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4241440242 = 23213414331021
BaseRepresentation
bin1111110011001111…
…0011110111110010
3101221121000111012100
43330303303313302
532141302041432
61540512441230
7210051434664
oct37463636762
911847014170
104241440242
111887200916
129a4549216
13527957c70
142c3442534
1519c56807c
hexfccf3df2

4241440242 has 96 divisors (see below), whose sum is σ = 10171442736. Its totient is φ = 1269043200.

The previous prime is 4241440237. The next prime is 4241440253. The reversal of 4241440242 is 2420441424.

4241440242 is a `hidden beast` number, since 4 + 2 + 414 + 4 + 0 + 242 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 68409441 + 4173030801 = 8271^2 + 64599^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4153692 + ... + 4154712.

Almost surely, 24241440242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241440242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085721368).

4241440242 is an abundant number, since it is smaller than the sum of its proper divisors (5930002494).

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

4241440242 is a wasteful number, since it uses less digits than its factorization.

4241440242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4241440242 is about 65126.3406157601. The cubic root of 4241440242 is about 1618.7177072771.

Adding to 4241440242 its reverse (2420441424), we get a palindrome (6661881666).

The spelling of 4241440242 in words is "four billion, two hundred forty-one million, four hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 433 533 738 866 1021 1066 1299 1599 2042 2598 3063 3198 3897 4797 5629 6126 7794 9189 9594 11258 13273 16887 17753 18378 26546 33774 35506 39819 41861 50661 53259 79638 83722 101322 106518 119457 125583 159777 230789 238914 251166 319554 376749 442093 461578 544193 692367 753498 884186 1088386 1326279 1384734 1632579 2077101 2652558 3265158 3978837 4154202 4897737 5747209 7957674 9795474 11494418 17241627 18125813 34483254 36251626 51724881 54377439 103449762 108754878 163132317 235635569 326264634 471271138 706906707 1413813414 2120720121 4241440242