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144401472 = 2632318087
BaseRepresentation
bin10001001101101…
…10010001000000
3101001201100120200
420212312101000
5243431321342
622155005200
73402251355
oct1046662100
9331640520
10144401472
1174568a66
1240439800
1323bbb877
141526c62c
15ca2594c
hex89b6440

144401472 has 84 divisors (see below), whose sum is σ = 427305216. Its totient is φ = 46575360.

The previous prime is 144401459. The next prime is 144401473. The reversal of 144401472 is 274104441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144401473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13813 + ... + 21899.

Almost surely, 2144401472 is an apocalyptic number.

144401472 is a gapful number since it is divisible by the number (12) 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 144401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213652608).

144401472 is an abundant number, since it is smaller than the sum of its proper divisors (282903744).

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

144401472 is a wasteful number, since it uses less digits than its factorization.

144401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144401472 is about 12016.7163568090. The cubic root of 144401472 is about 524.6349353226.

The spelling of 144401472 in words is "one hundred forty-four million, four hundred one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8087 8928 16174 17856 24261 32348 48522 64696 72783 97044 129392 145566 194088 250697 258784 291132 388176 501394 517568 582264 752091 776352 1002788 1164528 1504182 1552704 2005576 2256273 2329056 3008364 4011152 4512546 4658112 6016728 8022304 9025092 12033456 16044608 18050184 24066912 36100368 48133824 72200736 144401472