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20404440340231 = 4161149402713597
BaseRepresentation
bin1001010001110110001110…
…11010110001011100000111
32200020122102112022112100011
410220323013122301130013
510133301243211341411
6111221400454131051
74204113024134143
oct450730732613407
980218375275304
1020404440340231
1165575246a1802
122356625950a87
13b5019083a71c
1450781a03a223
15255b764d5c21
hex128ec76b1707

20404440340231 has 32 divisors (see below), whose sum is σ = 21394233806400. Its totient is φ = 19442758579200.

The previous prime is 20404440340187. The next prime is 20404440340289. The reversal of 20404440340231 is 13204304440402.

It is not a de Polignac number, because 20404440340231 - 215 = 20404440307463 is a prime.

It is a super-2 number, since 2×204044403402312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20404440340193 and 20404440340202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404440340631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1500650725 + ... + 1500664321.

It is an arithmetic number, because the mean of its divisors is an integer number (668569806450).

Almost surely, 220404440340231 is an apocalyptic number.

20404440340231 is a deficient number, since it is larger than the sum of its proper divisors (989793466169).

20404440340231 is a wasteful number, since it uses less digits than its factorization.

20404440340231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17875.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 20404440340231 its reverse (13204304440402), we get a palindrome (33608744780633).

The spelling of 20404440340231 in words is "twenty trillion, four hundred four billion, four hundred forty million, three hundred forty thousand, two hundred thirty-one".

Divisors: 1 41 61 149 2501 4027 6109 9089 13597 165107 245647 372649 557477 600023 829417 2025953 10071527 24600943 34006097 36601403 54755119 83064073 123583133 1500657523 2244959879 3340062259 5066908453 8158512731 136942552619 334499021971 497669276591 20404440340231