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44286444400 = 24521110065101
BaseRepresentation
bin101001001111101011…
…011000001101110000
311020022101202110210111
4221033223120031300
51211144312210100
632202300111104
73125313365152
oct511753301560
9136271673714
1044286444400
11178665a8180
1286bb535494
13423a1369b3
1422019a6ad2
151242e8e6ba
hexa4fad8370

44286444400 has 60 divisors (see below), whose sum is σ = 116070756264. Its totient is φ = 16104160000.

The previous prime is 44286444379. The next prime is 44286444401. The reversal of 44286444400 is 444468244.

44286444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×442864444002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44286444401) 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, 5028151 + ... + 5036950.

Almost surely, 244286444400 is an apocalyptic number.

44286444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44286444400 is an abundant number, since it is smaller than the sum of its proper divisors (71784311864).

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

44286444400 is a wasteful number, since it uses less digits than its factorization.

44286444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065130 (or 10065119 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 44286444400 in words is "forty-four billion, two hundred eighty-six million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 10065101 20130202 40260404 50325505 80520808 100651010 110716111 161041616 201302020 221432222 251627525 402604040 442864444 503255050 553580555 805208080 885728888 1006510100 1107161110 1771457776 2013020200 2214322220 2767902775 4026040400 4428644440 5535805550 8857288880 11071611100 22143222200 44286444400