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145563142104 = 23322021710307
BaseRepresentation
bin1000011110010000111…
…1010100011111011000
3111220201112201210001100
42013210033110133120
54341103131021404
6150512031151400
713342122202332
oct2074417243730
9456645653040
10145563142104
1156807665146
1224264975560
131095a2b2b63
14708c400452
153bbe314d39
hex21e43d47d8

145563142104 has 24 divisors (see below), whose sum is σ = 394233510060. Its totient is φ = 48521047344.

The previous prime is 145563142103. The next prime is 145563142111. The reversal of 145563142104 is 401241365541.

145563142104 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 631 + 4 + 2 + 10 + 4 = 666.

145563142104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145563142103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010855082 + ... + 1010855225.

Almost surely, 2145563142104 is an apocalyptic number.

It is an amenable number.

145563142104 is an abundant number, since it is smaller than the sum of its proper divisors (248670367956).

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

145563142104 is a wasteful number, since it uses less digits than its factorization.

145563142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021710319 (or 2021710312 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 145563142104 in words is "one hundred forty-five billion, five hundred sixty-three million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2021710307 4043420614 6065130921 8086841228 12130261842 16173682456 18195392763 24260523684 36390785526 48521047368 72781571052 145563142104