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145314445365 = 3354176134499
BaseRepresentation
bin1000011101010101101…
…0100111100000110101
3111220002012202200021000
42013111122213200311
54340100444222430
6150431224513513
713333012256055
oct2072532474065
9456065680230
10145314445365
115669a241651
12241b561b899
131091a90871b
147067383565
153ba758be60
hex21d56a7835

145314445365 has 64 divisors (see below), whose sum is σ = 264993120000. Its totient is φ = 75509222400.

The previous prime is 145314445327. The next prime is 145314445379. The reversal of 145314445365 is 563544413541.

145314445365 is a `hidden beast` number, since 1 + 4 + 53 + 144 + 453 + 6 + 5 = 666.

145314445365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145314445365 - 222 = 145310251061 is a prime.

It is a super-2 number, since 2×1453144453652 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145314445365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4194886 + ... + 4229384.

It is an arithmetic number, because the mean of its divisors is an integer number (4140517500).

Almost surely, 2145314445365 is an apocalyptic number.

145314445365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145314445365 is a deficient number, since it is larger than the sum of its proper divisors (119678674635).

145314445365 is a wasteful number, since it uses less digits than its factorization.

145314445365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35315 (or 35309 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 145314445365 in words is "one hundred forty-five billion, three hundred fourteen million, four hundred forty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 761 1107 1845 2283 3805 5535 6849 11415 20547 31201 34245 34499 93603 102735 103497 156005 172495 280809 310491 468015 517485 842427 931473 1404045 1414459 1552455 4212135 4243377 4657365 7072295 12730131 21216885 26253739 38190393 63650655 78761217 131268695 190951965 236283651 393806085 708850953 1076403299 1181418255 3229209897 3544254765 5382016495 9687629691 16146049485 29062889073 48438148455 145314445365