Search a number
-
+
102414423220431 = 3713114337187477
BaseRepresentation
bin10111010010010100110111…
…010100001110000011001111
3111102121201112020120021002220
4113102110313110032003033
5101410424214321023211
61001452311515350423
730400124610662550
oct2722246724160317
9442551466507086
10102414423220431
112a6a5792a73343
12b5a0727152413
13451b83c208cba
141b40c55228327
15bc907a527806
hex5d253750e0cf

102414423220431 has 16 divisors (see below), whose sum is σ = 156061267674624. Its totient is φ = 58522079731104.

The previous prime is 102414423220411. The next prime is 102414423220451. The reversal of 102414423220431 is 134022324414201.

It is an interprime number because it is at equal distance from previous prime (102414423220411) and next prime (102414423220451).

It is not a de Polignac number, because 102414423220431 - 25 = 102414423220399 is a prime.

It is a super-4 number, since 4×1024144232204314 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102414423220392 and 102414423220401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414423220411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15839736 + ... + 21347741.

It is an arithmetic number, because the mean of its divisors is an integer number (9753829229664).

Almost surely, 2102414423220431 is an apocalyptic number.

102414423220431 is a deficient number, since it is larger than the sum of its proper divisors (53646844454193).

102414423220431 is a wasteful number, since it uses less digits than its factorization.

102414423220431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37318630.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 102414423220431 its reverse (134022324414201), we get a palindrome (236436747634632).

The spelling of 102414423220431 in words is "one hundred two trillion, four hundred fourteen billion, four hundred twenty-three million, two hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 131143 393429 918001 2754003 37187477 111562431 260312339 780937017 4876877296211 14630631888633 34138141073477 102414423220431