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2422424242242 = 2323743325326003
BaseRepresentation
bin100011010000000011101…
…111001000100001000010
322120120200220120202101100
4203100003233020201002
5304142111101222432
65052502450315230
7340004634214434
oct43200357104102
98516626522340
102422424242242
11854387372294
12331594b88b16
131475838a32b4
1485362ca8654
154302d3a607c
hex23403bc8842

2422424242242 has 96 divisors (see below), whose sum is σ = 5517706379328. Its totient is φ = 767114748288.

The previous prime is 2422424242241. The next prime is 2422424242247.

2422424242242 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 4 + 2 + 424 + 224 + 2 = 666.

2422424242242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2422424242197 and 2422424242206.

It is not an unprimeable number, because it can be changed into a prime (2422424242241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93146413 + ... + 93172415.

It is an arithmetic number, because the mean of its divisors is an integer number (57476108118).

Almost surely, 22422424242242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422424242242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758853189664).

2422424242242 is an abundant number, since it is smaller than the sum of its proper divisors (3095282137086).

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

2422424242242 is a wasteful number, since it uses less digits than its factorization.

2422424242242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29344 (or 29341 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The spelling of 2422424242242 in words is "two trillion, four hundred twenty-two billion, four hundred twenty-four million, two hundred forty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1591 3182 3253 4773 6506 9546 9759 14319 19518 26003 28638 29277 52006 58554 78009 120361 139879 156018 234027 240722 279758 361083 419637 468054 722166 839274 962111 1083249 1118129 1258911 1924222 2166498 2236258 2517822 2886333 3354387 5175523 5772666 6708774 8658999 10063161 10351046 15526569 17317998 20126322 31053138 41370773 46579707 82741546 84587759 93159414 124112319 169175518 248224638 253763277 372336957 507526554 744673914 761289831 1522579662 3129747083 3637273637 6259494166 7274547274 9389241249 10911820911 18778482498 21823641822 28167723747 32735462733 56335447494 65470925466 134579124569 269158249138 403737373707 807474747414 1211212121121 2422424242242