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145346044365 = 32516719340791
BaseRepresentation
bin1000011101011101001…
…1001010000111001101
3111220011102020001221100
42013113103022013031
54340132041404430
6150434314053313
713333544664324
oct2072723120715
9456142201840
10145346044365
1156706064425
122420411a239
1310924320462
14706b64b0bb
153baa22e960
hex21d74ca1cd

145346044365 has 24 divisors (see below), whose sum is σ = 253441738368. Its totient is φ = 77053707360.

The previous prime is 145346044351. The next prime is 145346044369. The reversal of 145346044365 is 563440643541.

145346044365 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 4 + 604 + 4 + 36 + 5 = 666.

145346044365 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 145346044365 - 27 = 145346044237 is a prime.

It is a super-2 number, since 2×1453460443652 (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 145346044365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145346044369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9662881 + ... + 9677910.

It is an arithmetic number, because the mean of its divisors is an integer number (10560072432).

Almost surely, 2145346044365 is an apocalyptic number.

145346044365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145346044365 is a deficient number, since it is larger than the sum of its proper divisors (108095694003).

145346044365 is a wasteful number, since it uses less digits than its factorization.

145346044365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340969 (or 19340966 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

It can be divided in two parts, 14534604 and 4365, that added together give a square (14538969 = 38132).

The spelling of 145346044365 in words is "one hundred forty-five billion, three hundred forty-six million, forty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 167 501 835 1503 2505 7515 19340791 58022373 96703955 174067119 290111865 870335595 3229912097 9689736291 16149560485 29069208873 48448681455 145346044365