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144100681 = 2329375839
BaseRepresentation
bin10001001011011…
…00110101001001
3101001011001222021
420211230311021
5243342210211
622144324441
73366556414
oct1045546511
9331131867
10144100681
1174382a7a
1240313721
1323b1499a
14151d0b7b
15c9b6771
hex896cd49

144100681 has 16 divisors (see below), whose sum is σ = 159782400. Its totient is φ = 129463488.

The previous prime is 144100673. The next prime is 144100703. The reversal of 144100681 is 186001441.

144100681 = T295 + T296 + ... + T961.

It is a cyclic number.

It is not a de Polignac number, because 144100681 - 23 = 144100673 is a prime.

It is a super-2 number, since 2×1441006812 = 41530012529327522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144103681) by changing a digit.

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, 21760 + ... + 27598.

It is an arithmetic number, because the mean of its divisors is an integer number (9986400).

Almost surely, 2144100681 is an apocalyptic number.

It is an amenable number.

144100681 is a deficient number, since it is larger than the sum of its proper divisors (15681719).

144100681 is a wasteful number, since it uses less digits than its factorization.

144100681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928.

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 144100681 is about 12004.1943086573. The cubic root of 144100681 is about 524.2704072648.

The spelling of 144100681 in words is "one hundred forty-four million, one hundred thousand, six hundred eighty-one".

Divisors: 1 23 29 37 667 851 1073 5839 24679 134297 169331 216043 3894613 4968989 6265247 144100681