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44252354304 = 283294120411
BaseRepresentation
bin101001001101101001…
…010101011100000000
311020020000121111222100
4221031221111130000
51211112100314204
632155041310400
73124420543134
oct511551253400
9136200544870
1044252354304
1117849333844
1286b0035400
13423305c142
1421db2513c4
15123eea8a39
hexa4da55700

44252354304 has 108 divisors (see below), whose sum is σ = 127732294872. Its totient is φ = 14734387200.

The previous prime is 44252354287. The next prime is 44252354309. The reversal of 44252354304 is 40345325244.

It is a super-2 number, since 2×442523543042 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44252354309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2157859 + ... + 2178269.

It is an arithmetic number, because the mean of its divisors is an integer number (1182706434).

Almost surely, 244252354304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44252354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866147436).

44252354304 is an abundant number, since it is smaller than the sum of its proper divisors (83479940568).

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

44252354304 is a wasteful number, since it uses less digits than its factorization.

44252354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21374 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 44252354304 its reverse (40345325244), we get a palindrome (84597679548).

The spelling of 44252354304 in words is "forty-four billion, two hundred fifty-two million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 941 1152 1882 2304 2823 3764 5646 7528 8469 11292 15056 16938 20411 22584 30112 33876 40822 45168 60224 61233 67752 81644 90336 120448 122466 135504 163288 180672 183699 240896 244932 271008 326576 361344 367398 489864 542016 653152 722688 734796 979728 1084032 1306304 1469592 1959456 2168064 2612608 2939184 3918912 5225216 5878368 7837824 11756736 15675648 19206751 23513472 38413502 47026944 57620253 76827004 115240506 153654008 172860759 230481012 307308016 345721518 460962024 614616032 691443036 921924048 1229232064 1382886072 1843848096 2458464128 2765772144 3687696192 4916928256 5531544288 7375392384 11063088576 14750784768 22126177152 44252354304