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421240315311441 = 3331691728327023
BaseRepresentation
bin101111111000111011010011…
…1010110111111010101010001
32001020111011212211210202021000
41133301312213112333111101
5420203100131204431231
64051523043534452213
7154504415463111363
oct13761664726772521
92036434784722230
10421240315311441
1111224701830aa2a
123b2b3241364069
1315107a395cab52
1476041d63d8d33
1533a76621bc6e6
hex17f1da75bf551

421240315311441 has 32 divisors (see below), whose sum is σ = 645122944778240. Its totient is φ = 271374648397200.

The previous prime is 421240315311437. The next prime is 421240315311457. The reversal of 421240315311441 is 144113513042124.

421240315311441 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 40 + 31 + 531 + 14 + 41 = 666.

It is not a de Polignac number, because 421240315311441 - 22 = 421240315311437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 421240315311396 and 421240315311405.

It is not an unprimeable number, because it can be changed into a prime (421240310311441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363585145 + ... + 364741878.

It is an arithmetic number, because the mean of its divisors is an integer number (20160092024320).

Almost surely, 2421240315311441 is an apocalyptic number.

It is an amenable number.

421240315311441 is a deficient number, since it is larger than the sum of its proper divisors (223882629466799).

421240315311441 is a wasteful number, since it uses less digits than its factorization.

421240315311441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728327754 (or 728327748 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 421240315311441 its reverse (144113513042124), we get a palindrome (565353828353565).

The spelling of 421240315311441 in words is "four hundred twenty-one trillion, two hundred forty billion, three hundred fifteen million, three hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 27 31 93 279 691 837 2073 6219 18657 21421 64263 192789 578367 728327023 2184981069 6554943207 19664829621 22578137713 67734413139 203203239417 503273972893 609609718251 1509821918679 4529465756037 13588397268111 15601493159683 46804479479049 140413438437147 421240315311441