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313142023431342 = 23272485254154217
BaseRepresentation
bin100011100110011010000111…
…1000100100010010010101110
31112001202002022000120221212100
41013030310033010202102232
5312021004330444300332
63025555243135515530
7122646523154502510
oct10714641704422256
91461662260527770
10313142023431342
119085a8716a4266
122b155032088ba6
1310596220c11771
145748224ac3bb0
1526308216a767c
hex11ccd0f1224ae

313142023431342 has 24 divisors (see below), whose sum is σ = 775399296116016. Its totient is φ = 89469149551776.

The previous prime is 313142023431337. The next prime is 313142023431353. The reversal of 313142023431342 is 243134320241313.

313142023431342 is a `hidden beast` number, since 3 + 1 + 3 + 14 + 202 + 3 + 431 + 3 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313142023431297 and 313142023431306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242627076983 + ... + 1242627077234.

It is an arithmetic number, because the mean of its divisors is an integer number (32308304004834).

Almost surely, 2313142023431342 is an apocalyptic number.

313142023431342 is an abundant number, since it is smaller than the sum of its proper divisors (462257272684674).

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

313142023431342 is a wasteful number, since it uses less digits than its factorization.

313142023431342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485254154232 (or 2485254154229 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 313142023431342 its reverse (243134320241313), we get a palindrome (556276343672655).

The spelling of 313142023431342 in words is "three hundred thirteen trillion, one hundred forty-two billion, twenty-three million, four hundred thirty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2485254154217 4970508308434 7455762462651 14911524925302 17396779079519 22367287387953 34793558159038 44734574775906 52190337238557 104380674477114 156571011715671 313142023431342