Search a number
-
+
25042341400032 = 2531154143834267
BaseRepresentation
bin1011011000110100111111…
…10111010000110111100000
310021200000122211101121121010
411230122133313100313200
511240243203344300112
6125132143125500520
75163151364525025
oct554323767206740
9107600584347533
1025042341400032
117a85440960090
122985459571740
1310c8637539558
146280ad13954c
152d661e8dc63c
hex16c69fdd0de0

25042341400032 has 96 divisors (see below), whose sum is σ = 71844715926144. Its totient is φ = 7574561164800.

The previous prime is 25042341400007. The next prime is 25042341400033. The reversal of 25042341400032 is 23000414324052.

25042341400032 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25042341400033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21345838 + ... + 22488429.

It is an arithmetic number, because the mean of its divisors is an integer number (748382457564).

Almost surely, 225042341400032 is an apocalyptic number.

25042341400032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25042341400032 is an abundant number, since it is smaller than the sum of its proper divisors (46802374526112).

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

25042341400032 is a wasteful number, since it uses less digits than its factorization.

25042341400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43834832 (or 43834824 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 25042341400032 its reverse (23000414324052), we get a palindrome (48042755724084).

The spelling of 25042341400032 in words is "twenty-five trillion, forty-two billion, three hundred forty-one million, four hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 541 1056 1082 1623 2164 3246 4328 5951 6492 8656 11902 12984 17312 17853 23804 25968 35706 47608 51936 71412 95216 142824 190432 285648 571296 43834267 87668534 131502801 175337068 263005602 350674136 482176937 526011204 701348272 964353874 1052022408 1402696544 1446530811 1928707748 2104044816 2893061622 3857415496 4208089632 5786123244 7714830992 11572246488 15429661984 23144492976 23714338447 46288985952 47428676894 71143015341 94857353788 142286030682 189714707576 260857722917 284572061364 379429415152 521715445834 569144122728 758858830304 782573168751 1043430891668 1138288245456 1565146337502 2086861783336 2276576490912 3130292675004 4173723566672 6260585350008 8347447133344 12521170700016 25042341400032