Search a number
-
+
142230123120132 = 223217232402161961
BaseRepresentation
bin100000010101101110000111…
…111101110000011000000100
3200122121001210211100010111200
4200111232013331300120010
5122120244243004321012
61222255341101102500
741646534020034615
oct4025560775603004
9618531724303450
10142230123120132
114135650262a233
1213b51198557a30
136149321006178
142719d90795c0c
151169aea2873dc
hex815b87f70604

142230123120132 has 36 divisors (see below), whose sum is σ = 380674741293756. Its totient is φ = 44621215096320.

The previous prime is 142230123120017. The next prime is 142230123120133. The reversal of 142230123120132 is 231021321032241.

142230123120132 is a `hidden beast` number, since 1 + 4 + 223 + 0 + 1 + 231 + 201 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107661085472196 + 34569037647936 = 10375986^2 + 5879544^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 142230123120096 and 142230123120105.

It is not an unprimeable number, because it can be changed into a prime (142230123120133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116201080369 + ... + 116201081592.

It is an arithmetic number, because the mean of its divisors is an integer number (10574298369271).

Almost surely, 2142230123120132 is an apocalyptic number.

142230123120132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142230123120132 is an abundant number, since it is smaller than the sum of its proper divisors (238444618173624).

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

142230123120132 is a wasteful number, since it uses less digits than its factorization.

142230123120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232402161988 (or 232402161983 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 142230123120132 its reverse (231021321032241), we get a palindrome (373251444152373).

The spelling of 142230123120132 in words is "one hundred forty-two trillion, two hundred thirty billion, one hundred twenty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 232402161961 464804323922 697206485883 929608647844 1394412971766 2091619457649 2788825943532 3950836753337 4183238915298 7901673506674 8366477830596 11852510260011 15803347013348 23705020520022 35557530780033 47410041040044 71115061560066 142230123120132