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44400000044400 = 2435271113193752579
BaseRepresentation
bin10100001100001101011100…
…01110110000110101110000
312211012121011100021100010220
422012012232032300311300
521304422200002410100
6234233024535253040
712231536251244250
oct1206065616606560
9184177140240126
1044400000044400
1113168a30579430
124b9102621a180
131ba0b95a187b0
14ad6d859cd960
1551ee2c5cdaa0
hex2861ae3b0d70

44400000044400 has 1920 divisors, whose sum is σ = 206450919628800. Its totient is φ = 7849853337600.

The previous prime is 44400000044353. The next prime is 44400000044471. The reversal of 44400000044400 is 444000000444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 844417311 + ... + 844469889.

It is an arithmetic number, because the mean of its divisors is an integer number (107526520640).

Almost surely, 244400000044400 is an apocalyptic number.

44400000044400 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 44400000044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103225459814400).

44400000044400 is an abundant number, since it is smaller than the sum of its proper divisors (162050919584400).

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

44400000044400 is a wasteful number, since it uses less digits than its factorization.

44400000044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52687 (or 52676 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44400000044400 its reverse (444000000444), we get a palindrome (44844000044844).

44400000044400 divided by its reverse (444000000444) gives a square (100 = 102).

It can be divided in two parts, 44400000044 and 400, that added together give a palindrome (44400000444).

The spelling of 44400000044400 in words is "forty-four trillion, four hundred billion, forty-four thousand, four hundred".