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311431312141340 = 2251009115201133963
BaseRepresentation
bin100011011001111101100000…
…0101110110110110000011100
31111211200112122121111020001212
41012303323000232312300130
5311304442311402010330
63022205323015523552
7122412112144452266
oct10663730056666034
91454615577436055
10311431312141340
1190260306784a96
122ab195843895b8
13104a0b01328691
1456c94da97ab36
15260109a828295
hex11b3ec0bb6c1c

311431312141340 has 48 divisors (see below), whose sum is σ = 654664497281760. Its totient is φ = 124447054233600.

The previous prime is 311431312141283. The next prime is 311431312141361. The reversal of 311431312141340 is 43141213134113.

It is a happy number.

It is a super-2 number, since 2×3114313121413402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311431312141297 and 311431312141306.

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, 2324689199 + ... + 2324823161.

It is an arithmetic number, because the mean of its divisors is an integer number (13638843693370).

Almost surely, 2311431312141340 is an apocalyptic number.

It is an amenable number.

311431312141340 is an abundant number, since it is smaller than the sum of its proper divisors (343233185140420).

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

311431312141340 is a wasteful number, since it uses less digits than its factorization.

311431312141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250182 (or 250180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 311431312141340 its reverse (43141213134113), we get a palindrome (354572525275453).

The spelling of 311431312141340 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twelve million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1009 2018 4036 5045 10090 20180 115201 133963 230402 267926 460804 535852 576005 669815 1152010 1339630 2304020 2679260 116237809 135168667 232475618 270337334 464951236 540674668 581189045 675843335 1162378090 1351686670 2324756180 2703373340 15432671563 30865343126 61730686252 77163357815 154326715630 308653431260 15571565607067 31143131214134 62286262428268 77857828035335 155715656070670 311431312141340