Search a number
-
+
14077277631 = 3419371731429
BaseRepresentation
bin11010001110001001…
…00011010110111111
31100100001212210120000
431013010203112333
5212312240341011
610244512525343
71005563612514
oct150704432677
940301783500
1014077277631
115a7429004a
12288a550853
1314346280a1
1497787130b
15575cea356
hex3471235bf

14077277631 has 80 divisors (see below), whose sum is σ = 22881487200. Its totient is φ = 8594595072.

The previous prime is 14077277609. The next prime is 14077277633. The reversal of 14077277631 is 13677277041.

It is a happy number.

14077277631 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 7 + 2 + 7 + 7 + 631 = 666.

It is not a de Polignac number, because 14077277631 - 27 = 14077277503 is a prime.

It is a super-2 number, since 2×140772776312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14077277633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9850425 + ... + 9851853.

It is an arithmetic number, because the mean of its divisors is an integer number (286018590).

Almost surely, 214077277631 is an apocalyptic number.

14077277631 is a deficient number, since it is larger than the sum of its proper divisors (8804209569).

14077277631 is a wasteful number, since it uses less digits than its factorization.

14077277631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 14077277631 in words is "fourteen billion, seventy-seven million, two hundred seventy-seven thousand, six hundred thirty-one".

Divisors: 1 3 9 19 27 37 57 81 111 171 173 333 513 519 703 999 1429 1539 1557 2109 2997 3287 4287 4671 6327 6401 9861 12861 14013 18981 19203 27151 29583 38583 52873 56943 57609 81453 88749 115749 121619 158619 172827 244359 247217 266247 364857 475857 518481 733077 741651 1004587 1094571 1427571 2199231 2224953 3013761 3283713 4282713 4697123 6674859 9041283 9147029 9851139 14091369 20024577 27123849 27441087 42274107 81371547 82323261 126822321 173793551 246969783 380466963 521380653 740909349 1564141959 4692425877 14077277631