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360404331156 = 223210011231421
BaseRepresentation
bin1010011111010011100…
…01011010101010010100
31021110021012022222120100
411033221301122222110
521401102002044111
6433322323334100
735016104161152
oct5175161325224
91243235288510
10360404331156
11129934938341
1259a22821330
1327ca82858ac
141362d5a63d2
15959567d756
hex53e9c5aa94

360404331156 has 18 divisors (see below), whose sum is σ = 911022059402. Its totient is φ = 120134777040.

The previous prime is 360404331143. The next prime is 360404331191. The reversal of 360404331156 is 651133404063.

360404331156 is a `hidden beast` number, since 3 + 604 + 0 + 4 + 3 + 31 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338821783056 + 21582548100 = 582084^2 + 146910^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×3604043311563 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10011231421 = 360404331156 / (3 + 6 + 0 + 4 + 0 + 4 + 3 + 3 + 1 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 360404331156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5005615675 + ... + 5005615746.

Almost surely, 2360404331156 is an apocalyptic number.

360404331156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

360404331156 is an abundant number, since it is smaller than the sum of its proper divisors (550617728246).

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

360404331156 is a wasteful number, since it uses less digits than its factorization.

360404331156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011231431 (or 10011231426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 360404331156 in words is "three hundred sixty billion, four hundred four million, three hundred thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 10011231421 20022462842 30033694263 40044925684 60067388526 90101082789 120134777052 180202165578 360404331156