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400514045022 = 2327134753103953
BaseRepresentation
bin1011101010000000111…
…11110101010001011110
31102021210111211120012100
411311000133311101132
523030223043420042
6503554341545530
740636053132360
oct5650037652136
91367714746170
10400514045022
11144947811aa3
12657574152a6
132b9caca01b0
1415556572d30
15a641ad824c
hex5d407f545e

400514045022 has 384 divisors, whose sum is σ = 1123309264896. Its totient is φ = 100341835776.

The previous prime is 400514044907. The next prime is 400514045027. The reversal of 400514045022 is 220540415004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400514045027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 420266098 + ... + 420267050.

It is an arithmetic number, because the mean of its divisors is an integer number (2925284544).

Almost surely, 2400514045022 is an apocalyptic number.

400514045022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400514045022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561654632448).

400514045022 is an abundant number, since it is smaller than the sum of its proper divisors (722795219874).

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

400514045022 is a wasteful number, since it uses less digits than its factorization.

400514045022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 400514045022 in words is "four hundred billion, five hundred fourteen million, forty-five thousand, twenty-two".