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45440224032 = 2537211320471
BaseRepresentation
bin101010010100011100…
…101100101100100000
311100021210210112220110
4222110130230230200
51221030144132112
632512553411320
73166023350160
oct522434545440
9140253715813
1045440224032
11182a8904965
128981a09b40
134392197238
1422b0d045a0
1512ae3ea13c
hexa9472cb20

45440224032 has 96 divisors (see below), whose sum is σ = 136967169024. Its totient is φ = 12921350400.

The previous prime is 45440223989. The next prime is 45440224043. The reversal of 45440224032 is 23042204454.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18444 + ... + 302027.

It is an arithmetic number, because the mean of its divisors is an integer number (1426741344).

Almost surely, 245440224032 is an apocalyptic number.

45440224032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45440224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68483584512).

45440224032 is an abundant number, since it is smaller than the sum of its proper divisors (91526944992).

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

45440224032 is a wasteful number, since it uses less digits than its factorization.

45440224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320702 (or 320694 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 45440224032 its reverse (23042204454), we get a palindrome (68482428486).

The spelling of 45440224032 in words is "forty-five billion, four hundred forty million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 70896 141792 320471 640942 961413 1281884 1922826 2243297 2563768 3845652 4486594 5127536 6729891 7691304 8973188 10255072 13459782 15382608 17946376 26919564 30765216 35892752 53839128 67619381 71785504 107678256 135238762 202858143 215356512 270477524 405716286 473335667 540955048 811432572 946671334 1081910096 1420007001 1622865144 1893342668 2163820192 2840014002 3245730288 3786685336 5680028004 6491460576 7573370672 11360056008 15146741344 22720112016 45440224032