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2421478741242 = 23112101241113697
BaseRepresentation
bin100011001111001011011…
…000010101010011111010
322120111021000110022211210
4203033023120111103322
5304133142024204432
65052224553103550
7336642333456651
oct43171330252372
98514230408753
102421478741242
11853a41692400
123313703b7bb6
13147462a38252
14852b34a6198
1542ec538c8cc
hex233cb6154fa

2421478741242 has 96 divisors (see below), whose sum is σ = 5378578656192. Its totient is φ = 726161920000.

The previous prime is 2421478741169. The next prime is 2421478741271.

2421478741242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2421478741191 and 2421478741200.

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, 176782138 + ... + 176795834.

It is an arithmetic number, because the mean of its divisors is an integer number (56026861002).

Almost surely, 22421478741242 is an apocalyptic number.

2421478741242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2421478741242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689289328096).

2421478741242 is an abundant number, since it is smaller than the sum of its proper divisors (2957099914950).

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

2421478741242 is a wasteful number, since it uses less digits than its factorization.

2421478741242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16225 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 48.

The spelling of 2421478741242 in words is "two trillion, four hundred twenty-one billion, four hundred seventy-eight million, seven hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 2222 2411 3333 4822 6666 7233 12221 13697 14466 24442 26521 27394 36663 41091 53042 73326 79563 82182 150667 159126 243511 291731 301334 452001 487022 583462 730533 875193 904002 1383397 1461066 1657337 1750386 2678621 2766794 3314674 4150191 4972011 5357242 8035863 8300382 9944022 15217367 16071726 29464831 30434734 33023467 45652101 58929662 66046934 88394493 91304202 99070401 167391037 176788986 198140802 334782074 363258137 502173111 726516274 1004346222 1089774411 2179548822 3335370167 3995839507 6670740334 7991679014 10006110501 11987518521 20012221002 23975037042 36689071837 73378143674 110067215511 220134431022 403579790207 807159580414 1210739370621 2421478741242