Search a number
-
+
2554340515314 = 237433089457871
BaseRepresentation
bin100101001010111010100…
…011110001110111110010
3100001012012101022202110220
4211022322203301313302
5313322242132442224
65233240422033510
7352354640065650
oct45127243616762
910035171282426
102554340515314
118a53206a1775
1235306b578896
13156b47788603
148b8b8a75dd0
154669e58e279
hex252ba8f1df2

2554340515314 has 64 divisors (see below), whose sum is σ = 5976218603520. Its totient is φ = 712606890240.

The previous prime is 2554340515283. The next prime is 2554340515319. The reversal of 2554340515314 is 4135150434552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2554340515319) 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, 5349799 + ... + 5807669.

It is an arithmetic number, because the mean of its divisors is an integer number (93378415680).

Almost surely, 22554340515314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554340515314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988109301760).

2554340515314 is an abundant number, since it is smaller than the sum of its proper divisors (3421878088206).

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

2554340515314 is a wasteful number, since it uses less digits than its factorization.

2554340515314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461015.

The product of its (nonzero) digits is 720000, while the sum is 42.

Adding to 2554340515314 its reverse (4135150434552), we get a palindrome (6689490949866).

The spelling of 2554340515314 in words is "two trillion, five hundred fifty-four billion, three hundred forty million, five hundred fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1806 3089 6178 9267 18534 21623 43246 64869 129738 132827 265654 398481 457871 796962 915742 929789 1373613 1859578 2747226 2789367 3205097 5578734 6410194 9615291 19230582 19688453 39376906 59065359 118130718 137819171 275638342 413457513 826915026 1414363519 2828727038 4243090557 8486181114 9900544633 19801089266 29701633899 59403267798 60817631317 121635262634 182452893951 364905787902 425723419219 851446838438 1277170257657 2554340515314