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144055296 = 21032721129
BaseRepresentation
bin10001001011000…
…01110000000000
3101001001202201100
420211201300000
5243334232141
622143334400
73366310200
oct1045416000
9331052640
10144055296
1174351970
12402b1400
1323aca128
14151bc400
15c9a80b6
hex8961c00

144055296 has 396 divisors, whose sum is σ = 546057720. Its totient is φ = 36126720.

The previous prime is 144055271. The next prime is 144055333. The reversal of 144055296 is 692550441.

144055296 is a `hidden beast` number, since 14 + 4 + 0 + 552 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144055296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4967410 + ... + 4967438.

Almost surely, 2144055296 is an apocalyptic number.

144055296 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 144055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273028860).

144055296 is an abundant number, since it is smaller than the sum of its proper divisors (402002424).

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

144055296 is a wasteful number, since it uses less digits than its factorization.

144055296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 144055296 is about 12002.3037788585. The cubic root of 144055296 is about 524.2153612357.

It can be divided in two parts, 14405 and 5296, that added together give a triangular number (19701 = T198).

The spelling of 144055296 in words is "one hundred forty-four million, fifty-five thousand, two hundred ninety-six".