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840025407841 = 532172932
BaseRepresentation
bin11000011100101010110…
…10101000000101100001
32222022020211000010111021
430032111122220011201
5102230333001022331
61441522523445441
7114455420104114
oct14162532500541
92868224003437
10840025407841
112a4286497054
12116976986881
13612a2386959
142c92c06857b
1516cb7147211
hexc3956a8161

840025407841 has 9 divisors (see below), whose sum is σ = 856223504409. Its totient is φ = 824128212336.

The previous prime is 840025407839. The next prime is 840025407853. The reversal of 840025407841 is 148704520048.

The square root of 840025407841 is 916529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 99806078241 + 740219329600 = 315921^2 + 860360^2 .

It is not a de Polignac number, because 840025407841 - 21 = 840025407839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (840025407941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48567391 + ... + 48584683.

Almost surely, 2840025407841 is an apocalyptic number.

840025407841 is the 916529-th square number.

840025407841 is the 458265-th centered octagonal number.

It is an amenable number.

840025407841 is a deficient number, since it is larger than the sum of its proper divisors (16198096568).

840025407841 is an frugal number, since it uses more digits than its factorization.

840025407841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34692 (or 17346 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 43.

Adding to 840025407841 its reverse (148704520048), we get a palindrome (988729927889).

The spelling of 840025407841 in words is "eight hundred forty billion, twenty-five million, four hundred seven thousand, eight hundred forty-one".

Divisors: 1 53 2809 17293 916529 48576037 299047849 15849535997 840025407841