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6142158288 = 243372031137
BaseRepresentation
bin1011011100001100…
…11110010111010000
3120212001112222012000
411232012132113100
5100034343031123
62453251434000
7305131325010
oct55606362720
916761488160
106142158288
1126720a7482
121234bb5900
1376b6805b6
14423a55c40
1525e368b43
hex16e19e5d0

6142158288 has 80 divisors (see below), whose sum is σ = 20148888960. Its totient is φ = 1754901504.

The previous prime is 6142158233. The next prime is 6142158307. The reversal of 6142158288 is 8828512416.

6142158288 is a `hidden beast` number, since 61 + 4 + 2 + 1 + 582 + 8 + 8 = 666.

It is a super-2 number, since 2×61421582882 = 75452216869694181888, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1012545 + ... + 1018592.

It is an arithmetic number, because the mean of its divisors is an integer number (251861112).

Almost surely, 26142158288 is an apocalyptic number.

It is an amenable number.

6142158288 is an abundant number, since it is smaller than the sum of its proper divisors (14006730672).

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

6142158288 is a wasteful number, since it uses less digits than its factorization.

6142158288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031161 (or 2031149 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 6142158288 is about 78371.9228295440. The cubic root of 6142158288 is about 1831.3597633765.

The spelling of 6142158288 in words is "six billion, one hundred forty-two million, one hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 2031137 4062274 6093411 8124548 12186822 14217959 16249096 18280233 24373644 28435918 32498192 36560466 42653877 48747288 54840699 56871836 73120932 85307754 97494576 109681398 113743672 127961631 146241864 170615508 219362796 227487344 255923262 292483728 341231016 383884893 438725592 511846524 682462032 767769786 877451184 1023693048 1535539572 2047386096 3071079144 6142158288