Search a number
-
+
314133133212104 = 231710122869331189
BaseRepresentation
bin100011101101100111101000…
…1110100010011100111001000
31112012020211112011111110020012
41013123033101310103213020
5312133224124100241404
63032034434050051052
7123111240611600153
oct10733172164234710
91465224464443205
10314133133212104
119110212829a928
122b295132879a88
13106388203b663b
1457801a6530c9a
15264b4cc6c9a6e
hex11db3d1d139c8

314133133212104 has 32 divisors (see below), whose sum is σ = 629821380972600. Its totient is φ = 146363719603200.

The previous prime is 314133133212011. The next prime is 314133133212109. The reversal of 314133133212104 is 401212331331413.

It can be written as a sum of positive squares in 4 ways, for example, as 313930004524900 + 203128687204 = 17718070^2 + 450698^2 .

It is not an unprimeable number, because it can be changed into a prime (314133133212109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11434651859 + ... + 11434679330.

Almost surely, 2314133133212104 is an apocalyptic number.

314133133212104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314133133212104 is an abundant number, since it is smaller than the sum of its proper divisors (315688247760496).

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

314133133212104 is a wasteful number, since it uses less digits than its factorization.

314133133212104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22869331313 (or 22869331309 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 314133133212104 its reverse (401212331331413), we get a palindrome (715345464543517).

The spelling of 314133133212104 in words is "three hundred fourteen trillion, one hundred thirty-three billion, one hundred thirty-three million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 17 34 68 101 136 202 404 808 1717 3434 6868 13736 22869331189 45738662378 91477324756 182954649512 388778630213 777557260426 1555114520852 2309802450089 3110229041704 4619604900178 9239209800356 18478419600712 39266641651513 78533283303026 157066566606052 314133133212104