Search a number
-
+
313314201414 = 23317341300873
BaseRepresentation
bin1001000111100101111…
…10110100111101000110
31002221201101221112112000
410203302332310331012
520113131413421124
6355533510410130
731431134525154
oct4436276647506
91087641845460
10313314201414
1111096a775945
1250880360946
13237123313b6
14112434da3d4
15823b4c76c9
hex48f2fb4f46

313314201414 has 32 divisors (see below), whose sum is σ = 737209887840. Its totient is φ = 98294651136.

The previous prime is 313314201383. The next prime is 313314201427. The reversal of 313314201414 is 414102413313.

313314201414 is a `hidden beast` number, since 3 + 1 + 33 + 14 + 201 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170649519 + ... + 170651354.

It is an arithmetic number, because the mean of its divisors is an integer number (23037808995).

Almost surely, 2313314201414 is an apocalyptic number.

313314201414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

313314201414 is an abundant number, since it is smaller than the sum of its proper divisors (423895686426).

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

313314201414 is a wasteful number, since it uses less digits than its factorization.

313314201414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341300901 (or 341300895 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 313314201414 its reverse (414102413313), we get a palindrome (727416614727).

The spelling of 313314201414 in words is "three hundred thirteen billion, three hundred fourteen million, two hundred one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 341300873 682601746 1023902619 2047805238 3071707857 5802114841 6143415714 9215123571 11604229682 17406344523 18430247142 34812689046 52219033569 104438067138 156657100707 313314201414