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134220040022431 = 1123144380773067
BaseRepresentation
bin11110100001001010001001…
…110011101010100110011111
3122121020022101100211021220101
4132201022021303222212133
5120043030120221204211
61153243500221201531
740162035500066146
oct3641121163524637
9577208340737811
10134220040022431
1139848443535500
12130788aba002a7
1359b7b8444b50c
1425203dad2275d
15107b587eec5c1
hex7a1289cea99f

134220040022431 has 24 divisors (see below), whose sum is σ = 152633958769152. Its totient is φ = 117815594067600.

The previous prime is 134220040022417. The next prime is 134220040022449.

134220040022431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134220040022431 - 227 = 134219905804703 is a prime.

It is a super-2 number, since 2×1342200400224312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134220040022431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134220040022491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38724841 + ... + 42048226.

It is an arithmetic number, because the mean of its divisors is an integer number (6359748282048).

Almost surely, 2134220040022431 is an apocalyptic number.

134220040022431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134220040022431 is a deficient number, since it is larger than the sum of its proper divisors (18413918746721).

134220040022431 is a wasteful number, since it uses less digits than its factorization.

134220040022431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80773563 (or 80773552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 134220040022431 in words is "one hundred thirty-four trillion, two hundred twenty billion, forty million, twenty-two thousand, four hundred thirty-one".

Divisors: 1 11 31 121 341 443 3751 4873 13733 53603 151063 1661693 80773067 888503737 2503965077 9773541107 27543615847 35782468681 302979774317 393607155491 1109256529111 4329678710401 12201821820221 134220040022431