Search a number
-
+
311440033014 = 231117535237279
BaseRepresentation
bin1001000100000110100…
…01011100010011110110
31002202212210100220210120
410202003101130103312
520100312122024024
6355023520432410
731333526413305
oct4420321342366
91082783326716
10311440033014
11110098863440
1250438778706
13234a3c73406
141110663843c
15817bbbd479
hex488345c4f6

311440033014 has 64 divisors (see below), whose sum is σ = 733051607040. Its totient is φ = 87148305920.

The previous prime is 311440032989. The next prime is 311440033027. The reversal of 311440033014 is 410330044113.

It is a super-2 number, since 2×3114400330142 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2559174 + ... + 2678105.

It is an arithmetic number, because the mean of its divisors is an integer number (11453931360).

Almost surely, 2311440033014 is an apocalyptic number.

311440033014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311440033014 is an abundant number, since it is smaller than the sum of its proper divisors (421611574026).

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

311440033014 is a wasteful number, since it uses less digits than its factorization.

311440033014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237365.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311440033014 its reverse (410330044113), we get a palindrome (721770077127).

The spelling of 311440033014 in words is "three hundred eleven billion, four hundred forty million, thirty-three thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1166 1749 1802 2703 3498 5406 9911 19822 29733 59466 5237279 10474558 15711837 31423674 57610069 89033743 115220138 172830207 178067486 267101229 277575787 345660414 534202458 555151574 832727361 979371173 1665454722 1958742346 2938113519 3053333657 4718788379 5876227038 6106667314 9160000971 9437576758 14156365137 18320001942 28312730274 51906672169 103813344338 155720016507 311440033014