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420020002014 = 231723300159659
BaseRepresentation
bin1100001110010110010…
…01001001110011011110
31111011010220201211211220
412013023021021303132
523340200110031024
6520542102154210
742226326052554
oct6071311116336
91434126654756
10420020002014
11152147383208
126949ba22966
13307b91ca292
1416486db3bd4
15add42b5e79
hex61cb249cde

420020002014 has 64 divisors (see below), whose sum is σ = 928450874880. Its totient is φ = 125997696000.

The previous prime is 420020001971. The next prime is 420020002019. The reversal of 420020002014 is 410200020024.

420020002014 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 420020001984 and 420020002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420020002019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7010517 + ... + 7070175.

It is an arithmetic number, because the mean of its divisors is an integer number (14507044920).

Almost surely, 2420020002014 is an apocalyptic number.

420020002014 is an abundant number, since it is smaller than the sum of its proper divisors (508430872866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420020002014 is a wasteful number, since it uses less digits than its factorization.

420020002014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62705.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 420020002014 its reverse (410200020024), we get a palindrome (830220022038).

The spelling of 420020002014 in words is "four hundred twenty billion, twenty million, two thousand, fourteen".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 782 1173 2346 3001 6002 9003 18006 51017 59659 69023 102034 119318 138046 153051 178977 207069 306102 357954 414138 1014203 1173391 1372157 2028406 2346782 2744314 3042609 3520173 4116471 6085218 7040346 8232942 23326669 46653338 69980007 139960014 179036659 358073318 537109977 1074219954 3043623203 4117843157 6087246406 8235686314 9130869609 12353529471 18261739218 24707058942 70003333669 140006667338 210010001007 420020002014