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144312534 = 23223536577
BaseRepresentation
bin10001001101000…
…00100011010110
3101001112211120200
420212200203112
5243421000114
622153041330
73401431152
oct1046404326
9331484520
10144312534
1174508163
12403b6246
1323b8a242
1415248062
15ca09409
hex89a08d6

144312534 has 48 divisors (see below), whose sum is σ = 332478432. Its totient is φ = 45137664.

The previous prime is 144312529. The next prime is 144312551. The reversal of 144312534 is 435213441.

It is a happy number.

It is a super-2 number, since 2×1443125342 = 41652214939002312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144312498 and 144312507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18654 + ... + 25230.

It is an arithmetic number, because the mean of its divisors is an integer number (6926634).

Almost surely, 2144312534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144312534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239216).

144312534 is an abundant number, since it is smaller than the sum of its proper divisors (188165898).

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

144312534 is a wasteful number, since it uses less digits than its factorization.

144312534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6661 (or 6658 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 144312534 is about 12013.0151918659. The cubic root of 144312534 is about 524.5272042773.

Adding to 144312534 its reverse (435213441), we get a palindrome (579525975).

The spelling of 144312534 in words is "one hundred forty-four million, three hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 318 414 477 954 1219 2438 3657 6577 7314 10971 13154 19731 21942 39462 59193 118386 151271 302542 348581 453813 697162 907626 1045743 1361439 2091486 2722878 3137229 6274458 8017363 16034726 24052089 48104178 72156267 144312534