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144135296 = 2723173283
BaseRepresentation
bin10001001011101…
…01010010000000
3101001012211110022
420211311102000
5243344312141
622145153012
73400062344
oct1045652200
9331184408
10144135296
11743a6a88
124032b768
1323b27676
14151dd624
15c9c1b4b
hex8975480

144135296 has 64 divisors (see below), whose sum is σ = 302425920. Its totient is φ = 68293632.

The previous prime is 144135287. The next prime is 144135301. The reversal of 144135296 is 692531441.

It is a tau number, because it is divible by the number of its divisors (64).

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, 509171 + ... + 509453.

It is an arithmetic number, because the mean of its divisors is an integer number (4725405).

Almost surely, 2144135296 is an apocalyptic number.

144135296 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 144135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151212960).

144135296 is an abundant number, since it is smaller than the sum of its proper divisors (158290624).

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

144135296 is a wasteful number, since it uses less digits than its factorization.

144135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 144135296 is about 12005.6360098081. The cubic root of 144135296 is about 524.3123829333.

The spelling of 144135296 in words is "one hundred forty-four million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 173 184 283 346 368 566 692 736 1132 1384 1472 2264 2768 2944 3979 4528 5536 6509 7958 9056 11072 13018 15916 18112 22144 26036 31832 36224 48959 52072 63664 97918 104144 127328 195836 208288 254656 391672 416576 509312 783344 833152 1126057 1566688 2252114 3133376 4504228 6266752 9008456 18016912 36033824 72067648 144135296