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423413412132 = 2231915114838293
BaseRepresentation
bin1100010100101010110…
…01111111000100100100
31111110220102000221102010
412022111121333010210
523414122313142012
6522302522514220
742406402422534
oct6122531770444
91443812027363
10423413412132
11153628918487
126a088365970
1330c0a256769
14166c99474c4
15b03216ac3c
hex629567f124

423413412132 has 96 divisors (see below), whose sum is σ = 1047682155520. Its totient is φ = 132718435200.

The previous prime is 423413412109. The next prime is 423413412133. The reversal of 423413412132 is 231214314324.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 423413412132.

It is not an unprimeable number, because it can be changed into a prime (423413412133) 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 31 ways as a sum of consecutive naturals, for example, 51052578 + ... + 51060870.

Almost surely, 2423413412132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423413412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523841077760).

423413412132 is an abundant number, since it is smaller than the sum of its proper divisors (624268743388).

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

423413412132 is a wasteful number, since it uses less digits than its factorization.

423413412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9951 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 423413412132 its reverse (231214314324), we get a palindrome (654627726456).

The spelling of 423413412132 in words is "four hundred twenty-three billion, four hundred thirteen million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 151 228 302 453 604 906 1483 1812 2869 2966 4449 5738 5932 8293 8607 8898 11476 16586 17214 17796 24879 28177 33172 34428 49758 56354 84531 99516 112708 157567 169062 223933 315134 338124 447866 472701 630268 671799 895732 945402 1252243 1343598 1890804 2504486 2687196 3756729 4254727 5008972 7513458 8509454 12298519 12764181 15026916 17018908 23792617 24597038 25528362 36895557 47585234 49194076 51056724 71377851 73791114 95170468 142755702 147582228 233671861 285511404 467343722 701015583 934687444 1402031166 1857076369 2804062332 3714152738 5571229107 7428305476 11142458214 22284916428 35284451011 70568902022 105853353033 141137804044 211706706066 423413412132