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6142733640 = 2332517063149
BaseRepresentation
bin1011011100010001…
…01010110101001000
3120212002122012102100
411232020222311020
5100040014434030
62453312033400
7305136242301
oct55610526510
916762565370
106142733640
11267245a77a
121235232860
1376b822444
14423b657a8
1525e42e360
hex16e22ad48

6142733640 has 48 divisors (see below), whose sum is σ = 19963885500. Its totient is φ = 1638062208.

The previous prime is 6142733581. The next prime is 6142733659. The reversal of 6142733640 is 463372416.

It is a happy number.

6142733640 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 7 + 3 + 3 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5709011364 + 433722276 = 75558^2 + 20826^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6142733595 and 6142733604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8531215 + ... + 8531934.

Almost surely, 26142733640 is an apocalyptic number.

6142733640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6142733640 is an abundant number, since it is smaller than the sum of its proper divisors (13821151860).

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

6142733640 is a wasteful number, since it uses less digits than its factorization.

6142733640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063166 (or 17063159 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6142733640 is about 78375.5933948828. The cubic root of 6142733640 is about 1831.4169443410.

The spelling of 6142733640 in words is "six billion, one hundred forty-two million, seven hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 17063149 34126298 51189447 68252596 85315745 102378894 136505192 153568341 170631490 204757788 255947235 307136682 341262980 409515576 511894470 614273364 682525960 767841705 1023788940 1228546728 1535683410 2047577880 3071366820 6142733640