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40456299520 = 2105713312801
BaseRepresentation
bin100101101011011000…
…100010010000000000
310212102110122221202201
4211223120202100000
51130323303041040
630330234522544
72631354605050
oct455330422000
9125373587681
1040456299520
111618058768a
127a10896454
133a79776690
141d5b029560
1510bbabba9a
hex96b622400

40456299520 has 352 divisors, whose sum is σ = 123340363776. Its totient is φ = 12386304000.

The previous prime is 40456299487. The next prime is 40456299523. The reversal of 40456299520 is 2599265404.

It is not an unprimeable number, because it can be changed into a prime (40456299523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14442120 + ... + 14444920.

Almost surely, 240456299520 is an apocalyptic number.

40456299520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40456299520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61670181888).

40456299520 is an abundant number, since it is smaller than the sum of its proper divisors (82884064256).

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

40456299520 is a wasteful number, since it uses less digits than its factorization.

40456299520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2859 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 40456299520 in words is "forty billion, four hundred fifty-six million, two hundred ninety-nine thousand, five hundred twenty".