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144158112 = 25327233109
BaseRepresentation
bin10001001011110…
…10110110100000
3101001020222202100
420211322312200
5243401024422
622145450400
73400216020
oct1045726640
9331228670
10144158112
117441213a
1240340a00
1323b34b77
1415207a80
15c9c87ac
hex897ada0

144158112 has 144 divisors (see below), whose sum is σ = 489041280. Its totient is φ = 39384576.

The previous prime is 144158107. The next prime is 144158123. The reversal of 144158112 is 211851441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1441581122 = 41563122510809088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44814 + ... + 47922.

It is an arithmetic number, because the mean of its divisors is an integer number (3396120).

Almost surely, 2144158112 is an apocalyptic number.

144158112 is a gapful number since it is divisible by the number (12) 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 144158112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244520640).

144158112 is an abundant number, since it is smaller than the sum of its proper divisors (344883168).

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

144158112 is a wasteful number, since it uses less digits than its factorization.

144158112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3144 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 144158112 is about 12006.5861925861. The cubic root of 144158112 is about 524.3400469418.

The spelling of 144158112 in words is "one hundred forty-four million, one hundred fifty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3109 3312 3864 5152 5796 6218 6624 7728 9327 11592 12436 15456 18654 21763 23184 24872 27981 37308 43526 46368 49744 55962 65289 71507 74616 87052 99488 111924 130578 143014 149232 174104 195867 214521 223848 261156 286028 298464 348208 391734 429042 447696 500549 522312 572056 643563 696416 783468 858084 895392 1001098 1044624 1144112 1287126 1501647 1566936 1716168 2002196 2089248 2288224 2574252 3003294 3133872 3432336 4004392 4504941 5148504 6006588 6267744 6864672 8008784 9009882 10297008 12013176 16017568 18019764 20594016 24026352 36039528 48052704 72079056 144158112