Search a number
-
+
114478015716 = 2234187972
BaseRepresentation
bin110101010011101101…
…0111110010011100100
3101221111011120202010000
41222213122332103210
53333422333000331
6124331313101300
711161605035601
oct1524732762344
9357434522100
10114478015716
1144605945649
121a22a557830
13aa4517704c
14577dc096a8
152ea02e20e6
hex1aa76be4e4

114478015716 has 45 divisors (see below), whose sum is σ = 299284067929. Its totient is φ = 38157308496.

The previous prime is 114478015711. The next prime is 114478015721. The reversal of 114478015716 is 617510874411.

The square root of 114478015716 is 338346.

It is a perfect power (a square), and thus also a powerful number.

114478015716 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 78 + 0 + 1 + 571 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (114478015711) and next prime (114478015721).

It can be written as a sum of positive squares in only one way, i.e., 94907124900 + 19570890816 = 308070^2 + 139896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114478015711) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6080830 + ... + 6099626.

Almost surely, 2114478015716 is an apocalyptic number.

114478015716 is the 338346-th square number.

It is an amenable number.

114478015716 is an abundant number, since it is smaller than the sum of its proper divisors (184806052213).

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

114478015716 is an frugal number, since it uses more digits than its factorization.

114478015716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37610 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 114478015716 in words is "one hundred fourteen billion, four hundred seventy-eight million, fifteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 18797 37594 56391 75188 112782 169173 225564 338346 507519 676692 1015038 1522557 2030076 3045114 6090228 353327209 706654418 1059981627 1413308836 2119963254 3179944881 4239926508 6359889762 9539834643 12719779524 19079669286 28619503929 38159338572 57239007858 114478015716