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244227239424 = 2935735997
BaseRepresentation
bin1110001101110100010…
…0111110111000000000
3212100101121122020100000
43203131010332320000
513000134133130144
6304110233200000
723434115166000
oct3433504767000
9770347566300
10244227239424
1194637a00843
123b3bb260000
131a0520c6a2c
14bb6bc76000
15654611b769
hex38dd13ee00

244227239424 has 960 divisors, whose sum is σ = 875818944000. Its totient is φ = 67889332224.

The previous prime is 244227239411. The next prime is 244227239447. The reversal of 244227239424 is 424932722442.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1548288) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 244227239424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2517806544 + ... + 2517806640.

It is an arithmetic number, because the mean of its divisors is an integer number (912311400).

Almost surely, 2244227239424 is an apocalyptic number.

244227239424 is a gapful number since it is divisible by the number (24) 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 244227239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437909472000).

244227239424 is an abundant number, since it is smaller than the sum of its proper divisors (631591704576).

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

244227239424 is an frugal number, since it uses more digits than its factorization.

244227239424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 168 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 244227239424 in words is "two hundred forty-four billion, two hundred twenty-seven million, two hundred thirty-nine thousand, four hundred twenty-four".