Search a number
-
+
144230736 = 24313376247
BaseRepresentation
bin10001001100011…
…00100101010000
3101001101200101010
420212030211100
5243410340421
622151210520
73400640526
oct1046144520
9331350333
10144230736
1174461761
1240376a40
1323b5bc40
1415226316
15c9e0076
hex898c950

144230736 has 80 divisors (see below), whose sum is σ = 412168064. Its totient is φ = 43172352.

The previous prime is 144230711. The next prime is 144230741. The reversal of 144230736 is 637032441.

It is a congruent number.

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, 19965 + ... + 26211.

Almost surely, 2144230736 is an apocalyptic number.

144230736 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 144230736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206084032).

144230736 is an abundant number, since it is smaller than the sum of its proper divisors (267937328).

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

144230736 is a wasteful number, since it uses less digits than its factorization.

144230736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 144230736 is about 12009.6101518742. The cubic root of 144230736 is about 524.4280828681.

The spelling of 144230736 in words is "one hundred forty-four million, two hundred thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 6247 7696 11544 12494 18741 23088 24988 37482 49976 74964 81211 99952 149928 162422 231139 243633 299856 324844 462278 487266 649688 693417 924556 974532 1299376 1386834 1849112 1949064 2773668 3004807 3698224 3898128 5547336 6009614 9014421 11094672 12019228 18028842 24038456 36057684 48076912 72115368 144230736