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40531036032 = 2732127449617
BaseRepresentation
bin100101101111110101…
…101000011110000000
310212121200021221222200
4211233311220132000
51131001421123112
630341504433200
72633253056544
oct455765503600
9125550257880
1040531036032
11162097932a3
127a31918800
133a8c0b3076
141d66d21a24
1510c3430cdc
hex96fd68780

40531036032 has 192 divisors, whose sum is σ = 118003392000. Its totient is φ = 13352435712.

The previous prime is 40531036027. The next prime is 40531036109. The reversal of 40531036032 is 23063013504.

It is a happy number.

40531036032 is a `hidden beast` number, since 4 + 0 + 53 + 1 + 0 + 3 + 603 + 2 = 666.

40531036032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 40531035987 and 40531036005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65690188 + ... + 65690804.

It is an arithmetic number, because the mean of its divisors is an integer number (614601000).

Almost surely, 240531036032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40531036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59001696000).

40531036032 is an abundant number, since it is smaller than the sum of its proper divisors (77472355968).

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

40531036032 is a wasteful number, since it uses less digits than its factorization.

40531036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 40531036032 its reverse (23063013504), we get a palindrome (63594049536).

The spelling of 40531036032 in words is "forty billion, five hundred thirty-one million, thirty-six thousand, thirty-two".