Search a number
-
+
144076284 = 223211363829
BaseRepresentation
bin10001001011001…
…10110111111100
3101001002211111200
420211212313330
5243340420114
622144015500
73366425322
oct1045466774
9331084450
10144076284
1174366710
1240301590
1323b06851
14151c5d12
15c9ae409
hex8966dfc

144076284 has 36 divisors (see below), whose sum is σ = 397302360. Its totient is φ = 43659360.

The previous prime is 144076279. The next prime is 144076319. The reversal of 144076284 is 482670441.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1440762842 = 41515951222497312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181519 + ... + 182310.

Almost surely, 2144076284 is an apocalyptic number.

It is an amenable number.

144076284 is an abundant number, since it is smaller than the sum of its proper divisors (253226076).

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

144076284 is a wasteful number, since it uses less digits than its factorization.

144076284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363850 (or 363845 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 144076284 is about 12003.1780791589. The cubic root of 144076284 is about 524.2408183530.

The spelling of 144076284 in words is "one hundred forty-four million, seventy-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 363829 727658 1091487 1455316 2182974 3274461 4002119 4365948 6548922 8004238 12006357 13097844 16008476 24012714 36019071 48025428 72038142 144076284