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144436041 = 37211313
BaseRepresentation
bin10001001101111…
…10101101001001
3101001210010000000
420212332231021
5243433423131
622155433213
73402454221
oct1046765511
9331703000
10144436041
1174591a32
1240455809
1323c01519
141527b081
15ca30ce6
hex89beb49

144436041 has 32 divisors (see below), whose sum is σ = 218343040. Its totient is φ = 95528160.

The previous prime is 144436031. The next prime is 144436109. The reversal of 144436041 is 140634441.

144436041 is a `hidden beast` number, since 14 + 4 + 43 + 604 + 1 = 666.

It is not a de Polignac number, because 144436041 - 226 = 77327177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144435996 and 144436014.

It is not an unprimeable number, because it can be changed into a prime (144436031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461301 + ... + 461613.

It is an arithmetic number, because the mean of its divisors is an integer number (6823220).

Almost surely, 2144436041 is an apocalyptic number.

It is an amenable number.

144436041 is a deficient number, since it is larger than the sum of its proper divisors (73906999).

144436041 is an frugal number, since it uses more digits than its factorization.

144436041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144436041 is about 12018.1546420405. The cubic root of 144436041 is about 524.6767969874.

The spelling of 144436041 in words is "one hundred forty-four million, four hundred thirty-six thousand, forty-one".

Divisors: 1 3 9 27 81 211 243 313 633 729 939 1899 2187 2817 5697 8451 17091 25353 51273 66043 76059 153819 198129 228177 461457 594387 684531 1783161 5349483 16048449 48145347 144436041