398163446640000

Names of 398163446640000

• Cardinal: 398163446640000 can be written as Three hundred ninety-eight trillion, one hundred sixty-three billion, four hundred forty-six million, six hundred forty thousand.

Scientific notation

• Scientific notation: 3.9816344664 × 10¹⁴

Factors of 398163446640000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 13587

Divisors of 398163446640000

• Number of divisors d(n): 480
• 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 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 384 400 432 450 480 500 540 576 600 625 640 675 720 750 800 864 900 960 1000 1080 1125 1152 1200 1250 1350 1440 1500 1600 1728 1800 1875 1920 2000 2160 2250 2400 2500 2700 2880 3000 3200 3375 3456 3600 3750 4000 4320 4500 4800 5000 5400 5625 5760 6000 6750 7200 7500 8000 8640 9000 9600 10000 10800 11250 12000 13500 13577 14400 15000 16000 16875 17280 18000 20000 21600 22500 24000 27000 27154 28800 30000 33750 36000 40000 40731 43200 45000 48000 54000 54308 60000 67500 67885 72000 80000 81462 86400 90000 108000 108616 120000 122193 135000 135770 144000 162924 180000 203655 216000 217232 240000 244386 270000 271540 325848 339425 360000 366579 407310 432000 434464 488772 540000 543080 610965 651696 678850 720000 733158 814620 868928 977544 1018275 1080000 1086160 1221930 1303392 1357700 1466316 1629240 1697125 1737856 1832895 1955088 2036550 2160000 2172320 2443860 2606784 2715400 2932632 3054825 3258480 3394250 3665790 3910176 4073100 4344640 4887720 5091375 5213568 5430800 5865264 6109650 6516960 6788500 7331580 7820352 8146200 8485625 8689280 9164475 9775440 10182750 10861600 11730528 12219300 13033920 13577000 14663160 15274125 15640704 16292400 16971250 18328950 19550880 20365500 21723200 23461056 24438600 25456875 26067840 27154000 29326320 30548250 32584800 33942500 36657900 39101760 40731000 43446400 45822375 46922112 48877200 50913750 54308000 58652640 61096500 65169600 67885000 73315800 76370625 78203520 81462000 91644750 97754400 101827500 108616000 117305280 122193000 130339200 135770000 146631600 152741250 162924000 183289500 184334929 195508800 203655000 217232000 229111875 234610560 244386000 271540000 293263200 305482500 325848000 366579000 368669858 391017600 407310000 458223750 488772000 543080000 553004787 586526400 610965000 651696000 733158000 737339716 814620000 916447500 921674645 977544000 1086160000 1106009574 1173052800 1221930000 1466316000 1474679432 1629240000 1659014361 1832895000 1843349290 1955088000 2212019148 2443860000 2765023935 2932632000 2949358864 3258480000 3318028722 3665790000 3686698580 4424038296 4608373225 4887720000 4977043083 5530047870 5865264000 5898717728 6636057444 7331580000 7373397160 8295071805 8848076592 9216746450 9775440000 9954086166 11060095740 11797435456 13272114888 13825119675 14663160000 14746794320 16590143610 17696153184 18433492900 19908172332 22120191480 23041866125 23594870912 24885215415 26544229776 27650239350 29326320000 29493588640 33180287220 35392306368 36866985800 39816344664 41475359025 44240382960 46083732250 49770430830 53088459552 55300478700 58987177280 66360574440 69125598375 70784612736 73733971600 79632689328 82950718050 88480765920 92167464500 99540861660 106176919104 110600957400 115209330625 117974354560 124426077075 132721148880 138251196750 147467943200 159265378656 165901436100 176961531840 184334929000 199081723320 207376795125 212353838208 221201914800 230418661250 248852154150 265442297760 276502393500 294935886400 318530757312 331802872200 345627991875 353923063680 368669858000 398163446640 414753590250 442403829600 460837322500 497704308300 530884595520 553004787000 589871772800 622130385375 637061514624 663605744400 691255983750 737339716000 796326893280 829507180500 884807659200 921674645000 995408616600 1036883975625 1061769191040 1106009574000 1244260770750 1327211488800 1382511967500 1474679432000 1592653786560 1659014361000 1769615318400 1843349290000 1990817233200 2073767951250 2212019148000 2488521541500 2654422977600 2765023935000 2949358864000 3110651926875 3185307573120 3318028722000 3686698580000 3981634466400 4147535902500 4424038296000 4977043083000 5308845955200 5530047870000 6221303853750 6636057444000 7373397160000 7963268932800 8295071805000 8848076592000 9954086166000 11060095740000 12442607707500 13272114888000 14746794320000 15926537865600 16590143610000 19908172332000 22120191480000 24885215415000 26544229776000 33180287220000 39816344664000 44240382960000 49770430830000 66360574440000 79632689328000 99540861660000 132721148880000 199081723320000 398163446640000
• Sum of all divisors σ(n): 1468557076463400
• Sum of proper divisors (its aliquot sum) s(n): 1070393629823400
• 398163446640000 is an abundant number, because the sum of its proper divisors (1070393629823400) is greater than itself. Its abundance is 672230183183400

Bases of 398163446640000

• Binary: 1011010100010000010100110110011001010110110000000₂
• Hexadecimal: 0x16A20A6CCAD80
• Base-36: 3X4XRFUQO0

Squares and roots of 398163446640000

• 398163446640000 squared (398163446640000²) is 158534130240244127289600000000
• 398163446640000 cubed (398163446640000³) is 63122495706530252956646017426944000000000000
• The square root of 398163446640000 is 19954033.3426603255
• The cube root of 398163446640000 is 73567.6916078129

Scales and comparisons

• 398,163,446,640,000 seconds is equal to 12,660,366 years, 1 day.
• To count from 1 to 398,163,446,640,000 would take you about thirty-one million, six hundred fifty thousand, nine 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 398163446640000 cubic inches would be around 6130.6 feet tall.

Recreational maths with 398163446640000

• 398163446640000 backwards is 000046644361893
• 398163446640000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 398163446640000's digits is 54
• More coming soon!