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10141402401 = 3213109795217
BaseRepresentation
bin10010111000111100…
…11000010100100001
3222011202211121202100
421130132120110201
5131232144334101
64354153241013
7506212332564
oct113436302441
928152747670
1010141402401
1143346147a9
121b70403169
13c58098c30
146c2c504db
153e54dee86
hex25c798521

10141402401 has 24 divisors (see below), whose sum is σ = 15920264360. Its totient is φ = 6183599616.

The previous prime is 10141402391. The next prime is 10141402417. The reversal of 10141402401 is 10420414101.

10141402401 is a `hidden beast` number, since 10 + 1 + 414 + 0 + 240 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 532501776 + 9608900625 = 23076^2 + 98025^2 .

It is not a de Polignac number, because 10141402401 - 27 = 10141402273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10141402001) 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, 384856 + ... + 410361.

Almost surely, 210141402401 is an apocalyptic number.

It is an amenable number.

10141402401 is a deficient number, since it is larger than the sum of its proper divisors (5778861959).

10141402401 is a wasteful number, since it uses less digits than its factorization.

10141402401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795345 (or 795342 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10141402401 its reverse (10420414101), we get a palindrome (20561816502).

The spelling of 10141402401 in words is "ten billion, one hundred forty-one million, four hundred two thousand, four hundred one".

Divisors: 1 3 9 13 39 109 117 327 981 1417 4251 12753 795217 2385651 7156953 10337821 31013463 86678653 93040389 260035959 780107877 1126822489 3380467467 10141402401