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146400455125 = 531665770313
BaseRepresentation
bin1000100001011000100…
…1011010100111010101
3111222212220021200120201
42020112021122213111
54344312004031000
6151131101500501
713401640223221
oct2102611324725
9458786250521
10146400455125
11570a7270881
1224459271731
1310a618cb552
14712b6bd781
153c1caac96a
hex221625a9d5

146400455125 has 16 divisors (see below), whose sum is σ = 182721335472. Its totient is φ = 117111667200.

The previous prime is 146400455101. The next prime is 146400455191. The reversal of 146400455125 is 521554004641.

It can be written as a sum of positive squares in 8 ways, for example, as 51355264689 + 95045190436 = 226617^2 + 308294^2 .

It is not a de Polignac number, because 146400455125 - 217 = 146400324053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2046969 + ... + 2117281.

It is an arithmetic number, because the mean of its divisors is an integer number (11420083467).

Almost surely, 2146400455125 is an apocalyptic number.

It is an amenable number.

146400455125 is a deficient number, since it is larger than the sum of its proper divisors (36320880347).

146400455125 is an equidigital number, since it uses as much as digits as its factorization.

146400455125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86985 (or 86975 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

Adding to 146400455125 its reverse (521554004641), we get a palindrome (667954459766).

The spelling of 146400455125 in words is "one hundred forty-six billion, four hundred million, four hundred fifty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 16657 70313 83285 351565 416425 1757825 2082125 8789125 1171203641 5856018205 29280091025 146400455125