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145709347365 = 3354217255947
BaseRepresentation
bin1000011110110011110…
…1000011001000100101
3111221002201211202222000
42013230331003020211
54341403043103430
6150534332555513
713345546005621
oct2075475031045
9457081752860
10145709347365
115688214533a
12242a5922b99
131098168374a
1470a39bc181
153bcc094e60
hex21ecf43225

145709347365 has 32 divisors (see below), whose sum is σ = 259101279360. Its totient is φ = 77692920192.

The previous prime is 145709347349. The next prime is 145709347379. The reversal of 145709347365 is 563743907541.

145709347365 is a `hidden beast` number, since 1 + 4 + 570 + 9 + 3 + 4 + 7 + 3 + 65 = 666.

It is not a de Polignac number, because 145709347365 - 24 = 145709347349 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441322 + ... + 697268.

It is an arithmetic number, because the mean of its divisors is an integer number (8096914980).

Almost surely, 2145709347365 is an apocalyptic number.

145709347365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145709347365 is a deficient number, since it is larger than the sum of its proper divisors (113391931995).

145709347365 is a wasteful number, since it uses less digits than its factorization.

145709347365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260178 (or 260172 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 145709347365 in words is "one hundred forty-five billion, seven hundred nine million, three hundred forty-seven thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 4217 12651 21085 37953 63255 113859 189765 255947 569295 767841 1279735 2303523 3839205 6910569 11517615 34552845 1079328499 3237985497 5396642495 9713956491 16189927485 29141869473 48569782455 145709347365