Search a number
-
+
1314434123331 = 374912259631
BaseRepresentation
bin10011001000001010011…
…000010000011001000011
311122122210011200220001120
4103020022120100121003
5133013430113421311
62443502005003323
7163651621462530
oct23101230203103
94578704626046
101314434123331
114674a288273a
121928b53b3543
1396c48634614
1447894589d87
15242d120c706
hex1320a610643

1314434123331 has 24 divisors (see below), whose sum is σ = 2007042596352. Its totient is φ = 749572580400.

The previous prime is 1314434123291. The next prime is 1314434123333. The reversal of 1314434123331 is 1333214344131.

It is not a de Polignac number, because 1314434123331 - 223 = 1314425734723 is a prime.

It is a super-2 number, since 2×13144341233312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1314434123292 and 1314434123301.

It is not an unprimeable number, because it can be changed into a prime (1314434123333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4932886 + ... + 5192516.

It is an arithmetic number, because the mean of its divisors is an integer number (83626774848).

Almost surely, 21314434123331 is an apocalyptic number.

1314434123331 is a deficient number, since it is larger than the sum of its proper divisors (692608473021).

1314434123331 is an frugal number, since it uses more digits than its factorization.

1314434123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260623 (or 260132 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

Adding to 1314434123331 its reverse (1333214344131), we get a palindrome (2647648467462).

The spelling of 1314434123331 in words is "one trillion, three hundred fourteen billion, four hundred thirty-four million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 21 491 1473 3437 10311 241081 259631 723243 778893 1687567 1817417 5062701 5452251 127478821 382436463 892351747 2677055241 62592101111 187776303333 438144707777 1314434123331