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114082454208 = 2633153361643
BaseRepresentation
bin110101000111111011…
…0000001101011000000
3101220110121021010201210
41222033312001223000
53332120102013313
6124224142530120
711146032601212
oct1521766015300
9356417233653
10114082454208
1144422631408
121a139b96940
13a9b122aa98
14574347c5b2
152e7a7089c3
hex1a8fd81ac0

114082454208 has 112 divisors (see below), whose sum is σ = 317459782656. Its totient is φ = 36106337280.

The previous prime is 114082454197. The next prime is 114082454209. The reversal of 114082454208 is 802454280411.

It is not an unprimeable number, because it can be changed into a prime (114082454209) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 134635 + ... + 496277.

Almost surely, 2114082454208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114082454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158729891328).

114082454208 is an abundant number, since it is smaller than the sum of its proper divisors (203377328448).

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

114082454208 is a wasteful number, since it uses less digits than its factorization.

114082454208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361742 (or 361732 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 114082454208 in words is "one hundred fourteen billion, eighty-two million, four hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 159 186 192 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 4929 5088 5952 6572 9858 10176 13144 19716 26288 39432 52576 78864 105152 157728 315456 361643 723286 1084929 1446572 2169858 2893144 4339716 5786288 8679432 11210933 11572576 17358864 19167079 22421866 23145152 33632799 34717728 38334158 44843732 57501237 67265598 69435456 76668316 89687464 115002474 134531196 153336632 179374928 230004948 269062392 306673264 358749856 460009896 538124784 594179449 613346528 717499712 920019792 1076249568 1188358898 1226693056 1782538347 1840039584 2152499136 2376717796 3565076694 3680079168 4753435592 7130153388 9506871184 14260306776 19013742368 28520613552 38027484736 57041227104 114082454208