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21040314141 = 37112331127747
BaseRepresentation
bin10011100110000110…
…011011011100011101
32000022100001200222010
4103212012123130131
5321042310023031
613355450541433
71343253501510
oct234606333435
960270050863
1021040314141
118a17788480
1240b2437879
131ca408b632
141038528d77
15832262246
hex4e619b71d

21040314141 has 64 divisors (see below), whose sum is σ = 37674418176. Its totient is φ = 10117483200.

The previous prime is 21040314131. The next prime is 21040314157. The reversal of 21040314141 is 14141304012.

It is not a de Polignac number, because 21040314141 - 26 = 21040314077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21040314131) 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 63 ways as a sum of consecutive naturals, for example, 100830 + ... + 228576.

It is an arithmetic number, because the mean of its divisors is an integer number (588662784).

Almost surely, 221040314141 is an apocalyptic number.

21040314141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21040314141 is a deficient number, since it is larger than the sum of its proper divisors (16634104035).

21040314141 is a wasteful number, since it uses less digits than its factorization.

21040314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127822.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21040314141 its reverse (14141304012), we get a palindrome (35181618153).

The spelling of 21040314141 in words is "twenty-one billion, forty million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 11 21 23 31 33 69 77 93 161 217 231 253 341 483 651 713 759 1023 1771 2139 2387 4991 5313 7161 7843 14973 23529 54901 127747 164703 383241 894229 1405217 2682687 2938181 3960157 4215651 8814543 9836519 11880471 20567267 27721099 29509557 32319991 43561727 61701801 83163297 91083611 96959973 130685181 226239937 273250833 304932089 637585277 678719811 914796267 1001919721 1912755831 3005759163 7013438047 21040314141