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144347136 = 212317691
BaseRepresentation
bin10001001101010…
…01000000000000
3101001121121001020
420212221000000
5243423102021
622153505440
73401634063
oct1046510000
9331547036
10144347136
117453115a
1240412280
1323b9cc0b
14152568da
15ca147c6
hex89a9000

144347136 has 104 divisors (see below), whose sum is σ = 408108384. Its totient is φ = 45219840.

The previous prime is 144347131. The next prime is 144347179. The reversal of 144347136 is 631743441.

It is a junction number, because it is equal to n+sod(n) for n = 144347097 and 144347106.

It is not an unprimeable number, because it can be changed into a prime (144347131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208551 + ... + 209241.

Almost surely, 2144347136 is an apocalyptic number.

144347136 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 144347136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204054192).

144347136 is an abundant number, since it is smaller than the sum of its proper divisors (263761248).

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

144347136 is an equidigital number, since it uses as much as digits as its factorization.

144347136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 713 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 144347136 is about 12014.4552935204. The cubic root of 144347136 is about 524.5691231124.

The spelling of 144347136 in words is "one hundred forty-four million, three hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 691 768 816 1024 1088 1382 1536 1632 2048 2073 2176 2764 3072 3264 4096 4146 4352 5528 6144 6528 8292 8704 11056 11747 12288 13056 16584 17408 22112 23494 26112 33168 34816 35241 44224 46988 52224 66336 69632 70482 88448 93976 104448 132672 140964 176896 187952 208896 265344 281928 353792 375904 530688 563856 707584 751808 1061376 1127712 1415168 1503616 2122752 2255424 2830336 3007232 4245504 4510848 6014464 8491008 9021696 12028928 18043392 24057856 36086784 48115712 72173568 144347136