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2442420101430 = 2325833131044613
BaseRepresentation
bin100011100010101011100…
…101010010000100110110
322122111022110022122111200
4203202223211102010312
5310004034021221210
65110010551113330
7341313306214131
oct43425345220466
98574273278450
102442420101430
11861908523251
12335435672846
1314941c45b23a
14862dc7d3218
15437edaa50c0
hex238ab952136

2442420101430 has 96 divisors (see below), whose sum is σ = 6447340894176. Its totient is φ = 641408481792.

The previous prime is 2442420101371. The next prime is 2442420101491. The reversal of 2442420101430 is 341010242442.

2442420101430 is a `hidden beast` number, since 2 + 4 + 4 + 24 + 201 + 0 + 1 + 430 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2442420101394 and 2442420101403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1815804 + ... + 2860416.

It is an arithmetic number, because the mean of its divisors is an integer number (67159800981).

Almost surely, 22442420101430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442420101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223670447088).

2442420101430 is an abundant number, since it is smaller than the sum of its proper divisors (4004920792746).

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

2442420101430 is a wasteful number, since it uses less digits than its factorization.

2442420101430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045022 (or 1045019 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2442420101430 its reverse (341010242442), we get a palindrome (2783430343872).

The spelling of 2442420101430 in words is "two trillion, four hundred forty-two billion, four hundred twenty million, one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 313 415 498 626 747 830 939 1245 1494 1565 1878 2490 2817 3130 3735 4695 5634 7470 9390 14085 25979 28170 51958 77937 129895 155874 233811 259790 389685 467622 779370 1044613 1169055 2089226 2338110 3133839 5223065 6267678 9401517 10446130 15669195 18803034 31338390 47007585 86702879 94015170 173405758 260108637 326963869 433514395 520217274 653927738 780325911 867028790 980891607 1300543185 1560651822 1634819345 1961783214 2601086370 2942674821 3269638690 3901629555 4904458035 5885349642 7803259110 9808916070 14713374105 27138001127 29426748210 54276002254 81414003381 135690005635 162828006762 244242010143 271380011270 407070016905 488484020286 814140033810 1221210050715 2442420101430