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140012224014024 = 233229695521118633
BaseRepresentation
bin11111110101011100100010…
…111000000110011011001000
3200100202001000121212210102100
4133311130202320012123020
5121322430013321422044
61213440421110033400
741330356301504655
oct3765344270063310
9610661017783370
10140012224014024
114068093a38797a
1213853382648860
1360181330b99ab
1426808b097cc2c
15112c08c75b869
hex7f5722e066c8

140012224014024 has 96 divisors (see below), whose sum is σ = 379399397434200. Its totient is φ = 46646178324480.

The previous prime is 140012224013983. The next prime is 140012224014073. The reversal of 140012224014024 is 420410422210041.

140012224014024 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 12 + 2 + 240 + 1 + 402 + 4 = 666.

140012224014024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 78413114793924 + 61599109220100 = 8855118^2 + 7848510^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180153812 + ... + 1180272444.

Almost surely, 2140012224014024 is an apocalyptic number.

It is an amenable number.

140012224014024 is an abundant number, since it is smaller than the sum of its proper divisors (239387173420176).

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

140012224014024 is a wasteful number, since it uses less digits than its factorization.

140012224014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127135 (or 127128 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 140012224014024 its reverse (420410422210041), we get a palindrome (560422646224065).

The spelling of 140012224014024 in words is "one hundred forty trillion, twelve billion, two hundred twenty-four million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2969 5521 5938 8907 11042 11876 16563 17814 22084 23752 26721 33126 35628 44168 49689 53442 66252 71256 99378 106884 118633 132504 198756 213768 237266 355899 397512 474532 711798 949064 1067697 1423596 2135394 2847192 4270788 8541576 16391849 32783698 49175547 65567396 98351094 131134792 147526641 196702188 295053282 352221377 393404376 590106564 654972793 704442754 1056664131 1180213128 1309945586 1408885508 1964918379 2113328262 2619891172 2817771016 3169992393 3929836758 4226656524 5239782344 5894755137 6339984786 7859673516 8453313048 11789510274 12679969572 15719347032 23579020548 25359939144 47158041096 1944614222417 3889228444834 5833842667251 7778456889668 11667685334502 15556913779336 17501528001753 23335370669004 35003056003506 46670741338008 70006112007012 140012224014024