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254121554040 = 23358923794153
BaseRepresentation
bin1110110010101011010…
…0110011000001111000
3220021221011112111100220
43230222310303001320
513130420104212130
6312424122500040
724234240366204
oct3545264630170
9807834474326
10254121554040
1198854aa0862
1241300964620
131ac6ac2c973
14c429d67b04
156924aa0410
hex3b2ad33078

254121554040 has 64 divisors (see below), whose sum is σ = 770930589600. Its totient is φ = 67004332032.

The previous prime is 254121554039. The next prime is 254121554047. The reversal of 254121554040 is 40455121452.

It is a happy number.

254121554040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 254121553992 and 254121554010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254121554047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11886397 + ... + 11907756.

Almost surely, 2254121554040 is an apocalyptic number.

254121554040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254121554040 is an abundant number, since it is smaller than the sum of its proper divisors (516809035560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

254121554040 is a wasteful number, since it uses less digits than its factorization.

254121554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23794256 (or 23794252 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 254121554040 its reverse (40455121452), we get a palindrome (294576675492).

The spelling of 254121554040 in words is "two hundred fifty-four billion, one hundred twenty-one million, five hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 23794153 47588306 71382459 95176612 118970765 142764918 190353224 237941530 285529836 356912295 475883060 571059672 713824590 951766120 1427649180 2117679617 2855298360 4235359234 6353038851 8470718468 10588398085 12706077702 16941436936 21176796170 25412155404 31765194255 42353592340 50824310808 63530388510 84707184680 127060777020 254121554040