Search a number
-
+
133314240431 = 1753147962531
BaseRepresentation
bin111110000101000100…
…1011101111110101111
3110202002220021002210102
41330022021131332233
54141011421143211
6141124350501315
712426436226621
oct1741211357657
9422086232712
10133314240431
11515a1460009
1221a0680483b
13c757701848
146649710c11
153703ccaa3b
hex1f0a25dfaf

133314240431 has 8 divisors (see below), whose sum is σ = 143819581104. Its totient is φ = 123104824960.

The previous prime is 133314240413. The next prime is 133314240457. The reversal of 133314240431 is 134042413331.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133314240431 is a prime.

It is a super-2 number, since 2×1333142404312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133314240394 and 133314240403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133314240491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73980365 + ... + 73982166.

It is an arithmetic number, because the mean of its divisors is an integer number (17977447638).

Almost surely, 2133314240431 is an apocalyptic number.

133314240431 is a deficient number, since it is larger than the sum of its proper divisors (10505340673).

133314240431 is a wasteful number, since it uses less digits than its factorization.

133314240431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147962601.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 133314240431 its reverse (134042413331), we get a palindrome (267356653762).

The spelling of 133314240431 in words is "one hundred thirty-three billion, three hundred fourteen million, two hundred forty thousand, four hundred thirty-one".

Divisors: 1 17 53 901 147962531 2515363027 7842014143 133314240431