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254401140220231 = 312438374173559
BaseRepresentation
bin111001110110000001100001…
…100101111110000101000111
31020100202111210212120120202011
4321312001201211332011013
5231321102013344021411
62301022134223555051
7104404606261462234
oct7166014145760507
91210674725516664
10254401140220231
1174072a10480774
122464878b15ba87
13abc4c0340c434
1446b711bd3c78b
151e62856730c21
hexe7606197e147

254401140220231 has 24 divisors (see below), whose sum is σ = 272226459415680. Its totient is φ = 237571972389360.

The previous prime is 254401140220187. The next prime is 254401140220301. The reversal of 254401140220231 is 132022041104452.

254401140220231 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 254401140220231 - 213 = 254401140212039 is a prime.

It is a super-2 number, since 2×2544011402202312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 254401140220193 and 254401140220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254401140223231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33656971 + ... + 40516588.

It is an arithmetic number, because the mean of its divisors is an integer number (11342769142320).

Almost surely, 2254401140220231 is an apocalyptic number.

254401140220231 is a deficient number, since it is larger than the sum of its proper divisors (17825319195449).

254401140220231 is an equidigital number, since it uses as much as digits as its factorization.

254401140220231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74173747 (or 74173716 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 254401140220231 its reverse (132022041104452), we get a palindrome (386423181324683).

The spelling of 254401140220231 in words is "two hundred fifty-four trillion, four hundred one billion, one hundred forty million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 31 43 83 961 1333 2573 3569 41323 79763 110639 3429809 74173559 2299380329 3189463037 6156405397 71280790199 98873354147 190848567307 264725432071 3065073978557 5916305586517 8206488394201 254401140220231