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144199616 = 2611257797
BaseRepresentation
bin10001001100001…
…00111111000000
3101001100002200112
420212010333000
5243403341431
622150410452
73400451021
oct1046047700
9331302615
10144199616
1174440340
1240360a28
1323b4aa22
1415218c48
15c9d5c2b
hex8984fc0

144199616 has 56 divisors (see below), whose sum is σ = 313767216. Its totient is φ = 65208320.

The previous prime is 144199613. The next prime is 144199621. The reversal of 144199616 is 616991441.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144199613) 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 7 ways as a sum of consecutive naturals, for example, 180530 + ... + 181326.

It is an arithmetic number, because the mean of its divisors is an integer number (5602986).

Almost surely, 2144199616 is an apocalyptic number.

144199616 is a gapful number since it is divisible by the number (16) 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 144199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156883608).

144199616 is an abundant number, since it is smaller than the sum of its proper divisors (169567600).

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

144199616 is a wasteful number, since it uses less digits than its factorization.

144199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its digits is 46656, while the sum is 41.

The square root of 144199616 is about 12008.3144529114. The cubic root of 144199616 is about 524.3903623463.

The spelling of 144199616 in words is "one hundred forty-four million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 257 352 514 704 797 1028 1594 2056 2827 3188 4112 5654 6376 8224 8767 11308 12752 16448 17534 22616 25504 35068 45232 51008 70136 90464 140272 180928 204829 280544 409658 561088 819316 1638632 2253119 3277264 4506238 6554528 9012476 13109056 18024952 36049904 72099808 144199616