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144436842 = 232114191741
BaseRepresentation
bin10001001101111…
…10111001101010
3101001210011002200
420212332321222
5243433434332
622155441030
73402456444
oct1046767152
9331704080
10144436842
11745925a0
1240456176
1323c019b4
141527b494
15ca3117c
hex89bee6a

144436842 has 48 divisors (see below), whose sum is σ = 342407520. Its totient is φ = 43639200.

The previous prime is 144436823. The next prime is 144436847. The reversal of 144436842 is 248634441.

144436842 is a `hidden beast` number, since 144 + 436 + 84 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 144436797 and 144436806.

It is not an unprimeable number, because it can be changed into a prime (144436847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82092 + ... + 83832.

It is an arithmetic number, because the mean of its divisors is an integer number (7133490).

Almost surely, 2144436842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144436842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171203760).

144436842 is an abundant number, since it is smaller than the sum of its proper divisors (197970678).

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

144436842 is a wasteful number, since it uses less digits than its factorization.

144436842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2176 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 144436842 is about 12018.1879665780. The cubic root of 144436842 is about 524.6777668869.

The spelling of 144436842 in words is "one hundred forty-four million, four hundred thirty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 419 838 1257 1741 2514 3482 3771 4609 5223 7542 9218 10446 13827 15669 19151 27654 31338 38302 41481 57453 82962 114906 172359 344718 729479 1458958 2188437 4376874 6565311 8024269 13130622 16048538 24072807 48145614 72218421 144436842