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400145400153 = 321091066738239
BaseRepresentation
bin1011101001010101000…
…01100100000101011001
31102020211211011110111200
411310222201210011121
523023444210301103
6503454012344413
740623655532112
oct5645241440531
91366754143450
10400145400153
11144778712714
1265673a75109
132b96c7b9635
141551d611209
15a61e56a0a3
hex5d2a864159

400145400153 has 24 divisors (see below), whose sum is σ = 583360377600. Its totient is φ = 264284537184.

The previous prime is 400145400143. The next prime is 400145400157. The reversal of 400145400153 is 351004541004.

It is a happy number.

It is not a de Polignac number, because 400145400153 - 26 = 400145400089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400145400157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10445208 + ... + 10483446.

It is an arithmetic number, because the mean of its divisors is an integer number (24306682400).

Almost surely, 2400145400153 is an apocalyptic number.

It is an amenable number.

400145400153 is a deficient number, since it is larger than the sum of its proper divisors (183214977447).

400145400153 is a wasteful number, since it uses less digits than its factorization.

400145400153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49021 (or 49018 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 400145400153 its reverse (351004541004), we get a palindrome (751149941157).

The spelling of 400145400153 in words is "four hundred billion, one hundred forty-five million, four hundred thousand, one hundred fifty-three".

Divisors: 1 3 9 109 327 981 10667 32001 38239 96003 114717 344151 1162703 3488109 4168051 10464327 12504153 37512459 407895413 1223686239 3671058717 44460600017 133381800051 400145400153