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144013056 = 2831117047
BaseRepresentation
bin10001001010101…
…11011100000000
3101000222121202220
420211113130000
5243331404211
622142411040
73366043065
oct1045273400
9330877686
10144013056
1174323160
1240290a80
1323ab3b35
14151aac6c
15c99a806
hex8957700

144013056 has 72 divisors (see below), whose sum is σ = 418153344. Its totient is φ = 43637760.

The previous prime is 144013049. The next prime is 144013081. The reversal of 144013056 is 650310441.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 76 + ... + 16971.

Almost surely, 2144013056 is an apocalyptic number.

144013056 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 144013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209076672).

144013056 is an abundant number, since it is smaller than the sum of its proper divisors (274140288).

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

144013056 is a wasteful number, since it uses less digits than its factorization.

144013056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17077 (or 17063 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 144013056 is about 12000.5439876699. The cubic root of 144013056 is about 524.1641192888.

Adding to 144013056 its reverse (650310441), we get a palindrome (794323497).

The spelling of 144013056 in words is "one hundred forty-four million, thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 17047 34094 51141 68188 102282 136376 187517 204564 272752 375034 409128 545504 562551 750068 818256 1091008 1125102 1500136 1636512 2182016 2250204 3000272 3273024 4364032 4500408 6000544 6546048 9000816 12001088 13092096 18001632 24002176 36003264 48004352 72006528 144013056