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120442144 = 2517221401
BaseRepresentation
bin1110010110111…
…00110100100000
322101122002120011
413023130310200
5221313122034
615541254304
72661512164
oct713346440
9271562504
10120442144
1161a93a69
1234404394
131bc50254
1411dd2ca4
15a891864
hex72dcd20

120442144 has 24 divisors (see below), whose sum is σ = 251069868. Its totient is φ = 56678400.

The previous prime is 120442111. The next prime is 120442171. The reversal of 120442144 is 441244021.

It can be written as a sum of positive squares in 2 ways, for example, as 107910544 + 12531600 = 10388^2 + 3540^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110157 + ... + 111244.

Almost surely, 2120442144 is an apocalyptic number.

It is an amenable number.

120442144 is an abundant number, since it is smaller than the sum of its proper divisors (130627724).

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

120442144 is a wasteful number, since it uses less digits than its factorization.

120442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221428 (or 221420 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 120442144 is about 10974.6136150664. The cubic root of 120442144 is about 493.8474617413.

Adding to 120442144 its reverse (441244021), we get a palindrome (561686165).

The spelling of 120442144 in words is "one hundred twenty million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 221401 442802 885604 1771208 3542416 3763817 7084832 7527634 15055268 30110536 60221072 120442144