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144111296 = 2672711187
BaseRepresentation
bin10001001011011…
…11011011000000
3101001011121112102
420211233123000
5243343030141
622144445532
73366632360
oct1045573300
9331147472
10144111296
117438aa4a
12403198a8
1323b19774
14151d49a0
15c9b999b
hex896f6c0

144111296 has 56 divisors (see below), whose sum is σ = 328306176. Its totient is φ = 61482240.

The previous prime is 144111287. The next prime is 144111301. The reversal of 144111296 is 692111441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 120815 + ... + 122001.

Almost surely, 2144111296 is an apocalyptic number.

144111296 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 144111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164153088).

144111296 is an abundant number, since it is smaller than the sum of its proper divisors (184194880).

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

144111296 is a wasteful number, since it uses less digits than its factorization.

144111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1467 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 144111296 is about 12004.6364376436. The cubic root of 144111296 is about 524.2832801944.

The spelling of 144111296 in words is "one hundred forty-four million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 271 448 542 1084 1187 1897 2168 2374 3794 4336 4748 7588 8309 8672 9496 15176 16618 17344 18992 30352 33236 37984 60704 66472 75968 121408 132944 265888 321677 531776 643354 1286708 2251739 2573416 4503478 5146832 9006956 10293664 18013912 20587328 36027824 72055648 144111296