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423131412144 = 24373734035667
BaseRepresentation
bin1100010100001001001…
…10001111011010110000
31111110011202101212011010
412022010212033122300
523413033120142034
6522214530350520
742366406442250
oct6120446173260
91443152355133
10423131412144
111534a3718741
126a009a2b440
1330b939bb96c
14166a02db960
15b0175153e9
hex628498f6b0

423131412144 has 80 divisors (see below), whose sum is σ = 1283008540928. Its totient is φ = 117627261696.

The previous prime is 423131412133. The next prime is 423131412161. The reversal of 423131412144 is 441214131324.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17005402 + ... + 17030265.

Almost surely, 2423131412144 is an apocalyptic number.

It is an amenable number.

423131412144 is an abundant number, since it is smaller than the sum of its proper divisors (859877128784).

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

423131412144 is a wasteful number, since it uses less digits than its factorization.

423131412144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34035722 (or 34035716 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 423131412144 its reverse (441214131324), we get a palindrome (864345543468).

The spelling of 423131412144 in words is "four hundred twenty-three billion, one hundred thirty-one million, four hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 12432 34035667 68071334 102107001 136142668 204214002 238249669 272285336 408428004 476499338 544570672 714749007 816856008 952998676 1259319679 1429498014 1633712016 1905997352 2518639358 2858996028 3777959037 3811994704 5037278716 5717992056 7555918074 8815237753 10074557432 11435984112 15111836148 17630475506 20149114864 26445713259 30223672296 35260951012 52891426518 60447344592 70521902024 105782853036 141043804048 211565706072 423131412144