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5314444135 = 571113361103
BaseRepresentation
bin1001111001100001…
…11111101101100111
3111201101001201211021
410330300333231213
541340444203020
62235202552011
7245461013140
oct47460775547
914641051737
105314444135
1122879575a0
121043968607
13669046000
14385b54ac7
1521186a1aa
hex13cc3fb67

5314444135 has 128 divisors (see below), whose sum is σ = 8839434240. Its totient is φ = 2978726400.

The previous prime is 5314444123. The next prime is 5314444139.

5314444135 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5314444135 - 215 = 5314411367 is a prime.

Its product of digits (57600) is a multiple of the sum of its prime divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 5314444135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5314444139) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51596494 + ... + 51596596.

It is an arithmetic number, because the mean of its divisors is an integer number (69058080).

Almost surely, 25314444135 is an apocalyptic number.

5314444135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5314444135 is a deficient number, since it is larger than the sum of its proper divisors (3524990105).

5314444135 is a wasteful number, since it uses less digits than its factorization.

5314444135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 5314444135 is about 72900.2341217091. The cubic root of 5314444135 is about 1745.0958352196.

It can be divided in two parts, 53144 and 44135, that added together give a palindrome (97279).

The spelling of 5314444135 in words is "five billion, three hundred fourteen million, four hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 5 7 11 13 35 55 61 65 77 91 103 143 169 305 385 427 455 515 671 715 721 793 845 1001 1133 1183 1339 1859 2135 2197 3355 3605 3965 4697 5005 5551 5665 5915 6283 6695 7931 8723 9295 9373 10309 10985 13013 14729 15379 17407 23485 24167 27755 31415 39655 43615 43981 46865 51545 61061 65065 69113 72163 73645 76895 81679 87035 103103 113399 120835 121849 134017 169169 191477 219905 226291 305305 345565 360815 408395 483791 515515 566995 571753 609245 670085 793793 845845 898469 938119 957385 1061827 1131455 1340339 1474187 1584037 2418955 2489201 2858765 3968965 4492345 4690595 5309135 6289283 6701695 7370935 7432789 7920185 10319309 11680097 12446005 13803751 17424407 31446415 37163945 51596545 58400485 69018755 81760679 87122035 96626257 151841261 408803395 483131285 759206305 1062888827 5314444135