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4013433333431 = 31432103967391
BaseRepresentation
bin111010011001110011010…
…001001010011010110111
3112012200101001212202002222
4322121303101022122313
51011224002413132211
612311425032552555
7562650422313404
oct72316321123267
915180331782088
104013433333431
1113080a6539925
125499b685275b
13231607bb0042
14dc3734692ab
156e5ea4a71db
hex3a67344a6b7

4013433333431 has 24 divisors (see below), whose sum is σ = 4245631303680. Its totient is φ = 3789935427600.

The previous prime is 4013433333391. The next prime is 4013433333451. The reversal of 4013433333431 is 1343333343104.

It is a de Polignac number, because none of the positive numbers 2k-4013433333431 is a prime.

It is a super-2 number, since 2×40134333334312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4013433333391 and 4013433333400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013433333451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59520746 + ... + 59588136.

It is an arithmetic number, because the mean of its divisors is an integer number (176901304320).

Almost surely, 24013433333431 is an apocalyptic number.

4013433333431 is a deficient number, since it is larger than the sum of its proper divisors (232197970249).

4013433333431 is a wasteful number, since it uses less digits than its factorization.

4013433333431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68547 (or 68504 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 35.

Adding to 4013433333431 its reverse (1343333343104), we get a palindrome (5356766676535).

The spelling of 4013433333431 in words is "four trillion, thirteen billion, four hundred thirty-three million, three hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 31 43 1039 1333 1849 32209 44677 57319 67391 1384987 1921111 2089121 2897813 59554441 70019249 89832203 124605959 2170596719 3010827707 3862784729 93335658917 129465591401 4013433333431