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144844956 = 22331936949
BaseRepresentation
bin10001010001000…
…10100010011100
3101002112212221000
420220202202130
5244040014311
622212310300
73406106334
oct1050424234
9332485830
10144844956
1174841183
1240612390
1324015699
14153460c4
15cab2056
hex8a2289c

144844956 has 48 divisors (see below), whose sum is σ = 377524000. Its totient is φ = 48024576.

The previous prime is 144844951. The next prime is 144844979. The reversal of 144844956 is 659448441.

144844956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1448449562 = 41960122557283872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144844951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17370 + ... + 24318.

Almost surely, 2144844956 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 144844956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188762000).

144844956 is an abundant number, since it is smaller than the sum of its proper divisors (232679044).

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

144844956 is a wasteful number, since it uses less digits than its factorization.

144844956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7155 (or 7147 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 144844956 is about 12035.1550052336. The cubic root of 144844956 is about 525.1714705204.

The spelling of 144844956 in words is "one hundred forty-four million, eight hundred forty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 193 386 579 772 1158 1737 2316 3474 5211 6948 6949 10422 13898 20844 20847 27796 41694 62541 83388 125082 187623 250164 375246 750492 1341157 2682314 4023471 5364628 8046942 12070413 16093884 24140826 36211239 48281652 72422478 144844956