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144997416 = 233231167389
BaseRepresentation
bin10001010010001…
…11110000101000
3101002211122001200
420221013300220
5244104404131
622215444200
73410312664
oct1051076050
9332748050
10144997416
1174935783
1240686660
1324069bb5
14153858a4
15cae22e6
hex8a47c28

144997416 has 96 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 46373760.

The previous prime is 144997399. The next prime is 144997421. The reversal of 144997416 is 614799441.

144997416 is a `hidden beast` number, since 144 + 9 + 97 + 416 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 372550 + ... + 372938.

It is an arithmetic number, because the mean of its divisors is an integer number (4258800).

Almost surely, 2144997416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144997416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

144997416 is an abundant number, since it is smaller than the sum of its proper divisors (263847384).

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

144997416 is a wasteful number, since it uses less digits than its factorization.

144997416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 592 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 144997416 is about 12041.4872835543. The cubic root of 144997416 is about 525.3556664788.

The spelling of 144997416 in words is "one hundred forty-four million, nine hundred ninety-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 167 186 248 279 334 372 389 501 558 668 744 778 1002 1116 1167 1336 1503 1556 2004 2232 2334 3006 3112 3501 4008 4668 5177 6012 7002 9336 10354 12024 12059 14004 15531 20708 24118 28008 31062 36177 41416 46593 48236 62124 64963 72354 93186 96472 108531 124248 129926 144708 186372 194889 217062 259852 289416 372744 389778 434124 519704 584667 779556 868248 1169334 1559112 2013853 2338668 4027706 4677336 6041559 8055412 12083118 16110824 18124677 24166236 36249354 48332472 72498708 144997416