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145890476001 = 3329186322447
BaseRepresentation
bin1000011111011110111…
…1111111111111100001
3111221120100200001202000
42013313233333333201
54342240430213001
6151004323114213
713353205404504
oct2076757777741
9457510601660
10145890476001
1156965408a26
1224336512969
13109b006125a
1470bda8b13b
153bdce22a86
hex21f7bfffe1

145890476001 has 16 divisors (see below), whose sum is σ = 223586937600. Its totient is φ = 93906512784.

The previous prime is 145890475987. The next prime is 145890476003. The reversal of 145890476001 is 100674098541.

145890476001 is a `hidden beast` number, since 1 + 4 + 589 + 0 + 4 + 7 + 60 + 0 + 1 = 666.

It is not a de Polignac number, because 145890476001 - 213 = 145890467809 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145890476003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93160441 + ... + 93162006.

It is an arithmetic number, because the mean of its divisors is an integer number (13974183600).

Almost surely, 2145890476001 is an apocalyptic number.

It is an amenable number.

145890476001 is a deficient number, since it is larger than the sum of its proper divisors (77696461599).

145890476001 is a wasteful number, since it uses less digits than its factorization.

145890476001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186322485 (or 186322479 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 145890476001 in words is "one hundred forty-five billion, eight hundred ninety million, four hundred seventy-six thousand, one".

Divisors: 1 3 9 27 29 87 261 783 186322447 558967341 1676902023 5030706069 5403350963 16210052889 48630158667 145890476001