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6142341060 = 22325172007301
BaseRepresentation
bin1011011100001110…
…01010111111000100
3120212001220020220100
411232013022333010
5100034414403220
62453255404100
7305133015612
oct55607127704
916761806810
106142341060
112672211829
121235083630
1376b71584b
14423aa26b2
1525e3a2d90
hex16e1cafc4

6142341060 has 72 divisors (see below), whose sum is σ = 19727764056. Its totient is φ = 1541606400.

The previous prime is 6142341059. The next prime is 6142341083. The reversal of 6142341060 is 601432416.

6142341060 is a `hidden beast` number, since 614 + 2 + 3 + 41 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 415181376 + 5727159684 = 20376^2 + 75678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000591 + ... + 1006710.

It is an arithmetic number, because the mean of its divisors is an integer number (273996723).

Almost surely, 26142341060 is an apocalyptic number.

6142341060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6142341060 is an abundant number, since it is smaller than the sum of its proper divisors (13585422996).

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

6142341060 is a wasteful number, since it uses less digits than its factorization.

6142341060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007333 (or 2007328 counting only the distinct ones).

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

The square root of 6142341060 is about 78373.0888762208. The cubic root of 6142341060 is about 1831.3779284336.

Adding to 6142341060 its reverse (601432416), we get a palindrome (6743773476).

The spelling of 6142341060 in words is "six billion, one hundred forty-two million, three hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 2007301 4014602 6021903 8029204 10036505 12043806 18065709 20073010 24087612 30109515 34124117 36131418 40146020 60219030 68248234 72262836 90328545 102372351 120438060 136496468 170620585 180657090 204744702 307117053 341241170 361314180 409489404 511861755 614234106 682482340 1023723510 1228468212 1535585265 2047447020 3071170530 6142341060