Search a number
-
+
42040441525554 = 23217191877820187
BaseRepresentation
bin10011000111100010011011…
…00101010101010100110010
312111212000201122122012222100
421203301031211111110302
521002242311012304204
6225225040123321230
711566215221615103
oct1143611545252462
9174760648565870
1042040441525554
111243928428164a
12486b876980216
131a5c5205019c4
14a54aa802a3aa
154cd87d348a39
hex263c4d955532

42040441525554 has 96 divisors (see below), whose sum is σ = 97061336626176. Its totient is φ = 13105128752640.

The previous prime is 42040441525553. The next prime is 42040441525633. The reversal of 42040441525554 is 45552514404024.

42040441525554 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 4 + 41 + 52 + 5 + 554 = 666.

It is not an unprimeable number, because it can be changed into a prime (42040441525553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50847049 + ... + 51667235.

It is an arithmetic number, because the mean of its divisors is an integer number (1011055589856).

Almost surely, 242040441525554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42040441525554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48530668313088).

42040441525554 is an abundant number, since it is smaller than the sum of its proper divisors (55020895100622).

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

42040441525554 is a wasteful number, since it uses less digits than its factorization.

42040441525554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821280 (or 821277 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

Adding to 42040441525554 its reverse (45552514404024), we get a palindrome (87592955929578).

The spelling of 42040441525554 in words is "forty-two trillion, forty billion, four hundred forty-one million, five hundred twenty-five thousand, five hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 573 877 1146 1719 1754 2631 3247 3438 5262 6494 7893 9741 14909 15786 19482 29223 29818 44727 58446 89454 134181 167507 268362 335014 502521 820187 1005042 1507563 1640374 2460561 2847619 3015126 4921122 5695238 7381683 8542857 13943179 14763366 17085714 25628571 27886358 41829537 51257142 83659074 125488611 156655717 250977222 313311434 469967151 719303999 939934302 1409901453 1438607998 2157911997 2663147189 2819802906 4315823994 5326294378 6473735991 7989441567 12228167983 12947471982 15978883134 23968324701 24456335966 36684503949 47936649402 73369007898 110053511847 137387063809 220107023694 274774127618 412161191427 824322382854 1236483574281 2335580084753 2472967148562 4671160169506 7006740254259 14013480508518 21020220762777 42040441525554