Search a number
-
+
814000081776 = 24372422619291
BaseRepresentation
bin10111101100001100010…
…11111000101101110000
32212211002001202120201220
423312012023320231300
5101314033010104101
61421540234425040
7112544452350660
oct13660613705560
92784061676656
10814000081776
11294240909412
12111912b92180
135b9b55b682b
142b57d8601a0
151629243e636
hexbd862f8b70

814000081776 has 40 divisors (see below), whose sum is σ = 2403238337664. Its totient is φ = 232571451840.

The previous prime is 814000081721. The next prime is 814000081787. The reversal of 814000081776 is 677180000418.

It is a happy number.

It is a super-2 number, since 2×8140000817762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1211309310 + ... + 1211309981.

Almost surely, 2814000081776 is an apocalyptic number.

It is an amenable number.

814000081776 is an abundant number, since it is smaller than the sum of its proper divisors (1589238255888).

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

814000081776 is a wasteful number, since it uses less digits than its factorization.

814000081776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422619309 (or 2422619303 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 814000081776 in words is "eight hundred fourteen billion, eighty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2422619291 4845238582 7267857873 9690477164 14535715746 16958335037 19380954328 29071431492 33916670074 38761908656 50875005111 58142862984 67833340148 101750010222 116285725968 135666680296 203500020444 271333360592 407000040888 814000081776