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412310231040042 = 232149695922091159
BaseRepresentation
bin101110110111111100111010…
…0110110111100000000101010
32000001212110202220202221011100
41131233321310312330000222
5413020242323121240132
64020524412200542230
7152563300614166416
oct13557716466740052
92001773686687140
10412310231040042
1110a413872575595
123a2b059a181976
131490a8c358b18a
1473b5cc906dd46
1532a0206a0737c
hex176fe74dbc02a

412310231040042 has 48 divisors (see below), whose sum is σ = 899463670560000. Its totient is φ = 136494726299232.

The previous prime is 412310231040007. The next prime is 412310231040077. The reversal of 412310231040042 is 240040132013214.

412310231040042 is a `hidden beast` number, since 4 + 1 + 23 + 1 + 0 + 231 + 0 + 400 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (412310231040007) and next prime (412310231040077).

It is a junction number, because it is equal to n+sod(n) for n = 412310231039988 and 412310231040015.

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, 7618459 + ... + 29709617.

It is an arithmetic number, because the mean of its divisors is an integer number (18738826470000).

Almost surely, 2412310231040042 is an apocalyptic number.

412310231040042 is an abundant number, since it is smaller than the sum of its proper divisors (487153439519958).

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

412310231040042 is a wasteful number, since it uses less digits than its factorization.

412310231040042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22098275 (or 22098272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412310231040042 its reverse (240040132013214), we get a palindrome (652350363053256).

The spelling of 412310231040042 in words is "four hundred twelve trillion, three hundred ten billion, two hundred thirty-one million, forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 6959 13918 20877 41754 62631 125262 1036891 2073782 3110673 6221346 9332019 18664038 22091159 44182318 66273477 132546954 198820431 397640862 3291582691 6583165382 9874748073 19749496146 29624244219 59248488438 153732375481 307464750962 461197126443 922394252886 1383591379329 2767182758658 22906123946669 45812247893338 68718371840007 137436743680014 206155115520021 412310231040042