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11440220422320 = 2432516639554537
BaseRepresentation
bin1010011001111010001001…
…0001100100000010110000
31111111200012122001012101100
42212132202101210002300
52444414032412003240
640155321551004400
72260346220060654
oct246364221440260
944450178035340
1011440220422320
113710852200958
121349236809700
1364ca6769c651
142b79d12c2a64
1514c8be0c9e30
hexa67a24640b0

11440220422320 has 120 divisors (see below), whose sum is σ = 38443180478976. Its totient is φ = 3048890655744.

The previous prime is 11440220422283. The next prime is 11440220422361. The reversal of 11440220422320 is 2322402204411.

It is a happy number.

11440220422320 is a `hidden beast` number, since 1 + 1 + 4 + 402 + 20 + 4 + 2 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×114402204223202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3579909 + ... + 5974628.

Almost surely, 211440220422320 is an apocalyptic number.

11440220422320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440220422320 is an abundant number, since it is smaller than the sum of its proper divisors (27002960056656).

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

11440220422320 is a wasteful number, since it uses less digits than its factorization.

11440220422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9556219 (or 9556210 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11440220422320 its reverse (2322402204411), we get a palindrome (13762622626731).

The spelling of 11440220422320 in words is "eleven trillion, four hundred forty billion, two hundred twenty million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1663 3326 4989 6652 8315 9978 13304 14967 16630 19956 24945 26608 29934 33260 39912 49890 59868 66520 74835 79824 99780 119736 133040 149670 199560 239472 299340 399120 598680 1197360 9554537 19109074 28663611 38218148 47772685 57327222 76436296 85990833 95545370 114654444 143318055 152872592 171981666 191090740 229308888 286636110 343963332 382181480 429954165 458617776 573272220 687926664 764362960 859908330 1146544440 1375853328 1719816660 2293088880 3439633320 6879266640 15889195031 31778390062 47667585093 63556780124 79445975155 95335170186 127113560248 143002755279 158891950310 190670340372 238337925465 254227120496 286005510558 317783900620 381340680744 476675850930 572011021116 635567801240 715013776395 762681361488 953351701860 1144022042232 1271135602480 1430027552790 1906703403720 2288044084464 2860055105580 3813406807440 5720110211160 11440220422320