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22416142128 = 2434021116141
BaseRepresentation
bin10100111000000110…
…110010111100110000
32010212012221000011020
4110320012302330300
5331402013022003
614144155415440
71422331031022
oct247006627460
963765830136
1022416142128
1195633673a6
124417154580
132163125a33
141129148012
158b2e2ed53
hex5381b2f30

22416142128 has 40 divisors (see below), whose sum is σ = 57923267376. Its totient is φ = 7470124800.

The previous prime is 22416142121. The next prime is 22416142141. The reversal of 22416142128 is 82124161422.

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

It is not an unprimeable number, because it can be changed into a prime (22416142121) 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, 134938 + ... + 251078.

Almost surely, 222416142128 is an apocalyptic number.

It is an amenable number.

22416142128 is an abundant number, since it is smaller than the sum of its proper divisors (35507125248).

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

22416142128 is a wasteful number, since it uses less digits than its factorization.

22416142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120173 (or 120167 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The spelling of 22416142128 in words is "twenty-two billion, four hundred sixteen million, one hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 4021 8042 12063 16084 24126 32168 48252 64336 96504 116141 193008 232282 348423 464564 696846 929128 1393692 1858256 2787384 5574768 467002961 934005922 1401008883 1868011844 2802017766 3736023688 5604035532 7472047376 11208071064 22416142128