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142130341332 = 2235720889233
BaseRepresentation
bin1000010001011110100…
…0001110010111010100
3111120212022022102200000
42010113220032113110
54312040331410312
6145143242251300
713161056652660
oct2042750162724
9446768272600
10142130341332
1155305966111
12236671b6b30
13105310442b5
146c445358a0
153a6cc7dadc
hex2117a0e5d4

142130341332 has 72 divisors (see below), whose sum is σ = 425806145856. Its totient is φ = 40608667008.

The previous prime is 142130341319. The next prime is 142130341343. The reversal of 142130341332 is 233143031241.

It is a happy number.

142130341332 is a `hidden beast` number, since 1 + 4 + 21 + 303 + 4 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142130341296 and 142130341305.

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 23 ways as a sum of consecutive naturals, for example, 10437813 + ... + 10451420.

It is an arithmetic number, because the mean of its divisors is an integer number (5913974248).

Almost surely, 2142130341332 is an apocalyptic number.

142130341332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142130341332 is an abundant number, since it is smaller than the sum of its proper divisors (283675804524).

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

142130341332 is a wasteful number, since it uses less digits than its factorization.

142130341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20889259 (or 20889245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 142130341332 its reverse (233143031241), we get a palindrome (375273372573).

The spelling of 142130341332 in words is "one hundred forty-two billion, one hundred thirty million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 20889233 41778466 62667699 83556932 125335398 146224631 188003097 250670796 292449262 376006194 438673893 564009291 584898524 752012388 877347786 1128018582 1316021679 1692027873 1754695572 2256037164 2632043358 3384055746 3948065037 5076083619 5264086716 6768111492 7896130074 10152167238 11844195111 15792260148 20304334476 23688390222 35532585333 47376780444 71065170666 142130341332