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13440132321144 = 2334711915010923
BaseRepresentation
bin1100001110010100011001…
…0100000000111101111000
31202120212022221010001020220
43003211012110000331320
53230200342333234034
644330151143420040
72555006002532214
oct303450624007570
952525287101226
1013440132321144
114311a23347a51
121610955154620
137665258c8139
1434671219b944
1518491e4a3749
hexc3946500f78

13440132321144 has 32 divisors (see below), whose sum is σ = 34315231461120. Its totient is φ = 4384724019296.

The previous prime is 13440132321127. The next prime is 13440132321179. The reversal of 13440132321144 is 44112323104431.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5957504334 + ... + 5957506589.

It is an arithmetic number, because the mean of its divisors is an integer number (1072350983160).

Almost surely, 213440132321144 is an apocalyptic number.

It is an amenable number.

13440132321144 is an abundant number, since it is smaller than the sum of its proper divisors (20875099139976).

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

13440132321144 is a wasteful number, since it uses less digits than its factorization.

13440132321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11915010979 (or 11915010975 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13440132321144 its reverse (44112323104431), we get a palindrome (57552455425575).

The spelling of 13440132321144 in words is "thirteen trillion, four hundred forty billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 11915010923 23830021846 35745032769 47660043692 71490065538 95320087384 142980131076 285960262152 560005513381 1120011026762 1680016540143 2240022053524 3360033080286 4480044107048 6720066160572 13440132321144