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114275983344 = 243431131812707
BaseRepresentation
bin110101001101101100…
…0010001111111110000
3101220222002102102210120
41222123120101333300
53333014122431334
6124255254530240
711153602555125
oct1523330217760
9356862372716
10114275983344
11445118a4746
121a192966980
13aa1235a973
14576105874c
152e8c6d5949
hex1a9b611ff0

114275983344 has 160 divisors (see below), whose sum is σ = 306548546304. Its totient is φ = 36659589120.

The previous prime is 114275983331. The next prime is 114275983351. The reversal of 114275983344 is 443389572411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42213639 + ... + 42216345.

Almost surely, 2114275983344 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 114275983344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153274273152).

114275983344 is an abundant number, since it is smaller than the sum of its proper divisors (192272562960).

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

114275983344 is a wasteful number, since it uses less digits than its factorization.

114275983344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 114275983344 in words is "one hundred fourteen billion, two hundred seventy-five million, nine hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 113 129 172 181 226 258 339 344 362 452 516 543 678 688 724 904 1032 1086 1356 1448 1808 2064 2172 2707 2712 2896 4344 4859 5414 5424 7783 8121 8688 9718 10828 14577 15566 16242 19436 20453 21656 23349 29154 31132 32484 38872 40906 43312 46698 58308 61359 62264 64968 77744 81812 93396 116401 116616 122718 124528 129936 163624 186792 232802 233232 245436 305891 327248 349203 373584 465604 489967 490872 611782 698406 879479 917673 931208 979934 981744 1223564 1396812 1469901 1758958 1835346 1862416 1959868 2447128 2638437 2793624 2939802 3517916 3670692 3919736 4894256 5276874 5587248 5879604 7035832 7341384 7839472 10553748 11759208 13153313 14071664 14682768 21068581 21107496 23518416 26306626 39459939 42137162 42214992 52613252 55366271 63205743 78919878 84274324 105226504 110732542 126411486 157839756 166098813 168548648 210453008 221465084 252822972 315679512 332197626 337097296 442930168 505645944 631359024 664395252 885860336 1011291888 1328790504 2380749653 2657581008 4761499306 7142248959 9522998612 14284497918 19045997224 28568995836 38091994448 57137991672 114275983344