10¹¹

Factors of 138416502400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 260

Divisors of 138416502400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 23 25 32 34 40 44 46 50 55 64 68 80 85 88 89 92 100 110 113 115 128 136 160 170 176 178 184 187 200 220 226 230 253 272 275 320 340 352 356 368 374 391 400 425 440 445 452 460 506 544 550 565 575 640 680 704 712 736 748 782 800 850 880 890 904 920 935 979 1012 1088 1100 1130 1150 1243 1265 1360 1408 1424 1472 1496 1513 1564 1600 1700 1760 1780 1808 1840 1870 1921 1955 1958 2024 2047 2176 2200 2225 2260 2300 2486 2530 2599 2720 2825 2848 2944 2992 3026 3128 3200 3400 3520 3560 3616 3680 3740 3842 3910 3916 4048 4094 4301 4400 4450 4520 4600 4675 4895 4972 5060 5198 5440 5650 5696 5984 6052 6215 6256 6325 6800 7040 7120 7232 7360 7480 7565 7684 7820 7832 8096 8188 8602 8800 8900 9040 9200 9350 9605 9775 9790 9944 10057 10120 10235 10396 10880 11300 11392 11968 12104 12430 12512 12650 12995 13600 14240 14464 14720 14960 15130 15368 15640 15664 16192 16376 16643 17204 17600 17800 18080 18400 18700 19210 19550 19580 19888 20114 20240 20470 20792 21131 21505 22517 22600 23936 24208 24475 24860 25024 25300 25990 27200 28480 28589 29920 30260 30736 31075 31280 31328 32384 32752 33286 34408 34799 35200 35600 36160 36800 37400 37825 38420 39100 39160 39776 40228 40480 40940 41584 42262 43010 44183 45034 45200 48025 48416 48950 49720 50048 50285 50600 51175 51980 54400 56960 57178 59840 60520 61472 62150 62560 62656 64975 65504 66572 68816 69598 71200 72320 73600 74800 75650 76840 78200 78320 79552 80456 80960 81880 83168 83215 84524 86020 88366 90068 90400 96050 96832 97900 99440 100570 101200 102350 103960 105655 107525 110627 112585 114356 119680 121040 122944 124300 125120 125312 129950 131008 133144 137632 139196 142400 142945 149600 151300 153680 156400 156640 159104 160912 161920 163760 166336 166430 169048 170969 172040 173995 176732 180136 180800 192100 193664 195800 198880 201140 202400 204700 207920 211310 215050 220915 221254 225170 228712 231311 242080 245888 248600 250240 251425 259900 262016 266288 275264 278392 284800 285890 299200 302600 307360 312800 313280 321824 327520 332672 332860 338096 341938 344080 347990 353464 360272 361600 382789 384200 391600 397760 402280 404800 409400 415840 416075 422620 430100 441830 442508 450340 457424 462622 484160 486013 497200 502850 519800 528275 532576 550528 553135 556784 562925 571780 598400 605200 614720 625600 626560 643648 655040 665720 676192 683876 688160 695980 706928 714725 720544 765578 768400 783200 795520 804560 809600 818800 831680 832150 845240 854845 860200 869975 883660 885016 900680 914848 925244 968320 972026 994400 1005700 1039600 1056550 1065152 1104575 1106270 1113568 1125850 1143560 1156555 1210400 1229440 1251200 1287296 1310080 1331440 1352384 1367752 1376320 1391960 1413856 1429450 1441088 1531156 1536800 1566400 1609120 1637600 1663360 1664300 1690480 1709690 1720400 1739950 1767320 1770032 1801360 1829696 1850488 1880659 1913945 1944052 1988800 2011400 2079200 2113100 2130304 2209150 2212540 2227136 2251700 2287120 2313110 2420800 2430065 2544421 2662880 2704768 2735504 2752640 2765675 2783920 2827712 2858900 2882176 3062312 3073600 3132800 3218240 3275200 3328600 3380960 3419380 3440800 3479900 3534640 3540064 3602720 3659392 3700976 3761318 3827890 3888104 3932287 3977600 4022800 4158400 4226200 4274225 4418300 4425080 4454272 4503400 4574240 4626220 4841600 4860130 5088842 5325760 5471008 5531350 5567840 5655424 5717800 5782775 6124624 6147200 6436480 6550400 6657200 6761920 6838760 6881600 6959800 7069280 7080128 7205440 7401952 7522636 7655780 7776208 7864574 8045600 8316800 8452400 8548450 8836600 8850160 9006800 9148480 9252440 9403295 9569725 9720260 10177684 10651520 10942016 11062700 11135680 11435600 11565550 12150325 12249248 12722105 13314400 13523840 13677520 13763200 13919600 14138560 14160256 14410880 14803904 15045272 15311560 15552416 15729148 16091200 16904800 17096900 17673200 17700320 18013600 18296960 18504880 18806590 19139450 19440520 19661435 20355368 21884032 22125400 22271360 22871200 23131100 24300650 24498496 25444210 26628800 27355040 27839200 28277120 29607808 30090544 30623120 31104832 31458296 32182400 33809600 34193800 35346400 35400640 36027200 37009760 37613180 38278900 38881040 39322870 40710736 43255157 44250800 45742400 46262200 47016475 48601300 48996992 50888420 53257600 54710080 55678400 60181088 61246240 62209664 62916592 63610525 67619200 68387600 70692800 70801280 72054400 74019520 75226360 76557800 77762080 78645740 81421472 86510314 88501600 91484800 92524400 94032950 97202600 98307175 101776840 109420160 111356800 120362176 122492480 125833184 127221050 136775200 141385600 148039040 150452720 153115600 155524160 157291480 162842944 173020628 177003200 185048800 188065900 194405200 196614350 203553680 216275785 240724352 244984960 251666368 254442100 273550400 300905440 306231200 311048320 314582960 325685888 346041256 354006400 370097600 376131800 388810400 393228700 407107360 432551570 503332736 508884200 547100800 601810880 612462400 629165920 692082512 740195200 752263600 777620800 786457400 814214720 865103140 1017768400 1081378925 1203621760 1224924800 1258331840 1384165024 1504527200 1555241600 1572914800 1628429440 1730206280 2035536800 2162757850 2516663680 2768330048 3009054400 3145829600 3460412560 4071073600 4325515700 5536660096 6018108800 6291659200 6920825120 8142147200 8651031400 12583318400 13841650240 17302062800 27683300480 34604125600 69208251200 138416502400
• Sum of all divisors σ(n): 420449875200
• Sum of proper divisors (its aliquot sum) s(n): 282033372800
• 138416502400 is an abundant number, because the sum of its proper divisors (282033372800) is greater than itself. Its abundance is 143616870400

Bases of 138416502400

• Binary: 10000000111010010001000011011010000000₂
• Hexadecimal: 0x203A443680
• Base-36: 1RL5M0SG

Squares and roots of 138416502400

• 138416502400 squared (138416502400²) is 19159128136649205760000
• 138416502400 cubed (138416502400³) is 2651939505708412317037133824000000
• The square root of 138416502400 is 372043.6834566607
• The cube root of 138416502400 is 5172.8429156279

Scales and comparisons

• 138,416,502,400 seconds is equal to 4,401 years, 11 weeks, 1 day, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 138,416,502,400 would take you about eight thousand, eight hundred two 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 138416502400 cubic inches would be around 431.1 feet tall.

Recreational maths with 138416502400

• 138416502400 backwards is 004205614831
• 138416502400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138416502400's digits is 34
• More coming soon!