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45040342644 = 223211113738239
BaseRepresentation
bin101001111100100111…
…010001011001110100
311022020221100110202200
4221330213101121310
51214220311431034
632405150504500
73153066411213
oct517447213164
9138227313680
1045040342644
1118113110080
12888bb05130
13432a39792b
142273b7107a
15128925ba99
hexa7c9d1674

45040342644 has 36 divisors (see below), whose sum is σ = 124202158080. Its totient is φ = 13648588560.

The previous prime is 45040342621. The next prime is 45040342667. The reversal of 45040342644 is 44624304054.

45040342644 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 0 + 3 + 4 + 2 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (45040342621) and next prime (45040342667).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45040342599 and 45040342608.

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 11 ways as a sum of consecutive naturals, for example, 56868724 + ... + 56869515.

Almost surely, 245040342644 is an apocalyptic number.

45040342644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45040342644 is an abundant number, since it is smaller than the sum of its proper divisors (79161815436).

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

45040342644 is a wasteful number, since it uses less digits than its factorization.

45040342644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113738260 (or 113738255 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 45040342644 its reverse (44624304054), we get a palindrome (89664646698).

The spelling of 45040342644 in words is "forty-five billion, forty million, three hundred forty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 113738239 227476478 341214717 454952956 682429434 1023644151 1251120629 1364858868 2047288302 2502241258 3753361887 4094576604 5004482516 7506723774 11260085661 15013447548 22520171322 45040342644