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142344007524 = 22323954000209
BaseRepresentation
bin1000010010010001011…
…1010010111101100100
3111121102012100210120200
42010210113102331210
54313010031220044
6145220354030500
713166263046325
oct2044427227544
9447365323520
10142344007524
1155405532744
1223706878430
13105663a4ab4
146c64a7444c
153a818d7369
hex21245d2f64

142344007524 has 18 divisors (see below), whose sum is σ = 359814019110. Its totient is φ = 47448002496.

The previous prime is 142344007483. The next prime is 142344007573. The reversal of 142344007524 is 425700443241.

142344007524 is a `hidden beast` number, since 14 + 234 + 400 + 7 + 5 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115899393600 + 26444613924 = 340440^2 + 162618^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1423440075242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3954000209 = 142344007524 / (1 + 4 + 2 + 3 + 4 + 4 + 0 + 0 + 7 + 5 + 2 + 4).

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 5 ways as a sum of consecutive naturals, for example, 1977000069 + ... + 1977000140.

Almost surely, 2142344007524 is an apocalyptic number.

It is an amenable number.

142344007524 is an abundant number, since it is smaller than the sum of its proper divisors (217470011586).

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

142344007524 is a wasteful number, since it uses less digits than its factorization.

142344007524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954000219 (or 3954000214 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 142344007524 in words is "one hundred forty-two billion, three hundred forty-four million, seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3954000209 7908000418 11862000627 15816000836 23724001254 35586001881 47448002508 71172003762 142344007524