Search a number
-
+
142402344 = 23373137739
BaseRepresentation
bin10000111110011…
…10001100101000
3100220221210021220
420133032030220
5242423333334
622044102040
73346254120
oct1037161450
9326853256
10142402344
1173422a97
123b834920
132366b956
1414cabc80
15c77d449
hex87ce328

142402344 has 128 divisors (see below), whose sum is σ = 431923200. Its totient is φ = 38257920.

The previous prime is 142402333. The next prime is 142402373. The reversal of 142402344 is 443204241.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 192327 + ... + 193065.

It is an arithmetic number, because the mean of its divisors is an integer number (3374400).

Almost surely, 2142402344 is an apocalyptic number.

142402344 is a gapful number since it is divisible by the number (14) 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 142402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215961600).

142402344 is an abundant number, since it is smaller than the sum of its proper divisors (289520856).

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

142402344 is a wasteful number, since it uses less digits than its factorization.

142402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 142402344 is about 11933.2453255600. The cubic root of 142402344 is about 522.2026194811.

Adding to 142402344 its reverse (443204241), we get a palindrome (585606585).

The spelling of 142402344 in words is "one hundred forty-two million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 739 744 777 868 888 1036 1147 1302 1478 1554 1736 2072 2217 2294 2604 2956 3108 3441 4434 4588 5173 5208 5912 6216 6882 8029 8868 9176 10346 13764 15519 16058 17736 20692 22909 24087 27343 27528 31038 32116 41384 45818 48174 54686 62076 64232 68727 82029 91636 96348 109372 124152 137454 160363 164058 183272 191401 192696 218744 274908 320726 328116 382802 481089 549816 574203 641452 656232 765604 847633 962178 1148406 1282904 1531208 1695266 1924356 2296812 2542899 3390532 3848712 4593624 5085798 5933431 6781064 10171596 11866862 17800293 20343192 23733724 35600586 47467448 71201172 142402344