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242408804242 = 2111719167359569
BaseRepresentation
bin1110000111000010110…
…0001100111110010010
3212011200212221011012211
43201300230030332102
512432423123213432
6303205553542334
723341054560463
oct3416054147622
9764625834184
10242408804242
11938944a5550
123ab922749aa
1319b22450897
14ba38560d6a
15648b670d47
hex3870b0cf92

242408804242 has 128 divisors (see below), whose sum is σ = 446777856000. Its totient is φ = 97214699520.

The previous prime is 242408804233. The next prime is 242408804269.

It is a happy number.

242408804242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242408804195 and 242408804204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 426025734 + ... + 426026302.

It is an arithmetic number, because the mean of its divisors is an integer number (3490452000).

Almost surely, 2242408804242 is an apocalyptic number.

242408804242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242408804242 is a deficient number, since it is larger than the sum of its proper divisors (204369051758).

242408804242 is a wasteful number, since it uses less digits than its factorization.

242408804242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 242408804242 in words is "two hundred forty-two billion, four hundred eight million, eight hundred four thousand, two hundred forty-two".

Divisors: 1 2 11 17 19 22 34 38 167 187 209 323 334 359 374 418 569 646 718 1138 1837 2839 3173 3553 3674 3949 5678 6103 6259 6346 6821 7106 7898 9673 10811 12206 12518 13642 19346 21622 31229 34903 53941 59953 62458 67133 69806 75031 95023 106403 107882 115957 118921 119906 134266 150062 183787 190046 204271 212806 231914 237842 367574 408542 593351 659483 1019201 1045253 1139107 1186702 1275527 1318966 1615391 1805437 2021657 2038402 2090506 2246981 2278214 2551054 3230782 3472607 3610874 3881149 4043314 4493962 6945214 7762298 11211211 12530177 17769301 19364819 19859807 22422422 25060354 30692429 34113257 35538602 38198677 38729638 39719614 42692639 61384858 65979533 68226514 76397354 85385278 131959066 213013009 337616719 375245827 426026018 579925369 648151883 675233438 725774863 750491654 1159850738 1296303766 1451549726 6379179059 7129670713 11018582011 12758358118 14259341426 22037164022 121204402121 242408804242