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45414041454 = 2326773726739
BaseRepresentation
bin101010010010111000…
…110100011101101110
311100012222112100011100
4222102320310131232
51221001443311304
632510220303530
73165254661135
oct522270643556
9140188470140
1045414041454
1118295051571
1289750a1ba6
13438992a9a2
1422ab64a91c
1512abe77439
hexa92e3476e

45414041454 has 24 divisors (see below), whose sum is σ = 98542459080. Its totient is φ = 15115649328.

The previous prime is 45414041437. The next prime is 45414041459.

45414041454 is a `hidden beast` number, since 4 + 54 + 140 + 414 + 54 = 666.

45414041454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×454140414542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45414041459) 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 11 ways as a sum of consecutive naturals, for example, 1851184 + ... + 1875555.

It is an arithmetic number, because the mean of its divisors is an integer number (4105935795).

Almost surely, 245414041454 is an apocalyptic number.

45414041454 is an abundant number, since it is smaller than the sum of its proper divisors (53128417626).

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

45414041454 is a wasteful number, since it uses less digits than its factorization.

45414041454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727424 (or 3727421 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

It can be divided in two parts, 454140 and 41454, that added together give a palindrome (495594).

The spelling of 45414041454 in words is "forty-five billion, four hundred fourteen million, forty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 677 1354 2031 4062 6093 12186 3726739 7453478 11180217 22360434 33540651 67081302 2523002303 5046004606 7569006909 15138013818 22707020727 45414041454