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144044096 = 267476841
BaseRepresentation
bin10001001010111…
…11000001000000
3101001001012100112
420211133001000
5243333402341
622143210452
73366232430
oct1045370100
9331035315
10144044096
1174344509
12402a6a28
1323ac4cc1
14151b82c0
15c9a4aeb
hex895f040

144044096 has 56 divisors (see below), whose sum is σ = 333670656. Its totient is φ = 60410880.

The previous prime is 144044081. The next prime is 144044123. The reversal of 144044096 is 690440441.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17636 + ... + 24476.

Almost surely, 2144044096 is an apocalyptic number.

144044096 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 144044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166835328).

144044096 is an abundant number, since it is smaller than the sum of its proper divisors (189626560).

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

144044096 is an equidigital number, since it uses as much as digits as its factorization.

144044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 144044096 is about 12001.8371926968. The cubic root of 144044096 is about 524.2017753318.

The spelling of 144044096 in words is "one hundred forty-four million, forty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 6841 10528 13682 21056 27364 47887 54728 95774 109456 191548 218912 321527 383096 437824 643054 766192 1286108 1532384 2250689 2572216 3064768 4501378 5144432 9002756 10288864 18005512 20577728 36011024 72022048 144044096