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120424425114141 = 3213797667822477
BaseRepresentation
bin11011011000011001111111…
…000101001100101000011101
3120210101110111020111202121100
4123120121333011030220131
5111241013210312123031
61104042114524023313
734236243342136401
oct3330317705145035
9523343436452540
10120424425114141
1135409791578355
121160b088391b39
135226c89159a75
1421a48050cd101
15ddc7b0514de6
hex6d867f14ca1d

120424425114141 has 12 divisors (see below), whose sum is σ = 175216073525532. Its totient is φ = 79696943140416.

The previous prime is 120424425114107. The next prime is 120424425114151. The reversal of 120424425114141 is 141411524424021.

120424425114141 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 24 + 42 + 511 + 41 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54111839405625 + 66312585708516 = 7356075^2 + 8143254^2 .

It is not a de Polignac number, because 120424425114141 - 229 = 120423888243229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120424425114096 and 120424425114105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120424425114151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48833910006 + ... + 48833912471.

It is an arithmetic number, because the mean of its divisors is an integer number (14601339460461).

Almost surely, 2120424425114141 is an apocalyptic number.

It is an amenable number.

120424425114141 is a deficient number, since it is larger than the sum of its proper divisors (54791648411391).

120424425114141 is a wasteful number, since it uses less digits than its factorization.

120424425114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97667822620 (or 97667822617 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 120424425114141 its reverse (141411524424021), we get a palindrome (261835949538162).

The spelling of 120424425114141 in words is "one hundred twenty trillion, four hundred twenty-four billion, four hundred twenty-five million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 137 411 1233 97667822477 293003467431 879010402293 13380491679349 40141475038047 120424425114141