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144409472 = 277914281
BaseRepresentation
bin10001001101110…
…00001110000000
3101001201202112222
420212320032000
5243432100342
622155110212
73402313604
oct1046701600
9331652488
10144409472
1174573a79
1240442368
1323bc23bc
1415271504
15ca27ed2
hex89b8380

144409472 has 32 divisors (see below), whose sum is σ = 291352800. Its totient is φ = 71285760.

The previous prime is 144409469. The next prime is 144409477. The reversal of 144409472 is 274904441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144409477) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2972 + ... + 17252.

It is an arithmetic number, because the mean of its divisors is an integer number (9104775).

Almost surely, 2144409472 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 144409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145676400).

144409472 is an abundant number, since it is smaller than the sum of its proper divisors (146943328).

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

144409472 is an equidigital number, since it uses as much as digits as its factorization.

144409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14374 (or 14362 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 144409472 is about 12017.0492218348. The cubic root of 144409472 is about 524.6446235941.

The spelling of 144409472 in words is "one hundred forty-four million, four hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 2528 5056 10112 14281 28562 57124 114248 228496 456992 913984 1128199 1827968 2256398 4512796 9025592 18051184 36102368 72204736 144409472