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144134144 = 212711457
BaseRepresentation
bin10001001011101…
…01000000000000
3101001012202212122
420211311000000
5243344243034
622145143412
73400056110
oct1045650000
9331182778
10144134144
11743a6130
124032ab68
1323b26c9b
14151dd040
15c9c162e
hex8975000

144134144 has 104 divisors (see below), whose sum is σ = 360141888. Its totient is φ = 56033280.

The previous prime is 144134117. The next prime is 144134167. The reversal of 144134144 is 441431441.

It is a super-2 number, since 2×1441341442 = 41549302933225472, 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, 315164 + ... + 315620.

Almost surely, 2144134144 is an apocalyptic number.

144134144 is a gapful number since it is divisible by the number (14) 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 144134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180070944).

144134144 is an abundant number, since it is smaller than the sum of its proper divisors (216007744).

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

144134144 is an equidigital number, since it uses as much as digits as its factorization.

144134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 477 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 144134144 is about 12005.5880322457. The cubic root of 144134144 is about 524.3109860757.

Adding to 144134144 its reverse (441431441), we get a palindrome (585565585).

The spelling of 144134144 in words is "one hundred forty-four million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 457 512 616 704 896 914 1024 1232 1408 1792 1828 2048 2464 2816 3199 3584 3656 4096 4928 5027 5632 6398 7168 7312 9856 10054 11264 12796 14336 14624 19712 20108 22528 25592 28672 29248 35189 39424 40216 45056 51184 58496 70378 78848 80432 102368 116992 140756 157696 160864 204736 233984 281512 315392 321728 409472 467968 563024 643456 818944 935936 1126048 1286912 1637888 1871872 2252096 2573824 3275776 4504192 5147648 6551552 9008384 10295296 13103104 18016768 20590592 36033536 72067072 144134144