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114840094896 = 24331991335847
BaseRepresentation
bin110101011110100000…
…0001100100010110000
3101222102101220021101000
41222331000030202300
53340143031014041
6124431245442000
711203562462202
oct1527500144260
9358371807330
10114840094896
114478127003a
121a30b870300
13aaa219c297
1457b5d3c772
152ec1eb4bb6
hex1abd00c8b0

114840094896 has 80 divisors (see below), whose sum is σ = 331290304000. Its totient is φ = 38087641152.

The previous prime is 114840094867. The next prime is 114840094931. The reversal of 114840094896 is 698490048411.

It is a happy number.

114840094896 is a `hidden beast` number, since 1 + 148 + 400 + 9 + 4 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581956 + ... + 753891.

It is an arithmetic number, because the mean of its divisors is an integer number (4141128800).

Almost surely, 2114840094896 is an apocalyptic number.

114840094896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114840094896 is an abundant number, since it is smaller than the sum of its proper divisors (216450209104).

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

114840094896 is a wasteful number, since it uses less digits than its factorization.

114840094896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336063 (or 1336051 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 114840094896 in words is "one hundred fourteen billion, eight hundred forty million, ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 199 216 398 432 597 796 1194 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 21492 28656 42984 85968 1335847 2671694 4007541 5343388 8015082 10686776 12022623 16030164 21373552 24045246 32060328 36067869 48090492 64120656 72135738 96180984 144271476 192361968 265833553 288542952 531667106 577085904 797500659 1063334212 1595001318 2126668424 2392501977 3190002636 4253336848 4785003954 6380005272 7177505931 9570007908 12760010544 14355011862 19140015816 28710023724 38280031632 57420047448 114840094896