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254100400214141 = 13243136332564831
BaseRepresentation
bin111001110001101001011100…
…000101111001000001111101
31020022200202112210012100111002
4321301221130011321001331
5231301140104423323031
62300232040133540045
7104344101536553455
oct7161513405710175
91208622483170432
10254100400214141
1173a6741359a998
12245ba439aa4625
13aba27461a4c00
1446a674c80ad65
151e59b040eaccb
hexe71a5c17907d

254100400214141 has 24 divisors (see below), whose sum is σ = 281569739717376. Its totient is φ = 229082572293120.

The previous prime is 254100400214117. The next prime is 254100400214153. The reversal of 254100400214141 is 141412004001452.

It is not a de Polignac number, because 254100400214141 - 210 = 254100400213117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254100400214191) 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, 97788596 + ... + 100353426.

It is an arithmetic number, because the mean of its divisors is an integer number (11732072488224).

Almost surely, 2254100400214141 is an apocalyptic number.

It is an amenable number.

254100400214141 is a deficient number, since it is larger than the sum of its proper divisors (27469339503235).

254100400214141 is a wasteful number, since it uses less digits than its factorization.

254100400214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578533 (or 2578520 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 254100400214141 its reverse (141412004001452), we get a palindrome (395512404215593).

The spelling of 254100400214141 in words is "two hundred fifty-four trillion, one hundred billion, four hundred million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 13 43 169 559 7267 13633 177229 586219 2303977 2564831 7620847 33342803 99071011 110287733 433456439 1433740529 18638626877 34966341023 454562433299 1503552663989 5909311632887 19546184631857 254100400214141