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13410242340401 = 2937113110600849
BaseRepresentation
bin1100001100100101000010…
…1110110010011000110001
31202111000011211211200221002
43003021100232302120301
53224203134014343101
644304325201411345
72552600210065214
oct303112056623061
952430154750832
1013410242340401
114300285219025
121606bb3039b55
137637712740ba
143450b85d177b
15183c7035cd6b
hexc3250bb2631

13410242340401 has 16 divisors (see below), whose sum is σ = 14373686466000. Its totient is φ = 12486393335808.

The previous prime is 13410242340307. The next prime is 13410242340491. The reversal of 13410242340401 is 10404324201431.

It can be written as a sum of positive squares in 8 ways, for example, as 511226430001 + 12899015910400 = 715001^2 + 3591520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13410242340401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13410242340491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55179176 + ... + 55421673.

It is an arithmetic number, because the mean of its divisors is an integer number (898355404125).

Almost surely, 213410242340401 is an apocalyptic number.

It is an amenable number.

13410242340401 is a deficient number, since it is larger than the sum of its proper divisors (963444125599).

13410242340401 is a wasteful number, since it uses less digits than its factorization.

13410242340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110601028.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 13410242340401 its reverse (10404324201431), we get a palindrome (23814566541832).

The spelling of 13410242340401 in words is "thirteen trillion, four hundred ten billion, two hundred forty-two million, three hundred forty thousand, four hundred one".

Divisors: 1 29 37 113 1073 3277 4181 121249 110600849 3207424621 4092231413 12497895937 118674710977 362438982173 462422149669 13410242340401