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1424256633972 = 2232135532919109
BaseRepresentation
bin10100101110011100010…
…011111000110001110100
312001011020220010110210200
4110232130103320301310
5141313334144241342
63010143334320500
7204620256432354
oct24563423706164
95034226113720
101424256633972
114aa029815427
121b00447b9130
13a43cb129323
144cd11d6ab64
15270ac94594c
hex14b9c4f8c74

1424256633972 has 36 divisors (see below), whose sum is σ = 3600471141540. Its totient is φ = 474717019392.

The previous prime is 1424256633937. The next prime is 1424256634001. The reversal of 1424256633972 is 2793366524241.

1424256633972 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 566 + 3 + 3 + 9 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 921300504336 + 502956129636 = 959844^2 + 709194^2 .

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

It is a super-4 number, since 4×14242566339724 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 971647 + ... + 1947462.

It is an arithmetic number, because the mean of its divisors is an integer number (100013087265).

Almost surely, 21424256633972 is an apocalyptic number.

1424256633972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1424256633972 is an abundant number, since it is smaller than the sum of its proper divisors (2176214507568).

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

1424256633972 is a wasteful number, since it uses less digits than its factorization.

1424256633972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932672 (or 2932667 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 1424256633972 in words is "one trillion, four hundred twenty-four billion, two hundred fifty-six million, six hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 13553 27106 40659 54212 81318 121977 162636 243954 487908 2919109 5838218 8757327 11676436 17514654 26271981 35029308 52543962 105087924 39562684277 79125368554 118688052831 158250737108 237376105662 356064158493 474752211324 712128316986 1424256633972