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40852088000 = 2653171312293
BaseRepresentation
bin100110000010111110…
…010110010011000000
310220110001102002111022
4212002332112103000
51132131113304000
630433414005012
72644232006243
oct460276262300
9126401362438
1040852088000
1116363a363a9
127b01346768
133b10772049
141d9781525a
1510e16ec585
hex982f964c0

40852088000 has 224 divisors, whose sum is σ = 107986177728. Its totient is φ = 15255552000.

The previous prime is 40852087957. The next prime is 40852088033. The reversal of 40852088000 is 88025804.

It is a super-3 number, since 3×408520880003 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17814854 + ... + 17817146.

Almost surely, 240852088000 is an apocalyptic number.

40852088000 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 40852088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53993088864).

40852088000 is an abundant number, since it is smaller than the sum of its proper divisors (67134089728).

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

40852088000 is a wasteful number, since it uses less digits than its factorization.

40852088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 40852088000 in words is "forty billion, eight hundred fifty-two million, eighty-eight thousand".