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22141424314404 = 22325065311214219
BaseRepresentation
bin1010000100011001100111…
…01110110010100000100100
32220101200212221002220102100
411002030303232302200210
510400231114111030104
6115031344021012100
74443444064250253
oct502146356624044
986350787086370
1022141424314404
1170671418884aa
1225971a6254030
13c47c0951c985
1456791757a79a
15285e38b2e139
hex142333bb2824

22141424314404 has 36 divisors (see below), whose sum is σ = 55968756938640. Its totient is φ = 7380454122480.

The previous prime is 22141424314319. The next prime is 22141424314411. The reversal of 22141424314404 is 40441342414122.

22141424314404 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 4 + 243 + 1 + 4 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 17628007 + ... + 18842225.

It is an arithmetic number, because the mean of its divisors is an integer number (1554687692740).

Almost surely, 222141424314404 is an apocalyptic number.

It is an amenable number.

22141424314404 is an abundant number, since it is smaller than the sum of its proper divisors (33827332624236).

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

22141424314404 is a wasteful number, since it uses less digits than its factorization.

22141424314404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720760 (or 1720755 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 22141424314404 its reverse (40441342414122), we get a palindrome (62582766728526).

The spelling of 22141424314404 in words is "twenty-two trillion, one hundred forty-one billion, four hundred twenty-four million, three hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 506531 1013062 1214219 1519593 2026124 2428438 3039186 3642657 4558779 4856876 6078372 7285314 9117558 10927971 14570628 18235116 21855942 43711884 615039564289 1230079128578 1845118692867 2460158257156 3690237385734 5535356078601 7380474771468 11070712157202 22141424314404