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400273340928 = 2932361281661
BaseRepresentation
bin1011101001100100010…
…01100111101000000000
31102021011201220112020220
411310302021213220000
523024224433402203
6503514422503040
740630101155226
oct5646211475000
91367151815226
10400273340928
1114483395849a
12656aa894a80
132b990163a36
14155325d6b16
15a62a8dd653
hex5d32267a00

400273340928 has 320 divisors, whose sum is σ = 1136699460864. Its totient is φ = 124895232000.

The previous prime is 400273340927. The next prime is 400273340947. The reversal of 400273340928 is 829043372004.

It is a self number, because there is not a number n which added to its sum of digits gives 400273340928.

It is not an unprimeable number, because it can be changed into a prime (400273340927) 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, 605556918 + ... + 605557578.

Almost surely, 2400273340928 is an apocalyptic number.

400273340928 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 400273340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568349730432).

400273340928 is an abundant number, since it is smaller than the sum of its proper divisors (736426119936).

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

400273340928 is a wasteful number, since it uses less digits than its factorization.

400273340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 400273340928 in words is "four hundred billion, two hundred seventy-three million, three hundred forty thousand, nine hundred twenty-eight".