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8142904881 = 3231971931559
BaseRepresentation
bin1111001010101101…
…01101111000110001
3210000111022102112200
413211112231320301
5113134040424011
63424002413413
7405534356316
oct74526557061
923014272480
108142904881
1134a9503a61
1216b3061269
139ca029717
14573666d0d
15329d27856
hex1e55ade31

8142904881 has 48 divisors (see below), whose sum is σ = 12338027520. Its totient is φ = 5169070080.

The previous prime is 8142904873. The next prime is 8142904901. The reversal of 8142904881 is 1884092418.

8142904881 is a `hidden beast` number, since 81 + 4 + 2 + 90 + 488 + 1 = 666.

It is not a de Polignac number, because 8142904881 - 23 = 8142904873 is a prime.

It is a super-2 number, since 2×81429048812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8142904801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5222380 + ... + 5223938.

It is an arithmetic number, because the mean of its divisors is an integer number (257042240).

Almost surely, 28142904881 is an apocalyptic number.

It is an amenable number.

8142904881 is a deficient number, since it is larger than the sum of its proper divisors (4195122639).

8142904881 is a wasteful number, since it uses less digits than its factorization.

8142904881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 8142904881 is about 90238.0456404060. The cubic root of 8142904881 is about 2011.8385264641.

The spelling of 8142904881 in words is "eight billion, one hundred forty-two million, nine hundred four thousand, eight hundred eighty-one".

Divisors: 1 3 9 31 93 97 193 279 291 579 873 1559 1737 3007 4677 5983 9021 14031 17949 18721 27063 48329 53847 56163 144987 151223 168489 300887 434961 453669 580351 902661 1361007 1741053 2707983 4687913 5223159 9327497 14063739 27982491 29186039 42191217 83947473 87558117 262674351 904767209 2714301627 8142904881