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134442244431 = 321159101281811
BaseRepresentation
bin111110100110101100…
…0011101100101001111
3110212000111210122101100
41331031120131211033
54200314203310211
6141432323514143
712466414136205
oct1751530354517
9425014718340
10134442244431
1152020162120
1222080528953
13c8a7308b31
14671545d075
15376cd44156
hex1f4d61d94f

134442244431 has 96 divisors (see below), whose sum is σ = 218615604480. Its totient is φ = 78926400000.

The previous prime is 134442244403. The next prime is 134442244439.

134442244431 is a `hidden beast` number, since 1 + 344 + 42 + 244 + 4 + 31 = 666.

134442244431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134442244431 - 225 = 134408689999 is a prime.

It is a super-2 number, since 2×1344422444312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134442244439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165773016 + ... + 165773826.

It is an arithmetic number, because the mean of its divisors is an integer number (2277245880).

Almost surely, 2134442244431 is an apocalyptic number.

134442244431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134442244431 is a deficient number, since it is larger than the sum of its proper divisors (84173360049).

134442244431 is a wasteful number, since it uses less digits than its factorization.

134442244431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1266 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 134442 and 244431, that added together give a palindrome (378873).

The spelling of 134442244431 in words is "one hundred thirty-four billion, four hundred forty-two million, two hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 59 99 101 177 281 303 531 649 811 843 909 1111 1947 2433 2529 3091 3333 5841 5959 7299 8921 9273 9999 16579 17877 26763 27819 28381 47849 49737 53631 65549 80289 81911 85143 143547 149211 182369 196647 227891 245733 255429 312191 430641 526339 547107 589941 683673 737199 901021 936573 1579017 1641321 1674479 2051019 2506801 2703063 2809719 4737051 4832749 5023437 7520403 8109189 13445569 14498247 15070311 18419269 22561209 23016991 40336707 43494741 53160239 55257807 69050973 121010121 147901259 159480717 165773421 207152919 253186901 443703777 478442151 759560703 1331111331 1358002469 2278682109 4074007407 12222022221 14938027159 44814081477 134442244431