Search a number
-
+
34701312446442 = 2328713221261413
BaseRepresentation
bin1111110001111100001110…
…11001101100111111101010
311112212102011010111001012200
413320332013121230333222
514022021241441241232
6201445321324521030
710211041605005325
oct770760731547752
9145772133431180
1034701312446442
111006982023a7a4
123a8541b3b0176
131649420579b35
1487d7a40317bc
154029da18977c
hex1f8f8766cfea

34701312446442 has 24 divisors (see below), whose sum is σ = 75194806502244. Its totient is φ = 11565776528064.

The previous prime is 34701312446441. The next prime is 34701312446447. The reversal of 34701312446442 is 24464421310743.

It is a happy number.

34701312446442 is a `hidden beast` number, since 3 + 4 + 70 + 13 + 124 + 4 + 6 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25031519928801 + 9669792517641 = 5003151^2 + 3109629^2 .

It is not an unprimeable number, because it can be changed into a prime (34701312446441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110473873 + ... + 110787540.

Almost surely, 234701312446442 is an apocalyptic number.

34701312446442 is an abundant number, since it is smaller than the sum of its proper divisors (40493494055802).

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

34701312446442 is a wasteful number, since it uses less digits than its factorization.

34701312446442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221270134 (or 221270131 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 34701312446442 in words is "thirty-four trillion, seven hundred one billion, three hundred twelve million, four hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 8713 17426 26139 52278 78417 156834 221261413 442522826 663784239 1327568478 1991352717 3982705434 1927850691469 3855701382938 5783552074407 11567104148814 17350656223221 34701312446442