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20014043841 = 3411214292
BaseRepresentation
bin10010101000111011…
…100001001011000001
31220122210221202210000
4102220323201023001
5311442043400331
613105550230213
71305652365021
oct225073411301
956583852700
1020014043841
118540451400
123a667b5369
131b6c583cbc
14d7c0dda81
157c20e20e6
hex4a8ee12c1

20014043841 has 45 divisors (see below), whose sum is σ = 32885578803. Its totient is φ = 12121235280.

The previous prime is 20014043821. The next prime is 20014043843. The reversal of 20014043841 is 14834041002.

The square root of 20014043841 is 141471.

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

It can be written as a sum of positive squares in only one way, i.e., 1349019441 + 18665024400 = 36729^2 + 136620^2 .

It is not a de Polignac number, because 20014043841 - 217 = 20013912769 is a prime.

It is a super-3 number, since 3×200140438413 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20014043843) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14004915 + ... + 14006343.

Almost surely, 220014043841 is an apocalyptic number.

20014043841 is the 141471-st square number.

20014043841 is the 70736-th centered octagonal number.

It is an amenable number.

20014043841 is a deficient number, since it is larger than the sum of its proper divisors (12871534962).

20014043841 is an frugal number, since it uses more digits than its factorization.

20014043841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20014043841 its reverse (14834041002), we get a palindrome (34848084843).

It can be divided in two parts, 200 and 14043841, that added together give a palindrome (14044041).

The spelling of 20014043841 in words is "twenty billion, fourteen million, forty-three thousand, eight hundred forty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1429 3267 4287 9801 12861 15719 38583 47157 115749 141471 172909 424413 518727 1273239 1556181 2042041 4668543 6126123 14005629 18378369 22462451 55135107 67387353 165405321 202162059 247086961 606486177 741260883 1819458531 2223782649 6671347947 20014043841