Search a number
-
+
31440410334 = 2341711416271
BaseRepresentation
bin11101010001111111…
…101001011011011110
310000011010200022220000
4131101333221123132
51003342221112314
622235445035130
72162060035614
oct352177513336
9100133608800
1031440410334
11123743236a3
1261153b5aa6
132c709220c8
1417438796b4
15c40302209
hex751fe96de

31440410334 has 40 divisors (see below), whose sum is σ = 74593921248. Its totient is φ = 9863657280.

The previous prime is 31440410299. The next prime is 31440410359. The reversal of 31440410334 is 43301404413.

31440410334 is a `hidden beast` number, since 314 + 4 + 0 + 4 + 10 + 334 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31440410298 and 31440410307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5705382 + ... + 5710889.

Almost surely, 231440410334 is an apocalyptic number.

31440410334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31440410334 is an abundant number, since it is smaller than the sum of its proper divisors (43153510914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31440410334 is a wasteful number, since it uses less digits than its factorization.

31440410334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416302 (or 11416293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31440410334 its reverse (43301404413), we get a palindrome (74741814747).

The spelling of 31440410334 in words is "thirty-one billion, four hundred forty million, four hundred ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 11416271 22832542 34248813 68497626 102746439 194076607 205492878 308239317 388153214 582229821 616478634 924717951 1164459642 1746689463 1849435902 3493378926 5240068389 10480136778 15720205167 31440410334