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116014402336 = 2572175697649
BaseRepresentation
bin110110000001011111…
…1110100101100100000
3102002110020120021100011
41230002333310230200
53400044141333321
6125143555134304
711244642102100
oct1540277645440
9362406507304
10116014402336
1145224118658
121a598ba4394
13ac2b569261
145887ca1200
153040127ae1
hex1b02ff4b20

116014402336 has 144 divisors (see below), whose sum is σ = 281853999000. Its totient is φ = 46707376128.

The previous prime is 116014402331. The next prime is 116014402391. The reversal of 116014402336 is 633204410611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66026385936 + 49988016400 = 256956^2 + 223580^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116014402298 and 116014402307.

It is not an unprimeable number, because it can be changed into a prime (116014402331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15163440 + ... + 15171088.

Almost surely, 2116014402336 is an apocalyptic number.

116014402336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116014402336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140926999500).

116014402336 is an abundant number, since it is smaller than the sum of its proper divisors (165839596664).

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

116014402336 is a wasteful number, since it uses less digits than its factorization.

116014402336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 116014402336 its reverse (633204410611), we get a palindrome (749218812947).

The spelling of 116014402336 in words is "one hundred sixteen billion, fourteen million, four hundred two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 569 784 833 952 1138 1568 1666 1904 2276 3332 3808 3983 4552 6664 7649 7966 9104 9673 13328 15298 15932 18208 19346 26656 27881 30596 31864 38692 53543 55762 61192 63728 67711 77384 107086 111524 122384 127456 130033 135422 154768 214172 223048 244768 260066 270844 309536 374801 428344 446096 473977 520132 541688 749602 856688 892192 910231 947954 1040264 1083376 1499204 1713376 1820462 1895908 2080528 2166752 2998408 3640924 3791816 4161056 4352281 5996816 6371617 7281848 7583632 8704562 11993632 12743234 14563696 15167264 17409124 25486468 29127392 30465967 34818248 50972936 60931934 69636496 73988777 101945872 121863868 139272992 147977554 203891744 213261769 243727736 295955108 426523538 487455472 517921439 591910216 853047076 974910944 1035842878 1183820432 1706094152 2071685756 2367640864 3412188304 3625450073 4143371512 6824376608 7250900146 8286743024 14501800292 16573486048 29003600584 58007201168 116014402336