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420050000401 = 1724135450249
BaseRepresentation
bin1100001110011001110…
…11100101101000010001
31111011020000011220220021
412013030323211220101
523340230300003101
6520545053143441
742230142043453
oct6071473455021
91434200156807
10420050000401
11152162302469
12694a9a8ab81
13307c24a15c5
141648ad822d3
15add6c3e5a1
hex61ccee5a11

420050000401 has 12 divisors (see below), whose sum is σ = 457095523500. Its totient is φ = 385698698240.

The previous prime is 420050000399. The next prime is 420050000407. The reversal of 420050000401 is 104000050024.

It can be written as a sum of positive squares in 6 ways, for example, as 8944619776 + 411105380625 = 94576^2 + 641175^2 .

It is not a de Polignac number, because 420050000401 - 21 = 420050000399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420050000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17713276 + ... + 17736973.

It is an arithmetic number, because the mean of its divisors is an integer number (38091293625).

Almost surely, 2420050000401 is an apocalyptic number.

420050000401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

420050000401 is a deficient number, since it is larger than the sum of its proper divisors (37045523099).

420050000401 is a wasteful number, since it uses less digits than its factorization.

420050000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35450324 (or 35450307 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 420050000401 its reverse (104000050024), we get a palindrome (524050050425).

The spelling of 420050000401 in words is "four hundred twenty billion, fifty million, four hundred one", and thus it is an aban number.

Divisors: 1 17 41 289 697 11849 35450249 602654233 1453460209 10245121961 24708823553 420050000401