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234023416146 = 232131497339157
BaseRepresentation
bin1101100111110011100…
…0011111000101010010
3211101001111100022020100
43121330320133011102
512313234443304041
6255301525553230
722623214134042
oct3317470370522
9741044308210
10234023416146
1190281132343
1239431b75816
13190b7113c90
14b480a17722
15614a3eb6b6
hex367ce1f152

234023416146 has 96 divisors (see below), whose sum is σ = 550529506800. Its totient is φ = 71418557952.

The previous prime is 234023416139. The next prime is 234023416147. The reversal of 234023416146 is 641614320432.

234023416146 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 2 + 34 + 1 + 614 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50658755625 + 183364660521 = 225075^2 + 428211^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 234023416146.

It is not an unprimeable number, because it can be changed into a prime (234023416147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25552200 + ... + 25561356.

Almost surely, 2234023416146 is an apocalyptic number.

234023416146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 234023416146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275264753400).

234023416146 is an abundant number, since it is smaller than the sum of its proper divisors (316506090654).

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

234023416146 is a wasteful number, since it uses less digits than its factorization.

234023416146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 234023416146 its reverse (641614320432), we get a palindrome (875637736578).

The spelling of 234023416146 in words is "two hundred thirty-four billion, twenty-three million, four hundred sixteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 733 894 1341 1466 1937 2199 2682 3874 4398 5811 6597 9157 9529 11622 13194 17433 18314 19058 27471 28587 34866 54942 57174 82413 85761 109217 119041 164826 171522 218434 238082 327651 357123 655302 714246 982953 1071369 1364393 1419821 1965906 2142738 2728786 2839642 4093179 4259463 6712081 8186358 8518926 12279537 12778389 13424162 17737109 20136243 24559074 25556778 35474218 40272486 53211327 60408729 87257053 106422654 120817458 159633981 174514106 261771159 319267962 523542318 785313477 1000100069 1570626954 2000200138 3000300207 6000600414 9000900621 13001300897 18001801242 26002601794 39003902691 78007805382 117011708073 234023416146