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424021340413121 = 111313078571118419
BaseRepresentation
bin110000001101001010010100…
…1010111110101110011000001
32001121100001012021011122002212
41200122110221113311303001
5421034131201121204441
64101452414210151505
7155212350045333263
oct14032245127656301
92047301167148085
10424021340413121
111131194934a4560
123b682214b82595
131527a06b91c6a9
14769ca5712bb33
153404b7c70eeeb
hex181a5295f5cc1

424021340413121 has 32 divisors (see below), whose sum is σ = 468164098321920. Its totient is φ = 380840118422400.

The previous prime is 424021340413103. The next prime is 424021340413147. The reversal of 424021340413121 is 121314043120424.

It is a cyclic number.

It is not a de Polignac number, because 424021340413121 - 26 = 424021340413057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (424021340413421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378566450 + ... + 379684868.

It is an arithmetic number, because the mean of its divisors is an integer number (14630128072560).

Almost surely, 2424021340413121 is an apocalyptic number.

It is an amenable number.

424021340413121 is a deficient number, since it is larger than the sum of its proper divisors (44142757908799).

424021340413121 is a wasteful number, since it uses less digits than its factorization.

424021340413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119725.

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 424021340413121 its reverse (121314043120424), we get a palindrome (545335383533545).

The spelling of 424021340413121 in words is "four hundred twenty-four trillion, twenty-one billion, three hundred forty million, four hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 11 131 307 857 1441 3377 9427 40217 112267 263099 442387 1118419 1234937 2894089 12302609 34465969 146512889 343354633 379125659 958485083 1611641779 3776900963 10543335913 44979456923 125561545873 294254920481 494774026153 1381177004603 3236804125291 38547394583011 424021340413121