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442222024416 = 25335912831419
BaseRepresentation
bin1100110111101100111…
…11001001011011100000
31120021110012202102221220
412123312133021123200
524221132314240131
6535053132415040
743643450121054
oct6336637113340
91507405672856
10442222024416
111605aa893257
1271857317480
1332916b63c43
1417591901c64
15b7834ece96
hex66f67c96e0

442222024416 has 48 divisors (see below), whose sum is σ = 1164066422400. Its totient is φ = 146996724608.

The previous prime is 442222024411. The next prime is 442222024427. The reversal of 442222024416 is 614420222244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442222024411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6381246 + ... + 6450173.

It is an arithmetic number, because the mean of its divisors is an integer number (24251383800).

Almost surely, 2442222024416 is an apocalyptic number.

It is an amenable number.

442222024416 is an abundant number, since it is smaller than the sum of its proper divisors (721844397984).

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

442222024416 is a wasteful number, since it uses less digits than its factorization.

442222024416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12831791 (or 12831783 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 442222024416 in words is "four hundred forty-two billion, two hundred twenty-two million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 359 718 1077 1436 2154 2872 4308 5744 8616 11488 17232 34464 12831419 25662838 38494257 51325676 76988514 102651352 153977028 205302704 307954056 410605408 615908112 1231816224 4606479421 9212958842 13819438263 18425917684 27638876526 36851835368 55277753052 73703670736 110555506104 147407341472 221111012208 442222024416