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4137447314 = 27111311318289
BaseRepresentation
bin1111011010011100…
…0110111110010010
3101200100100002201102
43312213012332102
531433141303224
61522315504402
7204346502420
oct36647067622
911610302642
104137447314
111833532450
12975758102
1350c246ba0
142b36d2110
151933754ae
hexf69c6f92

4137447314 has 64 divisors (see below), whose sum is σ = 8406961920. Its totient is φ = 1474744320.

The previous prime is 4137447287. The next prime is 4137447319.

4137447314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41374473142 = 34236940552251629192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4137447319) 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 31 ways as a sum of consecutive naturals, for example, 217082 + ... + 235370.

It is an arithmetic number, because the mean of its divisors is an integer number (131358780).

Almost surely, 24137447314 is an apocalyptic number.

4137447314 is an abundant number, since it is smaller than the sum of its proper divisors (4269514606).

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

4137447314 is a wasteful number, since it uses less digits than its factorization.

4137447314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18435.

The product of its digits is 112896, while the sum is 38.

The square root of 4137447314 is about 64322.9921101312. The cubic root of 4137447314 is about 1605.3786840147.

It can be divided in two parts, 41374 and 47314, that added together give a palindrome (88688).

The spelling of 4137447314 in words is "four billion, one hundred thirty-seven million, four hundred forty-seven thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 113 143 154 182 226 286 791 1001 1243 1469 1582 2002 2486 2938 8701 10283 16159 17402 18289 20566 32318 36578 113113 128023 201179 226226 237757 256046 402358 475514 1408253 1664299 2066657 2615327 2816506 3328598 4133314 5230654 14466599 18307289 22733227 26866541 28933198 36614578 45466454 53733082 159132589 188065787 295531951 318265178 376131574 591063902 2068723657 4137447314