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144157068 = 2232113111743
BaseRepresentation
bin10001001011110…
…10100110001100
3101001020221022200
420211322212030
5243401011233
622145441500
73400212666
oct1045724614
9331227280
10144157068
1174411380
1240340290
1323b34553
1415207536
15c9c8313
hex897a98c

144157068 has 72 divisors (see below), whose sum is σ = 410382336. Its totient is φ = 42271200.

The previous prime is 144157063. The next prime is 144157129. The reversal of 144157068 is 860751441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (144157063) by changing a digit.

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, 6405 + ... + 18147.

Almost surely, 2144157068 is an apocalyptic number.

144157068 is a gapful number since it is divisible by the number (18) 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 144157068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205191168).

144157068 is an abundant number, since it is smaller than the sum of its proper divisors (266225268).

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

144157068 is a wasteful number, since it uses less digits than its factorization.

144157068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11795 (or 11790 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 144157068 is about 12006.5427163693. The cubic root of 144157068 is about 524.3387811735.

The spelling of 144157068 in words is "one hundred forty-four million, one hundred fifty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 11743 12276 23486 35229 46972 70458 105687 129173 140916 211374 258346 364033 387519 422748 516692 728066 775038 1092099 1162557 1456132 1550076 2184198 2325114 3276297 4004363 4368396 4650228 6552594 8008726 12013089 13105188 16017452 24026178 36039267 48052356 72078534 144157068