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145734716304 = 24322027499283
BaseRepresentation
bin1000011110111001110…
…1110100101110010000
3111221011111120122121100
42013232131310232100
54341431041410204
6150541040424400
713346304435552
oct2075635645620
9457144518540
10145734716304
11568954a2401
12242b2318100
13109869c6858
1470a71034d2
153bce406a39
hex21ee774b90

145734716304 has 60 divisors (see below), whose sum is σ = 408056824656. Its totient is φ = 48554175936.

The previous prime is 145734716293. The next prime is 145734716339. The reversal of 145734716304 is 403617437541.

145734716304 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 3 + 4 + 7 + 1 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145734716304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42247 + ... + 541529.

Almost surely, 2145734716304 is an apocalyptic number.

It is an amenable number.

145734716304 is an abundant number, since it is smaller than the sum of its proper divisors (262322108352).

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

145734716304 is a wasteful number, since it uses less digits than its factorization.

145734716304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501324 (or 501315 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 145734716304 in words is "one hundred forty-five billion, seven hundred thirty-four million, seven hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2027 4054 6081 8108 12162 16216 18243 24324 32432 36486 48648 72972 97296 145944 291888 499283 998566 1497849 1997132 2995698 3994264 4493547 5991396 7988528 8987094 11982792 17974188 23965584 35948376 71896752 1012046641 2024093282 3036139923 4048186564 6072279846 8096373128 9108419769 12144559692 16192746256 18216839538 24289119384 36433679076 48578238768 72867358152 145734716304