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1138157424 = 243279100049
BaseRepresentation
bin100001111010110…
…1110011101110000
32221022122101110200
41003311232131300
54312332014144
6304534355200
740130115135
oct10365563560
92838571420
101138157424
11534507578
122791bbb00
13151a50941
14ab23258c
1569dc1c69
hex43d6e770

1138157424 has 60 divisors (see below), whose sum is σ = 3225612000. Its totient is φ = 374579712.

The previous prime is 1138157401. The next prime is 1138157441. The reversal of 1138157424 is 4247518311.

1138157424 is a `hidden beast` number, since 1 + 1 + 3 + 81 + 574 + 2 + 4 = 666.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 38649 + ... + 61400.

It is an arithmetic number, because the mean of its divisors is an integer number (53760200).

Almost surely, 21138157424 is an apocalyptic number.

It is an amenable number.

1138157424 is an abundant number, since it is smaller than the sum of its proper divisors (2087454576).

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

1138157424 is a wasteful number, since it uses less digits than its factorization.

1138157424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100142 (or 100133 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1138157424 is about 33736.5888020707. The cubic root of 1138157424 is about 1044.0808058298.

The spelling of 1138157424 in words is "one billion, one hundred thirty-eight million, one hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 100049 200098 300147 400196 600294 800392 900441 1200588 1600784 1800882 2401176 3601764 4802352 7203528 7903871 14407056 15807742 23711613 31615484 47423226 63230968 71134839 94846452 126461936 142269678 189692904 284539356 379385808 569078712 1138157424