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254142454540 = 2251319495110391
BaseRepresentation
bin1110110010110000010…
…0100001101100001100
3220021222121212100110111
43230230010201230030
513130440432021130
6312430150445404
724234613135462
oct3545404415414
9807877770414
10254142454540
11988658766a7
1241307963864
131ac72369c20
14c42ca48832
15692682d02a
hex3b2c121b0c

254142454540 has 96 divisors (see below), whose sum is σ = 605183523840. Its totient is φ = 88871904000.

The previous prime is 254142454523. The next prime is 254142454543. The reversal of 254142454540 is 45454241452.

It is a super-2 number, since 2×2541424545402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254142454493 and 254142454502.

It is not an unprimeable number, because it can be changed into a prime (254142454543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24452745 + ... + 24463135.

It is an arithmetic number, because the mean of its divisors is an integer number (6303995040).

Almost surely, 2254142454540 is an apocalyptic number.

254142454540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254142454540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302591761920).

254142454540 is an abundant number, since it is smaller than the sum of its proper divisors (351041069300).

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

254142454540 is a wasteful number, since it uses less digits than its factorization.

254142454540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15383 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 254142454540 its reverse (45454241452), we get a palindrome (299596695992).

The spelling of 254142454540 in words is "two hundred fifty-four billion, one hundred forty-two million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 988 1235 2470 4940 4951 9902 10391 19804 20782 24755 41564 49510 51955 64363 94069 99020 103910 128726 135083 188138 197429 207820 257452 270166 321815 376276 394858 470345 540332 643630 675415 789716 940690 987145 1222897 1287260 1350830 1881380 1974290 2445794 2566577 2701660 3948580 4891588 5133154 6114485 10266308 12228970 12832885 24457940 25665770 51331540 51445841 102891682 205783364 257229205 514458410 668795933 977470979 1028916820 1337591866 1954941958 2675183732 3343979665 3909883916 4887354895 6687959330 9774709790 12707122727 13375918660 19549419580 25414245454 50828490908 63535613635 127071227270 254142454540