40149984120400

Names of 40149984120400

• Cardinal: 40149984120400 can be written as Forty trillion, one hundred forty-nine billion, nine hundred eighty-four million, one hundred twenty thousand, four hundred.

Scientific notation

• Scientific notation: 4.01499841204 × 10¹³

Factors of 40149984120400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 7520

Divisors of 40149984120400

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 131 140 154 175 176 200 220 262 275 280 308 350 385 400 440 524 550 560 616 655 700 770 880 917 1048 1100 1232 1310 1400 1441 1540 1783 1834 1925 2096 2200 2620 2800 2882 3080 3275 3566 3668 3850 4400 4585 5240 5581 5764 6160 6550 7132 7205 7336 7700 8915 9170 10087 10480 11162 11528 12481 13100 14264 14410 14672 15400 17830 18340 19613 20174 22324 22925 23056 24962 26200 27905 28528 28820 30800 35660 36025 36680 39067 39226 40348 44575 44648 45850 49924 50435 52400 55810 57640 61391 62405 71320 72050 73360 78134 78452 80696 89150 89296 91700 98065 99848 100870 111620 115280 122782 124810 137291 139525 142640 144100 156268 156904 161392 178300 183400 195335 196130 199696 201740 223240 233573 245564 249620 252175 274582 279050 288200 306955 312025 312536 313808 356600 366800 390670 392260 403480 429737 446480 467146 490325 491128 499240 504350 549164 558100 576400 613910 624050 625072 686455 713200 731111 781340 784520 806960 859474 934292 976675 980650 982256 998480 1008700 1098328 1116200 1167865 1227820 1248100 1372910 1462222 1534775 1562680 1569040 1635011 1718948 1868584 1953350 1961300 2017400 2148685 2196656 2232400 2335730 2455640 2496200 2569303 2745820 2924444 3069550 3125360 3270022 3432275 3437896 3655555 3737168 3906700 3922600 4034800 4297370 4671460 4911280 4992400 5117777 5138606 5491640 5839325 5848888 6139100 6540044 6864550 6875792 7311110 7813400 7845200 8042221 8175055 8594740 9342920 9950923 10235554 10277212 10743425 10983280 11678650 11697776 12278200 12846515 13080088 13729100 14622220 15626800 16084442 16350110 17189480 17985121 18277775 18685840 19901846 20471108 20554424 21486850 23357300 24556400 25588885 25693030 26160176 27458200 29244440 32168884 32700220 34378960 35970242 36555550 39803692 40211105 40875275 40942216 41108848 42973700 46714600 49754615 51177770 51386060 54916400 56295547 58488880 64232575 64337768 65400440 69656461 71940484 73111100 79607384 80422210 81750550 81884432 85947400 89925605 93429200 99509230 102355540 102772120 109460153 112591094 127944425 128465150 128675536 130800880 139312922 143880968 146222200 159214768 160844420 163501100 171894800 179851210 199018460 201055525 204711080 205544240 218920306 225182188 248773075 255888850 256930300 278625844 281477735 287761936 292444400 321688840 327002200 348282305 359702420 398036920 402111050 409422160 437840612 449628025 450364376 497546150 511777700 513860600 547300765 557251688 562955470 643377680 654004400 696564610 719404840 766221071 796073840 804222100 875681224 899256050 900728752 995092300 1023555400 1027721200 1094601530 1114503376 1125910940 1303570913 1393129220 1407388675 1438809680 1532442142 1608444200 1741411525 1751362448 1798512100 1990184600 2047110800 2189203060 2251821880 2607141826 2736503825 2786258440 2814777350 3064884284 3216888400 3482823050 3597024200 3831105355 3980369200 4378406120 4503643760 5214283652 5473007650 5572516880 5629554700 6129768568 6517854565 6965646100 7194048400 7662210710 8756812240 9124996391 10428567304 10946015300 11259109400 12259537136 13035709130 13931292200 14339280043 15324421420 18249992782 19155526775 20857134608 21892030600 22518218800 26071418260 27862584400 28678560086 30648842840 32589272825 36499985564 38311053550 43784061200 45624981955 52142836520 57357120172 61297685680 65178545650 71696400215 72999971128 76622107100 91249963910 100374960301 104285673040 114714240344 130357091300 143392800430 145999942256 153244214200 182499927820 200749920602 228124909775 229428480688 260714182600 286785600860 306488428400 358482001075 364999855640 401499841204 456249819550 501874801505 521428365200 573571201720 716964002150 729999711280 802999682408 912499639100 1003749603010 1147142403440 1433928004300 1605999364816 1824999278200 2007499206020 2509374007525 2867856008600 3649998556400 4014998412040 5018748015050 5735712017200 8029996824080 10037496030100 20074992060200 40149984120400
• Sum of all divisors σ(n): 121269959940096
• Sum of proper divisors (its aliquot sum) s(n): 81119975819696
• 40149984120400 is an abundant number, because the sum of its proper divisors (81119975819696) is greater than itself. Its abundance is 40969991699296

Bases of 40149984120400

• Binary: 1001001000010000100101100010101000111001010000₂
• Hexadecimal: 0x2484258A8E50
• Base-36: E8CNBWITS

Squares and roots of 40149984120400

• 40149984120400 squared (40149984120400²) is 1612021224868372161696160000
• 40149984120400 cubed (40149984120400³) is 64722626580212899872298245129657664000000
• The square root of 40149984120400 is 6336401.5119308845
• The cube root of 40149984120400 is 34242.2104921575

Scales and comparisons

• 40,149,984,120,400 seconds is equal to 1,276,645 years, 15 weeks, 5 days, 6 hours, 46 minutes, 40 seconds.
• To count from 1 to 40,149,984,120,400 would take you about three million, one hundred ninety-one thousand, six hundred thirteen 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 40149984120400 cubic inches would be around 2853.5 feet tall.

Recreational maths with 40149984120400

• 40149984120400 backwards is 00402148994104
• The number of decimal digits it has is: 14
• The sum of 40149984120400's digits is 46
• More coming soon!