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145356363054 = 2337384540643
BaseRepresentation
bin1000011101011111101…
…0100001010100101110
3111220012010122022112000
42013113322201110232
54340142212104204
6150435323153130
713334031462060
oct2072772412456
9456163568460
10145356363054
1156710971a71
12242076757a6
13109264c40a6
14706cb75730
153bab0bc039
hex21d7ea152e

145356363054 has 32 divisors (see below), whose sum is σ = 369159018240. Its totient is φ = 41530389336.

The previous prime is 145356363023. The next prime is 145356363133. The reversal of 145356363054 is 450363653541.

145356363054 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 5 + 6 + 3 + 630 + 5 + 4 = 666.

145356363054 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453563630542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192269944 + ... + 192270699.

It is an arithmetic number, because the mean of its divisors is an integer number (11536219320).

Almost surely, 2145356363054 is an apocalyptic number.

145356363054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145356363054 is an abundant number, since it is smaller than the sum of its proper divisors (223802655186).

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

145356363054 is a wasteful number, since it uses less digits than its factorization.

145356363054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384540661 (or 384540655 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 145356363054 in words is "one hundred forty-five billion, three hundred fifty-six million, three hundred sixty-three thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 384540643 769081286 1153621929 2307243858 2691784501 3460865787 5383569002 6921731574 8075353503 10382597361 16150707006 20765194722 24226060509 48452121018 72678181527 145356363054