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314343210042 = 23241809526501
BaseRepresentation
bin1001001001100000101…
…00001011110000111010
31010001101010012120222200
410210300110023300322
520122233330210132
6400223545531030
731465501125261
oct4446024136072
91101333176880
10314343210042
111113486022a4
1250b08aa3a76
1323847587244
14113000395d8
15829b9d8d7c
hex493050bc3a

314343210042 has 48 divisors (see below), whose sum is σ = 698552323560. Its totient is φ = 102098880000.

The previous prime is 314343210029. The next prime is 314343210091. The reversal of 314343210042 is 240012343413.

314343210042 is a `hidden beast` number, since 314 + 343 + 2 + 1 + 0 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 173531398041 + 140811812001 = 416571^2 + 375249^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314343209988 and 314343210015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333792 + ... + 860292.

Almost surely, 2314343210042 is an apocalyptic number.

314343210042 is an abundant number, since it is smaller than the sum of its proper divisors (384209113518).

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

314343210042 is a wasteful number, since it uses less digits than its factorization.

314343210042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527359 (or 527356 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 314343210042 its reverse (240012343413), we get a palindrome (554355553455).

The spelling of 314343210042 in words is "three hundred fourteen billion, three hundred forty-three million, two hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 809 1618 2427 4854 7281 14562 33169 66338 99507 199014 298521 526501 597042 1053002 1579503 3159006 4738509 9477018 21586541 43173082 64759623 129519246 194278869 388557738 425939309 851878618 1277817927 2555635854 3833453781 7666907562 17463511669 34927023338 52390535007 104781070014 157171605021 314343210042