Search a number
-
+
142324094268 = 22327155682353
BaseRepresentation
bin1000010010001100101…
…1010101010100111100
3111121100210220002201200
42010203023111110330
54312434432004033
6145214403135500
713165631561226
oct2044313252474
9447323802650
10142324094268
11553a5271604
1223700074590
1310562221cc5
146c6216d416
153a7eca2013
hex21232d553c

142324094268 has 36 divisors (see below), whose sum is σ = 364830783408. Its totient is φ = 46773175680.

The previous prime is 142324094239. The next prime is 142324094317. The reversal of 142324094268 is 862490423241.

142324094268 is a `hidden beast` number, since 1 + 4 + 232 + 409 + 4 + 2 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1423240942682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27838621 + ... + 27843732.

It is an arithmetic number, because the mean of its divisors is an integer number (10134188428).

Almost surely, 2142324094268 is an apocalyptic number.

142324094268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142324094268 is an abundant number, since it is smaller than the sum of its proper divisors (222506689140).

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

142324094268 is a wasteful number, since it uses less digits than its factorization.

142324094268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55682434 (or 55682429 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 142324094268 in words is "one hundred forty-two billion, three hundred twenty-four million, ninety-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 55682353 111364706 167047059 222729412 334094118 501141177 668188236 1002282354 2004564708 3953447063 7906894126 11860341189 15813788252 23720682378 35581023567 47441364756 71162047134 142324094268