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444422225432520 = 2332510734073386393
BaseRepresentation
bin110010100001100110001110…
…0111000001000111111001000
32011021120100110000112011010200
41211003030130320020333020
5431222403204202320040
64213112430221412200
7162416306021662536
oct14503143470107710
92137510400464120
10444422225432520
11119674453214085
1241a1800810a060
13160c9ab39c157a
147ba6216cc9156
15365a696a0c630
hex194331ce08fc8

444422225432520 has 192 divisors, whose sum is σ = 1458299373822720. Its totient is φ = 117370504522752.

The previous prime is 444422225432477. The next prime is 444422225432567. The reversal of 444422225432520 is 25234522224444.

444422225432520 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 22 + 22 + 54 + 32 + 520 = 666.

It is a super-3 number, since 3×4444222254325203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129544444 + ... + 132930836.

It is an arithmetic number, because the mean of its divisors is an integer number (7595309238660).

Almost surely, 2444422225432520 is an apocalyptic number.

444422225432520 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 444422225432520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729149686911360).

444422225432520 is an abundant number, since it is smaller than the sum of its proper divisors (1013877148390200).

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

444422225432520 is a wasteful number, since it uses less digits than its factorization.

444422225432520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389924 (or 3389917 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 45.

Adding to 444422225432520 its reverse (25234522224444), we get a palindrome (469656747656964).

The spelling of 444422225432520 in words is "four hundred forty-four trillion, four hundred twenty-two billion, two hundred twenty-five million, four hundred thirty-two thousand, five hundred twenty".