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242342233140 = 223572197418423
BaseRepresentation
bin1110000110110010111…
…0010000010000110100
3212011112020122222211110
43201230232100100310
512432304102430030
6303155215035020
723336315664600
oct3415456202064
9764466588743
10242342233140
119385a966707
123ab73b0ba70
1319b117129b7
14ba2d792500
1564858c11b0
hex386cb90434

242342233140 has 144 divisors (see below), whose sum is σ = 793351988352. Its totient is φ = 55111198464.

The previous prime is 242342233097. The next prime is 242342233207. The reversal of 242342233140 is 41332243242.

It is a super-2 number, since 2×2423422331402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242342233098 and 242342233107.

It is a congruent number.

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, 369969 + ... + 788391.

It is an arithmetic number, because the mean of its divisors is an integer number (5509388808).

Almost surely, 2242342233140 is an apocalyptic number.

242342233140 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 242342233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396675994176).

242342233140 is an abundant number, since it is smaller than the sum of its proper divisors (551009755212).

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

242342233140 is a wasteful number, since it uses less digits than its factorization.

242342233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418646 (or 418637 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242342233140 its reverse (41332243242), we get a palindrome (283674476382).

The spelling of 242342233140 in words is "two hundred forty-two billion, three hundred forty-two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 197 210 245 294 394 420 490 588 591 735 788 980 985 1182 1379 1470 1970 2364 2758 2940 2955 3940 4137 5516 5910 6895 8274 9653 11820 13790 16548 19306 20685 27580 28959 38612 41370 48265 57918 82740 96530 115836 144795 193060 289590 418423 579180 836846 1255269 1673692 2092115 2510538 2928961 4184230 5021076 5857922 6276345 8368460 8786883 11715844 12552690 14644805 17573766 20502727 25105380 29289610 35147532 41005454 43934415 58579220 61508181 82010908 82429331 87868830 102513635 123016362 164858662 175737660 205027270 246032724 247287993 307540905 329717324 410054540 412146655 494575986 577005317 615081810 824293310 989151972 1154010634 1230163620 1236439965 1648586620 1731015951 2308021268 2472879930 2885026585 3462031902 4039037219 4945759860 5770053170 6924063804 8078074438 8655079755 11540106340 12117111657 16156148876 17310159510 20195186095 24234223314 34620319020 40390372190 48468446628 60585558285 80780744380 121171116570 242342233140