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11442220341120 = 27345220721843
BaseRepresentation
bin1010011010000001100101…
…1110101001011110000000
31111111212101000020121020000
42212200121132221132000
52444432131401403440
640200252232120000
72260446613104012
oct246403136513600
944455330217200
1011442220341120
1137116890a2508
1213496b4536000
1364ccc5b18a5a
142b7b40b5a1b2
1514c989973730
hexa68197a9780

11442220341120 has 160 divisors (see below), whose sum is σ = 40862234979720. Its totient is φ = 3051258743808.

The previous prime is 11442220341113. The next prime is 11442220341157. The reversal of 11442220341120 is 2114302224411.

11442220341120 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 2 + 220 + 3 + 411 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110309082 + ... + 110412761.

Almost surely, 211442220341120 is an apocalyptic number.

11442220341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442220341120 is an abundant number, since it is smaller than the sum of its proper divisors (29420014638600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11442220341120 is an equidigital number, since it uses as much as digits as its factorization.

11442220341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220721874 (or 220721853 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11442220341120 its reverse (2114302224411), we get a palindrome (13556522565531).

The spelling of 11442220341120 in words is "eleven trillion, four hundred forty-two billion, two hundred twenty million, three hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 220721843 441443686 662165529 882887372 1103609215 1324331058 1765774744 1986496587 2207218430 2648662116 3310827645 3531549488 3972993174 4414436860 5297324232 5959489761 6621655290 7063098976 7945986348 8828873720 9932482935 10594648464 11918979522 13243310580 14126197952 15891972696 17657747440 17878469283 19864965870 21189296928 23837959044 26486621160 28252395904 29797448805 31783945392 35315494880 35756938566 39729931740 42378593856 47675918088 52973242320 59594897610 63567890784 70630989760 71513877132 79459863480 84757187712 89392346415 95351836176 105946484640 119189795220 127135781568 141261979520 143027754264 158919726960 178784692830 190703672352 211892969280 238379590440 254271563136 286055508528 317839453920 357569385660 381407344704 423785938560 476759180880 572111017056 635678907840 715138771320 762814689408 953518361760 1144222034112 1271357815680 1430277542640 1907036723520 2288444068224 2860555085280 3814073447040 5721110170560 11442220341120