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144260312 = 2373192767
BaseRepresentation
bin10001001100100…
…11110011011000
3101001110011221112
420212103303120
5243412312222
622151555452
73401123000
oct1046236330
9331404845
10144260312
11744819a9
124038bb88
1323b6c541
1415233000
15c9e8be2
hex8993cd8

144260312 has 64 divisors (see below), whose sum is σ = 332160000. Its totient is φ = 58550688.

The previous prime is 144260309. The next prime is 144260321. The reversal of 144260312 is 213062441.

It is a super-2 number, since 2×1442603122 = 41622075236674688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50753 + ... + 53519.

It is an arithmetic number, because the mean of its divisors is an integer number (5190000).

Almost surely, 2144260312 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 144260312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166080000).

144260312 is an abundant number, since it is smaller than the sum of its proper divisors (187899688).

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

144260312 is a wasteful number, since it uses less digits than its factorization.

144260312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 144260312 is about 12010.8414359694. The cubic root of 144260312 is about 524.4639268806.

The spelling of 144260312 in words is "one hundred forty-four million, two hundred sixty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 343 392 532 686 931 1064 1372 1862 2744 2767 3724 5534 6517 7448 11068 13034 19369 22136 26068 38738 52136 52573 77476 105146 135583 154952 210292 271166 368011 420584 542332 736022 949081 1084664 1472044 1898162 2576077 2944088 3796324 5152154 7592648 10304308 18032539 20608616 36065078 72130156 144260312