Search a number
-
+
314424000033 = 31113732923077
BaseRepresentation
bin1001001001101010010…
…00010111111000100001
31010001120202020011000120
410210311020113320201
520122420021000113
6400235553310453
731500501621513
oct4446510277041
91101522204016
10314424000033
1111138a172a90
1250b2bb65429
132385b233080
141130aa69bb3
1582a3b46a23
hex4935217e21

314424000033 has 16 divisors (see below), whose sum is σ = 492524308416. Its totient is φ = 175901538240.

The previous prime is 314424000029. The next prime is 314424000067. The reversal of 314424000033 is 330000424413.

It is not a de Polignac number, because 314424000033 - 22 = 314424000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314423999967 and 314424000012.

It is not an unprimeable number, because it can be changed into a prime (314424000833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366461110 + ... + 366461967.

It is an arithmetic number, because the mean of its divisors is an integer number (30782769276).

Almost surely, 2314424000033 is an apocalyptic number.

314424000033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314424000033 is a deficient number, since it is larger than the sum of its proper divisors (178100308383).

314424000033 is a wasteful number, since it uses less digits than its factorization.

314424000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732923104.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 314424000033 its reverse (330000424413), we get a palindrome (644424424446).

The spelling of 314424000033 in words is "three hundred fourteen billion, four hundred twenty-four million, thirty-three", and thus it is an aban number.

Divisors: 1 3 11 13 33 39 143 429 732923077 2198769231 8062153847 9528000001 24186461541 28584000003 104808000011 314424000033