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144434144 = 2541283389
BaseRepresentation
bin10001001101111…
…10001111100000
3101001210000101202
420212332033200
5243433343034
622155420332
73402445541
oct1046761740
9331700352
10144434144
1174590568
12404546a8
1323c006ba
141527a4c8
15ca3047e
hex89be3e0

144434144 has 48 divisors (see below), whose sum is σ = 293070960. Its totient is φ = 70026240.

The previous prime is 144434131. The next prime is 144434189. The reversal of 144434144 is 441434441.

144434144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1444341442 = 41722443906025472, which contains 22 as substring.

It is a congruent number.

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, 371102 + ... + 371490.

It is an arithmetic number, because the mean of its divisors is an integer number (6105645).

Almost surely, 2144434144 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 144434144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146535480).

144434144 is an abundant number, since it is smaller than the sum of its proper divisors (148636816).

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

144434144 is a wasteful number, since it uses less digits than its factorization.

144434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 144434144 is about 12018.0757195152. The cubic root of 144434144 is about 524.6744999701.

Adding to 144434144 its reverse (441434441), we get a palindrome (585868585).

The spelling of 144434144 in words is "one hundred forty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 283 328 389 566 656 778 1132 1312 1556 2264 3112 4528 6224 9056 11603 12448 15949 23206 31898 46412 63796 92824 110087 127592 185648 220174 255184 371296 440348 510368 880696 1761392 3522784 4513567 9027134 18054268 36108536 72217072 144434144