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44445442400 = 255261390631
BaseRepresentation
bin101001011001001001…
…111010000101100000
311020201110221102001022
4221121021322011200
51212011013124100
632230140025012
73132254012162
oct513111720540
9136643842038
1044445442400
1117938325787
128744832168
134264066358
142218b54932
151251de9e85
hexa5927a160

44445442400 has 72 divisors (see below), whose sum is σ = 108680637744. Its totient is φ = 17748979200.

The previous prime is 44445442399. The next prime is 44445442429. The reversal of 44445442400 is 424454444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445085 + ... + 535715.

It is an arithmetic number, because the mean of its divisors is an integer number (1509453302).

Almost surely, 244445442400 is an apocalyptic number.

44445442400 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 44445442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54340318872).

44445442400 is an abundant number, since it is smaller than the sum of its proper divisors (64235195344).

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

44445442400 is a wasteful number, since it uses less digits than its factorization.

44445442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91264 (or 91251 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 35.

Adding to 44445442400 its reverse (424454444), we get a palindrome (44869896844).

The spelling of 44445442400 in words is "forty-four billion, four hundred forty-five million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 613 800 1226 2452 3065 4904 6130 9808 12260 15325 19616 24520 30650 49040 61300 90631 98080 122600 181262 245200 362524 453155 490400 725048 906310 1450096 1812620 2265775 2900192 3625240 4531550 7250480 9063100 14500960 18126200 36252400 55556803 72504800 111113606 222227212 277784015 444454424 555568030 888908848 1111136060 1388920075 1777817696 2222272120 2777840150 4444544240 5555680300 8889088480 11111360600 22222721200 44445442400