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240428129922 = 23247224592
BaseRepresentation
bin1101111111101010100…
…0100001111010000010
3211222120211221110211200
43133322220201322002
512414344100124142
6302241241122030
723241014246001
oct3377250417202
9758524843750
10240428129922
1192a68458622
123a71aa89316
1319897cb1a46
14b8cb496c38
1563c282964c
hex37faa21e82

240428129922 has 54 divisors (see below), whose sum is σ = 532463538243. Its totient is φ = 78405647784.

The previous prime is 240428129863. The next prime is 240428129923. The reversal of 240428129922 is 229921824042.

240428129922 is a `hidden beast` number, since 240 + 42 + 81 + 299 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120214064961 + 120214064961 = 346719^2 + 346719^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=346719.

It is a super-2 number, since 2×2404281299222 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240428129923) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97773529 + ... + 97775987.

Almost surely, 2240428129922 is an apocalyptic number.

240428129922 is an abundant number, since it is smaller than the sum of its proper divisors (292035408321).

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

240428129922 is an frugal number, since it uses more digits than its factorization.

240428129922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 240428129922 in words is "two hundred forty billion, four hundred twenty-eight million, one hundred twenty-nine thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 2209 2459 4418 4918 6627 7377 13254 14754 19881 22131 39762 44262 115573 231146 346719 693438 1040157 2080314 5431931 6046681 10863862 12093362 16295793 18140043 32591586 36280086 48887379 54420129 97774758 108840258 284194007 568388014 852582021 1705164042 2557746063 5115492126 13357118329 26714236658 40071354987 80142709974 120214064961 240428129922