Search a number
-
+
131413111413344 = 258775671382567
BaseRepresentation
bin11101111000010011111111…
…110100110001101001100000
3122020021222012200102220002022
4131320103333310301221200
5114211033023010211334
61143254203331441012
736452166256425425
oct3570237764615140
9566258180386068
10131413111413344
1138965a95507412
12128a48a9156168
13584328466c4b7
1424645ddc55d4c
15102d55381682e
hex7784ffd31a60

131413111413344 has 48 divisors (see below), whose sum is σ = 259022272487328. Its totient is φ = 65629681615872.

The previous prime is 131413111413323. The next prime is 131413111413401. The reversal of 131413111413344 is 443314111314131.

It is a super-3 number, since 3×1314131114133443 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1591552349 + ... + 1591634915.

It is an arithmetic number, because the mean of its divisors is an integer number (5396297343486).

Almost surely, 2131413111413344 is an apocalyptic number.

It is an amenable number.

131413111413344 is a deficient number, since it is larger than the sum of its proper divisors (127609161073984).

131413111413344 is an equidigital number, since it uses as much as digits as its factorization.

131413111413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140167 (or 140159 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

Adding to 131413111413344 its reverse (443314111314131), we get a palindrome (574727222727475).

The spelling of 131413111413344 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred eleven million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 877 1754 3508 7016 14032 28064 56713 82567 113426 165134 226852 330268 453704 660536 907408 1321072 1814816 2642144 49737301 72411259 99474602 144822518 198949204 289645036 397898408 579290072 795796816 1158580144 1591593632 2317160288 4682622271 9365244542 18730489084 37460978168 74921956336 149843912672 4106659731667 8213319463334 16426638926668 32853277853336 65706555706672 131413111413344