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144281856 = 2831743257
BaseRepresentation
bin10001001100110…
…01000100000000
3101001111021111110
420212121010000
5243414004411
622152243320
73401242545
oct1046310400
9331437443
10144281856
1174497104
12403a0540
1323b792a4
141523abcc
15ca002a6
hex8999100

144281856 has 144 divisors (see below), whose sum is σ = 417662784. Its totient is φ = 44040192.

The previous prime is 144281849. The next prime is 144281867. The reversal of 144281856 is 658182441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561280 + ... + 561536.

It is an arithmetic number, because the mean of its divisors is an integer number (2900436).

Almost surely, 2144281856 is an apocalyptic number.

144281856 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 144281856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831392).

144281856 is an abundant number, since it is smaller than the sum of its proper divisors (273380928).

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

144281856 is a wasteful number, since it uses less digits than its factorization.

144281856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 144281856 is about 12011.7382588866. The cubic root of 144281856 is about 524.4900335953.

The spelling of 144281856 in words is "one hundred forty-four million, two hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 256 257 258 272 344 384 408 514 516 544 688 731 768 771 816 1028 1032 1088 1376 1462 1542 1632 2056 2064 2176 2193 2752 2924 3084 3264 4112 4128 4352 4369 4386 5504 5848 6168 6528 8224 8256 8738 8772 11008 11051 11696 12336 13056 13107 16448 16512 17476 17544 22102 23392 24672 26214 32896 33024 33153 34952 35088 44204 46784 49344 52428 65792 66306 69904 70176 88408 93568 98688 104856 132612 139808 140352 176816 187136 187867 197376 209712 265224 279616 280704 353632 375734 419424 530448 559232 561408 563601 707264 751468 838848 1060896 1118464 1127202 1414528 1502936 1677696 2121792 2254404 2829056 3005872 3355392 4243584 4508808 6011744 8487168 9017616 12023488 18035232 24046976 36070464 48093952 72140928 144281856