Search a number
-
+
142322016 = 2534731543
BaseRepresentation
bin10000111101110…
…10100101100000
3100220210201002210
420132322211200
5242413301031
622042242120
73345500664
oct1036724540
9326721083
10142322016
1173378701
123b7b6340
1323641215
1414c8a8a4
15c764746
hex87ba960

142322016 has 48 divisors (see below), whose sum is σ = 381556224. Its totient is φ = 46429824.

The previous prime is 142321987. The next prime is 142322021. The reversal of 142322016 is 610223241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 142321983 and 142322001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11260 + ... + 20283.

It is an arithmetic number, because the mean of its divisors is an integer number (7949088).

Almost surely, 2142322016 is an apocalyptic number.

142322016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142322016 is an abundant number, since it is smaller than the sum of its proper divisors (239234208).

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

142322016 is a wasteful number, since it uses less digits than its factorization.

142322016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31603 (or 31595 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142322016 is about 11929.8791276358. The cubic root of 142322016 is about 522.1044109341.

Adding to 142322016 its reverse (610223241), we get a palindrome (752545257).

The spelling of 142322016 in words is "one hundred forty-two million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 31543 63086 94629 126172 189258 252344 378516 504688 757032 1009376 1482521 1514064 2965042 3028128 4447563 5930084 8895126 11860168 17790252 23720336 35580504 47440672 71161008 142322016