Search a number
-
+
914292704340 = 223255079403913
BaseRepresentation
bin11010100111000000001…
…01111000010001010100
310020101221122000200200100
431103200011320101110
5104434432413014330
61540004213414100
7123025011521331
oct15234005702124
93211848020610
10914292704340
1132282743a144
1212924293a330
13682a9910102
14323756d3988
1518bb21cc060
hexd4e0178454

914292704340 has 36 divisors (see below), whose sum is σ = 2773354537044. Its totient is φ = 243811387776.

The previous prime is 914292704287. The next prime is 914292704363. The reversal of 914292704340 is 43407292419.

914292704340 is a `hidden beast` number, since 9 + 14 + 29 + 270 + 4 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 654963252804 + 259329451536 = 809298^2 + 509244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×9142927043402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2539701777 + ... + 2539702136.

It is an arithmetic number, because the mean of its divisors is an integer number (77037626029).

Almost surely, 2914292704340 is an apocalyptic number.

914292704340 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

914292704340 is an abundant number, since it is smaller than the sum of its proper divisors (1859061832704).

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

914292704340 is a wasteful number, since it uses less digits than its factorization.

914292704340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079403928 (or 5079403923 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 914292704340 its reverse (43407292419), we get a palindrome (957699996759).

The spelling of 914292704340 in words is "nine hundred fourteen billion, two hundred ninety-two million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5079403913 10158807826 15238211739 20317615652 25397019565 30476423478 45714635217 50794039130 60952846956 76191058695 91429270434 101588078260 152382117390 182858540868 228573176085 304764234780 457146352170 914292704340