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144358084 = 221317732237
BaseRepresentation
bin10001001101010…
…11101011000100
3101001122011001201
420212223223010
5243423424314
622154032244
73402011023
oct1046535304
9331564051
10144358084
1174539402
1240418684
1323ba4bb0
141525a8ba
15ca17b74
hex89abac4

144358084 has 48 divisors (see below), whose sum is σ = 292139568. Its totient is φ = 61820928.

The previous prime is 144358079. The next prime is 144358091. The reversal of 144358084 is 480853441.

It can be written as a sum of positive squares in 8 ways, for example, as 2985984 + 141372100 = 1728^2 + 11890^2 .

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 15 ways as a sum of consecutive naturals, for example, 63414 + ... + 65650.

It is an arithmetic number, because the mean of its divisors is an integer number (6086241).

Almost surely, 2144358084 is an apocalyptic number.

It is an amenable number.

144358084 is an abundant number, since it is smaller than the sum of its proper divisors (147781484).

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

144358084 is a wasteful number, since it uses less digits than its factorization.

144358084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 144358084 is about 12014.9109027075. The cubic root of 144358084 is about 524.5823847485.

The spelling of 144358084 in words is "one hundred forty-four million, three hundred fifty-eight thousand, eighty-four".

Divisors: 1 2 4 13 17 26 34 52 68 73 146 221 292 442 884 949 1241 1898 2237 2482 3796 4474 4964 8948 16133 29081 32266 38029 58162 64532 76058 116324 152116 163301 326602 494377 653204 988754 1977508 2122913 2776117 4245826 5552234 8491652 11104468 36089521 72179042 144358084