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145700345790 = 23251618892731
BaseRepresentation
bin1000011110110001101…
…0101101011110111110
3111221002002220110010100
42013230122231132332
54341343242031130
6150533412021530
713345406335146
oct2075432553676
9457062813110
10145700345790
115687805731a
12242a29018a6
131097c85147c
1470a2717926
153bcb3b7c60
hex21ec6ad7be

145700345790 has 24 divisors (see below), whose sum is σ = 378820899288. Its totient is φ = 38853425520.

The previous prime is 145700345773. The next prime is 145700345797. The reversal of 145700345790 is 97543007541.

145700345790 is a `hidden beast` number, since 1 + 4 + 5 + 70 + 0 + 3 + 4 + 579 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145700345797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 809446276 + ... + 809446455.

It is an arithmetic number, because the mean of its divisors is an integer number (15784204137).

Almost surely, 2145700345790 is an apocalyptic number.

145700345790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145700345790 is an abundant number, since it is smaller than the sum of its proper divisors (233120553498).

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

145700345790 is a wasteful number, since it uses less digits than its factorization.

145700345790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618892744 (or 1618892741 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 145700345790 in words is "one hundred forty-five billion, seven hundred million, three hundred forty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1618892731 3237785462 4856678193 8094463655 9713356386 14570034579 16188927310 24283390965 29140069158 48566781930 72850172895 145700345790