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114112221440 = 285712735739
BaseRepresentation
bin110101001000110011…
…1100101000100000000
3101220112200021110200212
41222101213211010000
53332200212041230
6124231124533252
711146543610150
oct1522147450400
9356480243625
10114112221440
1144438412a28
121a147b51228
13a9b7450b29
1457473ca760
152e7d138895
hex1a919e5100

114112221440 has 72 divisors (see below), whose sum is σ = 312382230720. Its totient is φ = 39124187136.

The previous prime is 114112221439. The next prime is 114112221449. The reversal of 114112221440 is 44122211411.

114112221440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114112221449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6358910 + ... + 6376829.

Almost surely, 2114112221440 is an apocalyptic number.

114112221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114112221440 is an abundant number, since it is smaller than the sum of its proper divisors (198270009280).

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

114112221440 is an equidigital number, since it uses as much as digits as its factorization.

114112221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735767 (or 12735753 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 114112221440 its reverse (44122211411), we get a palindrome (158234432851).

The spelling of 114112221440 in words is "one hundred fourteen billion, one hundred twelve million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 12735739 25471478 50942956 63678695 89150173 101885912 127357390 178300346 203771824 254714780 356600692 407543648 445750865 509429560 713201384 815087296 891501730 1018859120 1426402768 1630174592 1783003460 2037718240 2852805536 3260349184 3566006920 4075436480 5705611072 7132013840 8150872960 11411222144 14264027680 16301745920 22822444288 28528055360 57056110720 114112221440