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144708956 = 2273293637
BaseRepresentation
bin10001010000000…
…01010101011100
3101002021222100222
420220001111130
5244021141311
622205340512
73405002000
oct1050012534
9332258328
10144708956
1174758a87
1240567738
1323c98802
141530c700
15ca86adb
hex8a0155c

144708956 has 48 divisors (see below), whose sum is σ = 305592000. Its totient is φ = 59863104.

The previous prime is 144708943. The next prime is 144708973. The reversal of 144708956 is 659807441.

It is a super-3 number, since 3×1447089563 (a number of 25 digits) contains 333 as substring.

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, 37970 + ... + 41606.

It is an arithmetic number, because the mean of its divisors is an integer number (6366500).

Almost surely, 2144708956 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 144708956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152796000).

144708956 is an abundant number, since it is smaller than the sum of its proper divisors (160883044).

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

144708956 is a wasteful number, since it uses less digits than its factorization.

144708956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3675 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 144708956 is about 12029.5035641543. The cubic root of 144708956 is about 525.0070517571.

The spelling of 144708956 in words is "one hundred forty-four million, seven hundred eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 406 686 812 1372 1421 2842 3637 5684 7274 9947 14548 19894 25459 39788 50918 101836 105473 178213 210946 356426 421892 712852 738311 1247491 1476622 2494982 2953244 4989964 5168177 10336354 20672708 36177239 72354478 144708956