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144275376 = 24371074013
BaseRepresentation
bin10001001100101…
…11011110110000
3101001110221121110
420212113132300
5243413303001
622152153320
73401214630
oct1046273660
9331427543
10144275376
1174492253
1240398840
1323b7635b
14152386c0
15c9ed3d6
hex89977b0

144275376 has 80 divisors (see below), whose sum is σ = 430043904. Its totient is φ = 40826112.

The previous prime is 144275353. The next prime is 144275387. The reversal of 144275376 is 673572441.

144275376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 33946 + ... + 37958.

Almost surely, 2144275376 is an apocalyptic number.

144275376 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 144275376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215021952).

144275376 is an abundant number, since it is smaller than the sum of its proper divisors (285768528).

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

144275376 is a wasteful number, since it uses less digits than its factorization.

144275376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4132 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 144275376 is about 12011.4685197107. The cubic root of 144275376 is about 524.4821814962.

The spelling of 144275376 in words is "one hundred forty-four million, two hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4013 4494 5136 5992 8026 8988 11984 12039 16052 17976 24078 28091 32104 35952 48156 56182 64208 84273 96312 112364 168546 192624 224728 337092 429391 449456 674184 858782 1288173 1348368 1717564 2576346 3005737 3435128 5152692 6011474 6870256 9017211 10305384 12022948 18034422 20610768 24045896 36068844 48091792 72137688 144275376