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2114401095 = 325173178719
BaseRepresentation
bin111111000000111…
…0011001101000111
312110100121201000200
41332001303031013
513312241313340
6545450541543
7103253053452
oct17601631507
95410551020
102114401095
11995584924
124b01378b3
13279090a11
14160b58499
15c595e330
hex7e073347

2114401095 has 48 divisors (see below), whose sum is σ = 3893235840. Its totient is φ = 1057876992.

The previous prime is 2114401067. The next prime is 2114401103. The reversal of 2114401095 is 5901044112.

2114401095 is a `hidden beast` number, since 211 + 440 + 1 + 0 + 9 + 5 = 666.

It is not a de Polignac number, because 2114401095 - 28 = 2114400839 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238146 + ... + 246864.

It is an arithmetic number, because the mean of its divisors is an integer number (81109080).

Almost surely, 22114401095 is an apocalyptic number.

2114401095 is a deficient number, since it is larger than the sum of its proper divisors (1778834745).

2114401095 is a wasteful number, since it uses less digits than its factorization.

2114401095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2114401095 is about 45982.6173135023. The cubic root of 2114401095 is about 1283.4997596424.

The spelling of 2114401095 in words is "two billion, one hundred fourteen million, four hundred one thousand, ninety-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 317 765 951 1585 2853 4755 5389 8719 14265 16167 26157 26945 43595 48501 78471 80835 130785 148223 242505 392355 444669 741115 1334007 2223345 2763923 6670035 8291769 13819615 24875307 41458845 46986691 124376535 140960073 234933455 422880219 704800365 2114401095