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9142143264 = 253241774233
BaseRepresentation
bin10001000001110101…
…00000100100100000
3212121010112222220200
420200322200210200
5122210342041024
64111055505200
7442356635622
oct104072404440
925533488820
109142143264
113971557601
121931828200
13b2905b037
1462a256c12
153879082c9
hex220ea0920

9142143264 has 72 divisors (see below), whose sum is σ = 26632101132. Its totient is φ = 2973050880.

The previous prime is 9142143259. The next prime is 9142143271. The reversal of 9142143264 is 4623412419.

It can be written as a sum of positive squares in 2 ways, for example, as 6905610000 + 2236533264 = 83100^2 + 47292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 375309 + ... + 398924.

Almost surely, 29142143264 is an apocalyptic number.

It is an amenable number.

9142143264 is an abundant number, since it is smaller than the sum of its proper divisors (17489957868).

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

9142143264 is a wasteful number, since it uses less digits than its factorization.

9142143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774290 (or 774279 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 9142143264 is about 95614.5557119835. Note that the first 3 decimals coincide. The cubic root of 9142143264 is about 2090.9774099453.

The spelling of 9142143264 in words is "nine billion, one hundred forty-two million, one hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 5904 11808 774233 1548466 2322699 3096932 4645398 6193864 6968097 9290796 12387728 13936194 18581592 24775456 27872388 31743553 37163184 55744776 63487106 74326368 95230659 111489552 126974212 190461318 222979104 253948424 285691977 380922636 507896848 571383954 761845272 1015793696 1142767908 1523690544 2285535816 3047381088 4571071632 9142143264