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3111145920 = 263251080259
BaseRepresentation
bin1011100101110000…
…0101000111000000
322000211011120212200
42321130011013000
522332423132140
61232414353200
7140045206161
oct27134050700
98024146780
103111145920
111357184a83
12729abb800
133a772b35c
14217299768
151331eb030
hexb97051c0

3111145920 has 84 divisors (see below), whose sum is σ = 10701055560. Its totient is φ = 829638144.

The previous prime is 3111145909. The next prime is 3111145949. The reversal of 3111145920 is 295411113.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537250 + ... + 543009.

Almost surely, 23111145920 is an apocalyptic number.

3111145920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3111145920 is an abundant number, since it is smaller than the sum of its proper divisors (7589909640).

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

3111145920 is a wasteful number, since it uses less digits than its factorization.

3111145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080282 (or 1080269 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 3111145920 is about 55777.6471357478. The cubic root of 3111145920 is about 1459.8451577826.

The spelling of 3111145920 in words is "three billion, one hundred eleven million, one hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 1080259 2160518 3240777 4321036 5401295 6481554 8642072 9722331 10802590 12963108 16203885 17284144 19444662 21605180 25926216 32407770 34568288 38889324 43210360 48611655 51852432 64815540 69136576 77778648 86420720 97223310 103704864 129631080 155557296 172841440 194446620 207409728 259262160 311114592 345682880 388893240 518524320 622229184 777786480 1037048640 1555572960 3111145920