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142762916304 = 2432991409141
BaseRepresentation
bin1000010011110101010…
…1010011100111010000
3111122111101121120101200
42010331111103213100
54314334301310204
6145330120431200
713212540523611
oct2047525234720
9448441546350
10142762916304
11555aaa43048
1223803018500
1310602106c08
146ca455bc08
153aa8583539
hex213d5539d0

142762916304 has 30 divisors (see below), whose sum is σ = 399537884226. Its totient is φ = 47587638720.

The previous prime is 142762916273. The next prime is 142762916311. The reversal of 142762916304 is 403619267241.

142762916304 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 6 + 2 + 9 + 1 + 630 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104362594704 + 38400321600 = 323052^2 + 195960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 142762916304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495704427 + ... + 495704714.

Almost surely, 2142762916304 is an apocalyptic number.

It is an amenable number.

142762916304 is an abundant number, since it is smaller than the sum of its proper divisors (256774967922).

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

142762916304 is a wasteful number, since it uses less digits than its factorization.

142762916304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991409155 (or 991409146 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 142762916304 in words is "one hundred forty-two billion, seven hundred sixty-two million, nine hundred sixteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 991409141 1982818282 2974227423 3965636564 5948454846 7931273128 8922682269 11896909692 15862546256 17845364538 23793819384 35690729076 47587638768 71381458152 142762916304