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412230341034 = 2322931575981
BaseRepresentation
bin1011111111110101101…
…01111101000110101010
31110102001001010001211200
411333322311331012222
523223221431403114
6513213114505030
741532311040651
oct5777265750652
91412031101750
10412230341034
1114990a30a666
1267a87135176
132cb47421425
1415d48620198
15aaca4b8409
hex5ffad7d1aa

412230341034 has 96 divisors (see below), whose sum is σ = 931110981840. Its totient is φ = 131804749440.

The previous prime is 412230340999. The next prime is 412230341051. The reversal of 412230341034 is 430143032214.

412230341034 is a `hidden beast` number, since 4 + 12 + 230 + 3 + 410 + 3 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62489025 + 412167852009 = 7905^2 + 642003^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412230340989 and 412230341007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68920324 + ... + 68926304.

Almost surely, 2412230341034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412230341034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465555490920).

412230341034 is an abundant number, since it is smaller than the sum of its proper divisors (518880640806).

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

412230341034 is a wasteful number, since it uses less digits than its factorization.

412230341034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 412230341034 its reverse (430143032214), we get a palindrome (842373373248).

The spelling of 412230341034 in words is "four hundred twelve billion, two hundred thirty million, three hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 157 174 261 314 471 522 841 942 1413 1682 2523 2826 4553 5046 5981 7569 9106 11962 13659 15138 17943 24389 27318 35886 40977 48778 53829 73167 81954 107658 132037 146334 173449 219501 264074 346898 396111 439002 520347 792222 939017 1040694 1188333 1561041 1878034 2376666 2817051 3122082 3829073 5030021 5634102 7658146 8451153 10060042 11487219 15090063 16902306 22974438 27231493 30180126 34461657 45270189 54462986 68923314 81694479 90540378 145870609 163388958 245083437 291741218 437611827 490166874 789713297 875223654 1312835481 1579426594 2369139891 2625670962 4738279782 7107419673 14214839346 22901685613 45803371226 68705056839 137410113678 206115170517 412230341034