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56403401040 = 24325717658303
BaseRepresentation
bin110100100001111001…
…111001100101010000
312101120211221122111100
4310201321321211100
51411003232313130
641524504344400
74034504666310
oct644171714520
9171524848440
1056403401040
1121a14282028
12ab21475100
13541b59b11c
142a30d4b440
151701b13c60
hexd21e79950

56403401040 has 240 divisors, whose sum is σ = 229216186368. Its totient is φ = 12133822464.

The previous prime is 56403401011. The next prime is 56403401077. The reversal of 56403401040 is 4010430465.

56403401040 is a `hidden beast` number, since 5 + 640 + 3 + 4 + 0 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 56403400995 and 56403401013.

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 47 ways as a sum of consecutive naturals, for example, 243472 + ... + 414831.

Almost surely, 256403401040 is an apocalyptic number.

It is an amenable number.

56403401040 is an abundant number, since it is smaller than the sum of its proper divisors (172812785328).

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

56403401040 is a wasteful number, since it uses less digits than its factorization.

56403401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658346 (or 658337 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 56403401040 in words is "fifty-six billion, four hundred three million, four hundred one thousand, forty".