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40420404201231 = 3313923197464291
BaseRepresentation
bin10010011000011000110111…
…10101011000011100001111
312022010011010110121012102000
421030030123311120130033
520244221441433414411
6221544513301203343
711341164203561625
oct1114143365303417
9168104113535360
1040420404201231
111197421946089a
1246498b3700553
131972821263352
149da5024dd515
154a1662ac4956
hex24c31bd5870f

40420404201231 has 32 divisors (see below), whose sum is σ = 60315616569600. Its totient is φ = 26751862366560.

The previous prime is 40420404201217. The next prime is 40420404201271. The reversal of 40420404201231 is 13210240402404.

40420404201231 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 0 + 4 + 0 + 420 + 1 + 231 = 666.

40420404201231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40420404201231 - 214 = 40420404184847 is a prime.

It is a super-2 number, since 2×404204042012312 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40420404201195 and 40420404201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40420404201271) 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, 86826196 + ... + 87290486.

It is an arithmetic number, because the mean of its divisors is an integer number (1884863017800).

Almost surely, 240420404201231 is an apocalyptic number.

40420404201231 is a deficient number, since it is larger than the sum of its proper divisors (19895212368369).

40420404201231 is a wasteful number, since it uses less digits than its factorization.

40420404201231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487636 (or 487630 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40420404201231 its reverse (13210240402404), we get a palindrome (53630644603635).

The spelling of 40420404201231 in words is "forty trillion, four hundred twenty billion, four hundred four million, two hundred one thousand, two hundred thirty-one".

Divisors: 1 3 9 27 139 417 1251 3753 23197 69591 208773 464291 626319 1392873 3224383 4178619 9673149 12535857 29019447 64536449 87058341 193609347 580828041 1742484123 10770158327 32310474981 96931424943 290794274829 1497052007453 4491156022359 13473468067077 40420404201231