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145360089296 = 24171812952553
BaseRepresentation
bin1000011101100000100…
…0101111000011010000
3111220012101122121221222
42013120020233003100
54340144140324141
6150435535104212
713334105241542
oct2073010570320
9456171577858
10145360089296
1156712a87604
1224208972068
13109271ca176
14706d465692
153bab5a614b
hex21d822f0d0

145360089296 has 40 divisors (see below), whose sum is σ = 299849574024. Its totient is φ = 68026798080.

The previous prime is 145360089289. The next prime is 145360089319. The reversal of 145360089296 is 692980063541.

It can be written as a sum of positive squares in 4 ways, for example, as 34313857600 + 111046231696 = 185240^2 + 333236^2 .

It is a super-2 number, since 2×1453600892962 (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 7 ways as a sum of consecutive naturals, for example, 1427045 + ... + 1525508.

Almost surely, 2145360089296 is an apocalyptic number.

145360089296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145360089296 is an abundant number, since it is smaller than the sum of its proper divisors (154489484728).

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

145360089296 is a wasteful number, since it uses less digits than its factorization.

145360089296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952759 (or 2952753 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 145360089296 in words is "one hundred forty-five billion, three hundred sixty million, eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 362 724 1448 2896 3077 6154 12308 24616 49232 2952553 5905106 11810212 23620424 47240848 50193401 100386802 200773604 401547208 534412093 803094416 1068824186 2137648372 4275296744 8550593488 9085005581 18170011162 36340022324 72680044648 145360089296