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465453440145 = 325647224709
BaseRepresentation
bin1101100010111110010…
…11111101110010010001
31122111102020202122020200
412301133023331302101
530111222040041040
6553454254325413
745425240651061
oct6613713756221
91574366678220
10465453440145
1116a441372791
127625b4b9869
1334b79b59895
141875702d3a1
15c192cc0630
hex6c5f2fdc91

465453440145 has 36 divisors (see below), whose sum is σ = 808067556660. Its totient is φ = 247848122304.

The previous prime is 465453440143. The next prime is 465453440161. The reversal of 465453440145 is 541044354564.

465453440145 is a `hidden beast` number, since 4 + 65 + 4 + 5 + 3 + 440 + 145 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 241152691329 + 224300748816 = 491073^2 + 473604^2 .

It is not a de Polignac number, because 465453440145 - 21 = 465453440143 is a prime.

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 465453440145.

It is not an unprimeable number, because it can be changed into a prime (465453440143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18825051 + ... + 18849759.

Almost surely, 2465453440145 is an apocalyptic number.

465453440145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465453440145 is a deficient number, since it is larger than the sum of its proper divisors (342614116515).

465453440145 is an equidigital number, since it uses as much as digits as its factorization.

465453440145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26014 (or 25364 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 465453440145 in words is "four hundred sixty-five billion, four hundred fifty-three million, four hundred forty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 647 1941 3235 5823 9705 24709 29115 74127 123545 222381 370635 418609 1111905 1255827 2093045 3767481 6279135 15986723 18837405 47960169 79933615 143880507 239800845 719402535 10343409781 31030229343 51717048905 93090688029 155151146715 465453440145