138400358400

Names of 138400358400

• Cardinal: 138400358400 can be written as One hundred thirty-eight billion, four hundred million, three hundred fifty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 1.384003584 × 10¹¹

Factors of 138400358400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 113

Divisors of 138400358400

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 103 108 120 128 135 144 150 160 162 180 192 200 206 216 225 240 243 256 270 288 300 309 320 324 360 384 400 405 412 432 450 480 486 512 515 540 576 600 618 640 648 675 720 729 768 800 810 824 864 900 927 960 972 1024 1030 1080 1152 1200 1215 1236 1280 1296 1350 1440 1458 1536 1545 1600 1620 1648 1728 1800 1854 1920 1944 2025 2048 2060 2160 2187 2304 2400 2430 2472 2560 2575 2592 2700 2781 2880 2916 3072 3090 3200 3240 3296 3456 3600 3645 3708 3840 3888 4050 4096 4120 4320 4374 4608 4635 4800 4860 4944 5120 5150 5184 5400 5562 5760 5832 6075 6144 6180 6400 6480 6561 6592 6912 7200 7290 7416 7680 7725 7776 8100 8192 8240 8343 8640 8748 9216 9270 9600 9720 9888 10240 10300 10368 10800 10935 11124 11520 11664 12150 12288 12360 12800 12960 13122 13184 13824 13905 14400 14580 14832 15360 15450 15552 16200 16480 16686 17280 17496 18225 18432 18540 19200 19440 19776 20480 20600 20736 21600 21870 22248 23040 23175 23328 24300 24576 24720 25029 25600 25920 26244 26368 27648 27810 28800 29160 29664 30720 30900 31104 32400 32805 32960 33372 34560 34992 36450 36864 37080 38400 38880 39552 40960 41200 41472 41715 43200 43740 44496 46080 46350 46656 48600 49440 50058 51200 51840 52488 52736 54675 55296 55620 57600 58320 59328 61440 61800 62208 64800 65610 65920 66744 69120 69525 69984 72900 73728 74160 75087 76800 77760 79104 82400 82944 83430 86400 87480 88992 92160 92700 93312 97200 98880 100116 102400 103680 104976 105472 109350 110592 111240 115200 116640 118656 122880 123600 124416 125145 129600 131220 131840 133488 138240 139050 139968 145800 148320 150174 153600 155520 158208 164025 164800 165888 166860 172800 174960 177984 184320 185400 186624 194400 197760 200232 204800 207360 208575 209952 210944 218700 221184 222480 225261 230400 233280 237312 247200 248832 250290 259200 262440 263680 266976 276480 278100 279936 291600 296640 300348 307200 311040 316416 328050 329600 331776 333720 345600 349920 355968 368640 370800 373248 375435 388800 395520 400464 414720 417150 419904 421888 437400 444960 450522 460800 466560 474624 494400 497664 500580 518400 524880 527360 533952 552960 556200 559872 583200 593280 600696 614400 622080 625725 632832 656100 659200 663552 667440 675783 691200 699840 711936 741600 746496 750870 777600 791040 800928 829440 834300 839808 843776 874800 889920 901044 921600 933120 949248 988800 995328 1001160 1036800 1049760 1054720 1067904 1105920 1112400 1119744 1126305 1166400 1186560 1201392 1244160 1251450 1265664 1312200 1318400 1334880 1351566 1382400 1399680 1423872 1483200 1492992 1501740 1555200 1582080 1601856 1658880 1668600 1679616 1749600 1779840 1802088 1843200 1866240 1877175 1898496 1977600 1990656 2002320 2073600 2099520 2109440 2135808 2224800 2239488 2252610 2332800 2373120 2402784 2488320 2502900 2531328 2624400 2636800 2669760 2703132 2764800 2799360 2847744 2966400 2985984 3003480 3110400 3164160 3203712 3317760 3337200 3359232 3378915 3499200 3559680 3604176 3732480 3754350 3796992 3955200 4004640 4147200 4199040 4218880 4271616 4449600 4478976 4505220 4665600 4746240 4805568 4976640 5005800 5248800 5273600 5339520 5406264 5529600 5598720 5631525 5695488 5932800 5971968 6006960 6220800 6328320 6407424 6674400 6718464 6757830 6998400 7119360 7208352 7464960 7508700 7593984 7910400 8009280 8294400 8398080 8543232 8899200 8957952 9010440 9331200 9492480 9611136 9953280 10011600 10497600 10547200 10679040 10812528 11197440 11263050 11390976 11865600 12013920 12441600 12656640 12814848 13348800 13436928 13515660 13996800 14238720 14416704 14929920 15017400 15820800 16018560 16588800 16796160 16894575 17086464 17798400 17915904 18020880 18662400 18984960 19222272 20023200 20995200 21094400 21358080 21625056 22394880 22526100 22781952 23731200 24027840 24883200 25629696 26697600 26873856 27031320 27993600 28477440 28833408 29859840 30034800 31641600 32037120 33592320 33789150 34172928 35596800 36041760 37324800 37969920 38444544 40046400 41990400 42716160 43250112 44789760 45052200 47462400 48055680 49766400 51259392 53395200 53747712 54062640 55987200 56954880 57666816 60069600 63283200 64074240 67184640 67578300 68345856 71193600 72083520 74649600 76889088 80092800 83980800 85432320 86500224 89579520 90104400 94924800 96111360 102518784 106790400 108125280 111974400 113909760 115333632 120139200 128148480 134369280 135156600 142387200 144167040 149299200 153778176 160185600 167961600 170864640 173000448 180208800 189849600 192222720 205037568 213580800 216250560 223948800 230667264 240278400 256296960 268738560 270313200 284774400 288334080 307556352 320371200 335923200 341729280 346000896 360417600 384445440 427161600 432501120 447897600 461334528 480556800 512593920 540626400 569548800 576668160 615112704 640742400 671846400 692001792 720835200 768890880 854323200 865002240 922669056 961113600 1025187840 1081252800 1153336320 1281484800 1343692800 1384003584 1441670400 1537781760 1708646400 1730004480 1845338112 1922227200 2162505600 2306672640 2562969600 2768007168 2883340800 3075563520 3460008960 3844454400 4325011200 4613345280 5125939200 5536014336 5766681600 6920017920 7688908800 8650022400 9226690560 11533363200 13840035840 15377817600 17300044800 23066726400 27680071680 34600089600 46133452800 69200179200 138400358400
• Sum of all divisors σ(n): 519789732072
• Sum of proper divisors (its aliquot sum) s(n): 381389373672
• 138400358400 is an abundant number, because the sum of its proper divisors (381389373672) is greater than itself. Its abundance is 242989015272

Bases of 138400358400

• Binary: 10000000111001010011011110000000000000₂
• Hexadecimal: 0x20394DE000
• Base-36: 1RKW0000

Squares and roots of 138400358400

• 138400358400 squared (138400358400²) is 19154659205248450560000
• 138400358400 cubed (138400358400³) is 2651011699036244718548680704000000
• The square root of 138400358400 is 372021.9864470379
• The cube root of 138400358400 is 5172.6417988981

Scales and comparisons

• 138,400,358,400 seconds is equal to 4,400 years, 36 weeks, 4 days.
• To count from 1 to 138,400,358,400 would take you about eight thousand, eight hundred one 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 138400358400 cubic inches would be around 431.1 feet tall.

Recreational maths with 138400358400

• 138400358400 backwards is 004853004831
• 138400358400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138400358400's digits is 36
• More coming soon!