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144024104 = 23719223607
BaseRepresentation
bin10001001010110…
…10001000101000
3101001000011221002
420211122020220
5243332232404
622142534132
73366120230
oct1045321050
9331004832
10144024104
1174330494
1240297348
1323ab8b83
14151b0cc0
15c99dc1e
hex895a228

144024104 has 64 divisors (see below), whose sum is σ = 326860800. Its totient is φ = 58117824.

The previous prime is 144024079. The next prime is 144024113. The reversal of 144024104 is 401420441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236969 + ... + 237575.

It is an arithmetic number, because the mean of its divisors is an integer number (5107200).

Almost surely, 2144024104 is an apocalyptic number.

144024104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144024104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163430400).

144024104 is an abundant number, since it is smaller than the sum of its proper divisors (182836696).

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

144024104 is a wasteful number, since it uses less digits than its factorization.

144024104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 144024104 is about 12001.0042913083. The cubic root of 144024104 is about 524.1775227428.

Adding to 144024104 its reverse (401420441), we get a palindrome (545444545).

The spelling of 144024104 in words is "one hundred forty-four million, twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 223 266 446 532 607 892 1064 1214 1561 1784 2428 3122 4237 4249 4856 6244 8474 8498 11533 12488 16948 16996 23066 29659 33896 33992 46132 59318 80731 92264 118636 135361 161462 237272 270722 322924 541444 645848 947527 1082888 1895054 2571859 3790108 5143718 7580216 10287436 18003013 20574872 36006026 72012052 144024104