40107110400

Names of 40107110400

• Cardinal: 40107110400 can be written as Forty billion, one hundred seven million, one hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 4.01071104 × 10¹⁰

Factors of 40107110400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 6234

Divisors of 40107110400

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 256 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 512 525 560 576 600 630 640 672 700 720 768 800 840 896 900 960 1008 1024 1050 1120 1152 1200 1260 1280 1344 1400 1440 1536 1575 1600 1680 1792 1800 1920 2016 2048 2100 2240 2304 2400 2520 2560 2688 2800 2880 3072 3150 3200 3360 3584 3600 3840 4032 4096 4200 4480 4608 4800 5040 5120 5376 5600 5760 6144 6217 6300 6400 6720 7168 7200 7680 8064 8400 8960 9216 9600 10080 10240 10752 11200 11520 12288 12434 12600 12800 13440 14336 14400 15360 16128 16800 17920 18432 18651 19200 20160 20480 21504 22400 23040 24868 25200 25600 26880 28672 28800 30720 31085 32256 33600 35840 36864 37302 38400 40320 43008 43519 44800 46080 49736 50400 51200 53760 55953 57600 61440 62170 64512 67200 71680 74604 76800 80640 86016 87038 89600 92160 93255 99472 100800 102400 107520 111906 115200 124340 129024 130557 134400 143360 149208 153600 155425 161280 174076 179200 184320 186510 198944 201600 215040 217595 223812 230400 248680 258048 261114 268800 279765 298416 307200 310850 322560 348152 358400 373020 391671 397888 403200 430080 435190 447624 460800 466275 497360 522228 537600 559530 596832 621700 645120 652785 696304 716800 746040 783342 795776 806400 870380 895248 921600 932550 994720 1044456 1075200 1087975 1119060 1193664 1243400 1290240 1305570 1392608 1398825 1492080 1566684 1591552 1612800 1740760 1790496 1865100 1958355 1989440 2088912 2150400 2175950 2238120 2387328 2486800 2611140 2785216 2797650 2984160 3133368 3183104 3225600 3263925 3481520 3580992 3730200 3916710 3978880 4177824 4351900 4476240 4774656 4973600 5222280 5570432 5595300 5968320 6266736 6366208 6451200 6527850 6963040 7161984 7460400 7833420 7957760 8355648 8703800 8952480 9549312 9791775 9947200 10444560 11140864 11190600 11936640 12533472 12732416 13055700 13926080 14323968 14920800 15666840 15915520 16711296 17407600 17904960 19098624 19583550 19894400 20889120 22281728 22381200 23873280 25066944 25464832 26111400 27852160 28647936 29841600 31333680 31831040 33422592 34815200 35809920 38197248 39167100 39788800 41778240 44563456 44762400 47746560 50133888 52222800 55704320 57295872 59683200 62667360 63662080 66845184 69630400 71619840 76394496 78334200 79577600 83556480 89126912 89524800 95493120 100267776 104445600 111408640 114591744 119366400 125334720 127324160 133690368 139260800 143239680 156668400 159155200 167112960 178253824 179049600 190986240 200535552 208891200 222817280 229183488 238732800 250669440 267380736 278521600 286479360 313336800 318310400 334225920 358099200 381972480 401071104 417782400 445634560 477465600 501338880 534761472 557043200 572958720 626673600 636620800 668451840 716198400 802142208 835564800 891269120 954931200 1002677760 1114086400 1145917440 1253347200 1336903680 1432396800 1604284416 1671129600 1909862400 2005355520 2228172800 2506694400 2673807360 2864793600 3342259200 4010711040 4456345600 5013388800 5729587200 6684518400 8021422080 10026777600 13369036800 20053555200 40107110400
• Sum of all divisors σ(n): 164203600912
• Sum of proper divisors (its aliquot sum) s(n): 124096490512
• 40107110400 is an abundant number, because the sum of its proper divisors (124096490512) is greater than itself. Its abundance is 83989380112

Bases of 40107110400

• Binary: 100101010110100100011111000000000000₂
• Hexadecimal: 0x95691F000
• Base-36: IFAQKG0

Squares and roots of 40107110400

• 40107110400 squared (40107110400²) is 1608580304637788160000
• 40107110400 cubed (40107110400³) is 64515507865373401744932864000000
• The square root of 40107110400 is 200267.5969796413
• The cube root of 40107110400 is 3423.0017761471

Scales and comparisons

• 40,107,110,400 seconds is equal to 1,275 years, 14 weeks, 4 days, 16 hours.
• To count from 1 to 40,107,110,400 would take you about two thousand, five hundred fifty 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 40107110400 cubic inches would be around 285.3 feet tall.

Recreational maths with 40107110400

• 40107110400 backwards is 00401170104
• 40107110400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40107110400's digits is 18
• More coming soon!