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114488414271 = 327111459113233
BaseRepresentation
bin110101010100000001…
…0101001000000111111
3101221111220011001020200
41222220002221000333
53333433013224041
6124332324014543
711162062315230
oct1525002510077
9357456131220
10114488414271
11446107a81a0
121a231b31453
13aa4737813a
145781355087
152ea11981b6
hex1aa80a903f

114488414271 has 48 divisors (see below), whose sum is σ = 206321406720. Its totient is φ = 59433212160.

The previous prime is 114488414221. The next prime is 114488414273. The reversal of 114488414271 is 172414884411.

114488414271 is a `hidden beast` number, since 1 + 144 + 8 + 84 + 1 + 427 + 1 = 666.

It is not a de Polignac number, because 114488414271 - 217 = 114488283199 is a prime.

It is a super-2 number, since 2×1144884142712 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114488414273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954471 + ... + 1067703.

It is an arithmetic number, because the mean of its divisors is an integer number (4298362640).

Almost surely, 2114488414271 is an apocalyptic number.

114488414271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114488414271 is a deficient number, since it is larger than the sum of its proper divisors (91832992449).

114488414271 is a wasteful number, since it uses less digits than its factorization.

114488414271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114716 (or 114713 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The spelling of 114488414271 in words is "one hundred fourteen billion, four hundred eighty-eight million, four hundred fourteen thousand, two hundred seventy-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1459 4377 10213 13131 16049 30639 48147 91917 112343 113233 144441 337029 339699 792631 1011087 1019097 1245563 2377893 3736689 7133679 8718941 11210067 26156823 78470469 165206947 495620841 1156448629 1486862523 1817276417 3469345887 5451829251 10408037661 12720934919 16355487753 38162804757 114488414271