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242883550260 = 2232513257403877
BaseRepresentation
bin1110001000110011111…
…1001101110000110100
3212012220222020202022200
43202030333031300310
512434411142102020
6303325033224500
723355611053611
oct3421477156064
9765828222280
10242883550260
119400848322a
123b0a5262130
1319b99902ca0
14ba81621508
1564b819b590
hex388cfcdc34

242883550260 has 144 divisors (see below), whose sum is σ = 796508805456. Its totient is φ = 59553939456.

The previous prime is 242883550241. The next prime is 242883550321. The reversal of 242883550260 is 62055388242.

242883550260 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 83 + 5 + 502 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57335184 + 242826215076 = 7572^2 + 492774^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 399442 + ... + 803318.

It is an arithmetic number, because the mean of its divisors is an integer number (5531311149).

Almost surely, 2242883550260 is an apocalyptic number.

242883550260 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 242883550260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398254402728).

242883550260 is an abundant number, since it is smaller than the sum of its proper divisors (553625255196).

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

242883550260 is a wasteful number, since it uses less digits than its factorization.

242883550260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404162 (or 404157 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 242883550260 in words is "two hundred forty-two billion, eight hundred eighty-three million, five hundred fifty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 257 260 390 468 514 585 771 780 1028 1170 1285 1542 2313 2340 2570 3084 3341 3855 4626 5140 6682 7710 9252 10023 11565 13364 15420 16705 20046 23130 30069 33410 40092 46260 50115 60138 66820 100230 120276 150345 200460 300690 403877 601380 807754 1211631 1615508 2019385 2423262 3634893 4038770 4846524 5250401 6058155 7269786 8077540 10500802 12116310 14539572 15751203 18174465 21001604 24232620 26252005 31502406 36348930 47253609 52504010 63004812 72697860 78756015 94507218 103796389 105008020 157512030 189014436 207592778 236268045 311389167 315024060 415185556 472536090 518981945 622778334 934167501 945072180 1037963890 1245556668 1349353057 1556945835 1868335002 2075927780 2698706114 3113891670 3736670004 4048059171 4670837505 5397412228 6227783340 6746765285 8096118342 9341675010 12144177513 13493530570 16192236684 18683350020 20240295855 24288355026 26987061140 40480591710 48576710052 60720887565 80961183420 121441775130 242883550260