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120303444432114 = 23288117214408073
BaseRepresentation
bin11011010110101001010100…
…000100100001010011110010
3120202221220012220000100021100
4123112221110010201103302
5111232022423233311424
61103510350040105230
734224431334251616
oct3326512404412362
9522856186010240
10120303444432114
113537244a094319
12115ab744165216
135218748a3a398
14219ca09827346
15dd957e3e6dc9
hex6d6a541214f2

120303444432114 has 48 divisors (see below), whose sum is σ = 261105016516344. Its totient is φ = 40032346675200.

The previous prime is 120303444432109. The next prime is 120303444432179. The reversal of 120303444432114 is 411234444303021.

120303444432114 is a `hidden beast` number, since 1 + 20 + 303 + 4 + 4 + 4 + 4 + 321 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77471982501489 + 42831461930625 = 8801817^2 + 6544575^2 .

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, 25087582 + ... + 29495654.

Almost surely, 2120303444432114 is an apocalyptic number.

120303444432114 is an abundant number, since it is smaller than the sum of its proper divisors (140801572084230).

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

120303444432114 is a wasteful number, since it uses less digits than its factorization.

120303444432114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4410683 (or 4410680 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 120303444432114 its reverse (411234444303021), we get a palindrome (531537888735135).

The spelling of 120303444432114 in words is "one hundred twenty trillion, three hundred three billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 881 1721 1762 2643 3442 5163 5286 7929 10326 15489 15858 30978 1516201 3032402 4408073 4548603 8816146 9097206 13224219 13645809 26448438 27291618 39672657 79345314 3883512313 7586293633 7767024626 11650536939 15172587266 22758880899 23301073878 34951610817 45517761798 68276642697 69903221634 136553285394 6683524690673 13367049381346 20050574072019 40101148144038 60151722216057 120303444432114