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40089132048 = 2437631229
BaseRepresentation
bin100101010101011111…
…111001110000010000
310211110212202220200110
4211111133321300100
51124100304211143
630230001121320
72616306000000
oct452537716020
9124425686613
1040089132048
11160022a7299
127929929240
133a1b68c414
141d24370000
151099741533
hex9557f9c10

40089132048 has 280 divisors, whose sum is σ = 125266228480. Its totient is φ = 11036148480.

The previous prime is 40089132019. The next prime is 40089132059. The reversal of 40089132048 is 84023198004.

40089132048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40089131997 and 40089132015.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 175061598 + ... + 175061826.

Almost surely, 240089132048 is an apocalyptic number.

40089132048 is a gapful number since it is divisible by the number (48) 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 40089132048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62633114240).

40089132048 is an abundant number, since it is smaller than the sum of its proper divisors (85177096432).

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

40089132048 is an frugal number, since it uses more digits than its factorization.

40089132048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 40089132048 in words is "forty billion, eighty-nine million, one hundred thirty-two thousand, forty-eight".