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4013331423431 = 1129431136593929
BaseRepresentation
bin111010011001101101001…
…100011010000011000111
3112012200002222010011212112
4322121231030122003013
51011223300321022211
612311410552411235
7562645044144611
oct72315514320307
915180088104775
104013331423431
111308053a63390
125499886a6b1b
132315bca4b075
14dc363adbdb1
156e5e157688b
hex3a66d31a0c7

4013331423431 has 64 divisors (see below), whose sum is σ = 4683780288000. Its totient is φ = 3404259962880.

The previous prime is 4013331423421. The next prime is 4013331423467. The reversal of 4013331423431 is 1343241333104.

It is a happy number.

4013331423431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4013331423431 - 210 = 4013331422407 is a prime.

It is a super-3 number, since 3×40133314234313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013331423421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1021461875 + ... + 1021465803.

It is an arithmetic number, because the mean of its divisors is an integer number (73184067000).

Almost surely, 24013331423431 is an apocalyptic number.

4013331423431 is a deficient number, since it is larger than the sum of its proper divisors (670448864569).

4013331423431 is a wasteful number, since it uses less digits than its factorization.

4013331423431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4784.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 4013331423431 its reverse (1343241333104), we get a palindrome (5356572756535).

The spelling of 4013331423431 in words is "four trillion, thirteen billion, three hundred thirty-one million, four hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 11 29 43 113 319 473 659 1243 1247 3277 3929 4859 7249 13717 19111 28337 36047 43219 53449 74467 113941 140911 168947 210221 311707 443977 819137 821773 1253351 1550021 1858417 2159543 2589211 3202081 4883747 4899463 9039503 12875333 19091011 23754973 28481321 35222891 53894093 75087119 92860349 111336073 141628663 210001121 292580843 553639319 825958309 1021463839 1224696803 3218389273 3228746117 6090032509 8484844447 12580976249 35516207287 93333288917 138390738739 364848311221 4013331423431