Search a number
-
+
3134174656905 = 325533677357389
BaseRepresentation
bin101101100110111011010…
…111011111100110001001
3102002121212000120001202100
4231212323113133212021
5402322242203010110
610355453040024013
7442302525010605
oct55467327374611
912077760501670
103134174656905
11aa9217982386
12427510902009
13199722579006
14ab9a29bc505
15567d8d2cbc0
hex2d9bb5df989

3134174656905 has 48 divisors (see below), whose sum is σ = 5536591529040. Its totient is φ = 1639570343424.

The previous prime is 3134174656829. The next prime is 3134174656919. The reversal of 3134174656905 is 5096564714313.

3134174656905 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 1 + 74 + 6 + 569 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 716955079824 + 2417219577081 = 846732^2 + 1554741^2 .

It is not a de Polignac number, because 3134174656905 - 227 = 3134040439177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8590951 + ... + 8948339.

It is an arithmetic number, because the mean of its divisors is an integer number (115345656855).

Almost surely, 23134174656905 is an apocalyptic number.

It is an amenable number.

3134174656905 is a deficient number, since it is larger than the sum of its proper divisors (2402416872135).

3134174656905 is a wasteful number, since it uses less digits than its factorization.

3134174656905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361130 (or 361127 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3134174656905 in words is "three trillion, one hundred thirty-four billion, one hundred seventy-four million, six hundred fifty-six thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 3677 11031 18385 33093 55155 165465 194881 357389 584643 974405 1072167 1753929 1786945 2923215 3216501 5360835 8769645 16082505 18941617 56824851 94708085 170474553 284124255 852372765 1314119353 3942358059 6570596765 11827074177 19711790295 59135370885 69648325709 208944977127 348241628545 626834931381 1044724885635 3134174656905