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144890433 = 3241261157
BaseRepresentation
bin10001010001011…
…01101001000001
3101002122012022100
420220231221001
5244042443213
622213301013
73406356042
oct1050555101
9332565270
10144890433
1174872366
1240634769
13240302ac
14153588c9
15cac0773
hex8a2da41

144890433 has 36 divisors (see below), whose sum is σ = 219420604. Its totient is φ = 92102400.

The previous prime is 144890411. The next prime is 144890443. The reversal of 144890433 is 334098441.

144890433 is a `hidden beast` number, since 144 + 89 + 0 + 433 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 98962704 + 45927729 = 9948^2 + 6777^2 .

It is not a de Polignac number, because 144890433 - 25 = 144890401 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144890443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 922791 + ... + 922947.

Almost surely, 2144890433 is an apocalyptic number.

It is an amenable number.

144890433 is a deficient number, since it is larger than the sum of its proper divisors (74530171).

144890433 is a wasteful number, since it uses less digits than its factorization.

144890433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 144890433 is about 12037.0441969779. The cubic root of 144890433 is about 525.2264275000.

The spelling of 144890433 in words is "one hundred forty-four million, eight hundred ninety thousand, four hundred thirty-three".

Divisors: 1 3 9 41 61 123 157 183 369 471 549 1413 1681 2501 5043 6437 7503 9577 15129 19311 22509 28731 57933 86193 102541 263917 307623 392657 791751 922869 1177971 2375253 3533913 16098937 48296811 144890433