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45044253440 = 28565353891
BaseRepresentation
bin101001111100110110…
…001100001100000000
311022021012201011100222
4221330312030030000
51214222312102230
632405410402212
73153144560024
oct517466141400
9138235634328
1045044253440
111811534133a
128891290368
13432b136a04
1422744ac384
1512897806e5
hexa7cd8c300

45044253440 has 72 divisors (see below), whose sum is σ = 108062298288. Its totient is φ = 17989775360.

The previous prime is 45044253433. The next prime is 45044253481. The reversal of 45044253440 is 4435244054.

It is a self number, because there is not a number n which added to its sum of digits gives 45044253440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808895 + ... + 862785.

It is an arithmetic number, because the mean of its divisors is an integer number (1500865254).

Almost surely, 245044253440 is an apocalyptic number.

45044253440 is a gapful number since it is divisible by the number (40) 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 45044253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54031149144).

45044253440 is an abundant number, since it is smaller than the sum of its proper divisors (63018044848).

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

45044253440 is an equidigital number, since it uses as much as digits as its factorization.

45044253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54565 (or 54551 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 45044253440 its reverse (4435244054), we get a palindrome (49479497494).

The spelling of 45044253440 in words is "forty-five billion, forty-four million, two hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 653 1280 1306 2612 3265 5224 6530 10448 13060 20896 26120 41792 52240 53891 83584 104480 107782 167168 208960 215564 269455 417920 431128 538910 835840 862256 1077820 1724512 2155640 3449024 4311280 6898048 8622560 13796096 17245120 34490240 35190823 68980480 70381646 140763292 175954115 281526584 351908230 563053168 703816460 1126106336 1407632920 2252212672 2815265840 4504425344 5630531680 9008850688 11261063360 22522126720 45044253440