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144300096 = 2633113739
BaseRepresentation
bin10001001100111…
…01100001000000
3101001112012112000
420212131201000
5243420100341
622152504000
73401346663
oct1046354100
9331465460
10144300096
11744a9886
12403ab000
1323b84695
14152436da
15ca058b6
hex899d840

144300096 has 112 divisors (see below), whose sum is σ = 428548800. Its totient is φ = 47609856.

The previous prime is 144300089. The next prime is 144300109. The reversal of 144300096 is 690003441.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 194895 + ... + 195633.

Almost surely, 2144300096 is an apocalyptic number.

144300096 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 144300096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214274400).

144300096 is an abundant number, since it is smaller than the sum of its proper divisors (284248704).

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

144300096 is a wasteful number, since it uses less digits than its factorization.

144300096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 144300096 is about 12012.4974921954. The cubic root of 144300096 is about 524.5121345380.

The spelling of 144300096 in words is "one hundred forty-four million, three hundred thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 739 864 904 1017 1356 1478 1728 1808 2034 2217 2712 2956 3051 3616 4068 4434 5424 5912 6102 6651 7232 8136 8868 10848 11824 12204 13302 16272 17736 19953 21696 23648 24408 26604 32544 35472 39906 47296 48816 53208 65088 70944 79812 83507 97632 106416 141888 159624 167014 195264 212832 250521 319248 334028 425664 501042 638496 668056 751563 1002084 1276992 1336112 1503126 2004168 2254689 2672224 3006252 4008336 4509378 5344448 6012504 8016672 9018756 12025008 16033344 18037512 24050016 36075024 48100032 72150048 144300096