Search a number
-
+
10340400314421 = 34733174159977
BaseRepresentation
bin1001011001111000111111…
…1000110011100000110101
31100121112101021110220020000
42112132033320303200311
52323404114440030141
633554151521101513
72115032521312122
oct226361770634065
940545337426200
1010340400314421
113327380449521
1211b0057187899
135a0131c5b108
1427a699a85749
1512de9e3105b6
hex9678fe33835

10340400314421 has 20 divisors (see below), whose sum is σ = 15467844286092. Its totient is φ = 6884195531328.

The previous prime is 10340400314383. The next prime is 10340400314429. The reversal of 10340400314421 is 12441300404301.

10340400314421 is a `hidden beast` number, since 1 + 0 + 340 + 4 + 0 + 0 + 314 + 4 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4864168496196 + 5476231818225 = 2205486^2 + 2340135^2 .

It is not a de Polignac number, because 10340400314421 - 29 = 10340400313909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340400314429) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87020616 + ... + 87139361.

Almost surely, 210340400314421 is an apocalyptic number.

It is an amenable number.

10340400314421 is a deficient number, since it is larger than the sum of its proper divisors (5127443971671).

10340400314421 is an equidigital number, since it uses as much as digits as its factorization.

10340400314421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174160722 (or 174160713 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10340400314421 its reverse (12441300404301), we get a palindrome (22781700718722).

The spelling of 10340400314421 in words is "ten trillion, three hundred forty billion, four hundred million, three hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 27 81 733 2199 6597 19791 59373 174159977 522479931 1567439793 4702319379 14106958137 127659263141 382977789423 1148933368269 3446800104807 10340400314421