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242333301340 = 225132191375373
BaseRepresentation
bin1110000110110000110…
…0001011101001011100
3212011111121212012201001
43201230030023221130
512432244311120330
6303154255400044
723336150034424
oct3415414135134
9764447765631
10242333301340
1193855916059
123ab70b23024
1319b0c906400
14ba2c509484
156484c099ca
hex386c30ba5c

242333301340 has 72 divisors (see below), whose sum is σ = 553943916288. Its totient is φ = 89008208640.

The previous prime is 242333301281. The next prime is 242333301347. The reversal of 242333301340 is 43103333242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242333301299 and 242333301308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242333301347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457894 + ... + 833266.

It is an arithmetic number, because the mean of its divisors is an integer number (7693665504).

Almost surely, 2242333301340 is an apocalyptic number.

242333301340 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 242333301340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276971958144).

242333301340 is an abundant number, since it is smaller than the sum of its proper divisors (311610614948).

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

242333301340 is a wasteful number, since it uses less digits than its factorization.

242333301340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375599 (or 375584 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 242333301340 its reverse (43103333242), we get a palindrome (285436634582).

The spelling of 242333301340 in words is "two hundred forty-two billion, three hundred thirty-three million, three hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 191 260 338 382 676 764 845 955 1690 1910 2483 3380 3820 4966 9932 12415 24830 32279 49660 64558 129116 161395 322790 375373 645580 750746 1501492 1876865 3753730 4879849 7507460 9759698 19519396 24399245 48798490 63438037 71696243 97596980 126876074 143392486 253752148 286784972 317190185 358481215 634380370 716962430 932051159 1268760740 1433924860 1864102318 3728204636 4660255795 9320511590 12116665067 18641023180 24233330134 48466660268 60583325335 121166650670 242333301340