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120424431412441 = 13293041105040513
BaseRepresentation
bin11011011000011001111111…
…011101001110010011011001
3120210101110111200100202020201
4123120121333131032103121
5111241013213420144231
61104042115311022201
734236243446520652
oct3330317735162331
9523343450322221
10120424431412441
113540979508a362
121160b08a50a961
135226c8a553780
1421a4805c8c529
15ddc7b0d5b161
hex6d867f74e4d9

120424431412441 has 16 divisors (see below), whose sum is σ = 134203962306960. Its totient is φ = 107292580577280.

The previous prime is 120424431412429. The next prime is 120424431412447. The reversal of 120424431412441 is 144214134424021.

It can be written as a sum of positive squares in 8 ways, for example, as 11668816881225 + 108755614531216 = 3415965^2 + 10428596^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120424431412441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120424431412441.

It is not an unprimeable number, because it can be changed into a prime (120424431412447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51373800 + ... + 53666713.

It is an arithmetic number, because the mean of its divisors is an integer number (8387747644185).

Almost surely, 2120424431412441 is an apocalyptic number.

It is an amenable number.

120424431412441 is a deficient number, since it is larger than the sum of its proper divisors (13779530894519).

120424431412441 is a wasteful number, since it uses less digits than its factorization.

120424431412441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105043596.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 120424431412441 its reverse (144214134424021), we get a palindrome (264638565836462).

The spelling of 120424431412441 in words is "one hundred twenty trillion, four hundred twenty-four billion, four hundred thirty-one million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 29 377 3041 39533 88189 1146457 105040513 1365526669 3046174877 39600273401 319428200033 4152566600429 9263417800957 120424431412441