Search a number
-
+
2424086202304 = 261343559112119
BaseRepresentation
bin100011010001100110110…
…011000000011111000000
322120201222201212001222201
4203101212303000133000
5304204012031433204
65053335420042544
7340064054514154
oct43214663003700
98521881761881
102424086202304
1185505a5134a8
12331979693454
13147789cc1210
148547d8cb064
15430c92439a4
hex23466cc07c0

2424086202304 has 112 divisors (see below), whose sum is σ = 5302176929280. Its totient is φ = 1092504591360.

The previous prime is 2424086202301. The next prime is 2424086202353. The reversal of 2424086202304 is 4032026804242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424086202301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200017557 + ... + 200029675.

It is an arithmetic number, because the mean of its divisors is an integer number (47340865440).

Almost surely, 22424086202304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424086202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651088464640).

2424086202304 is an abundant number, since it is smaller than the sum of its proper divisors (2878090726976).

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

2424086202304 is a wasteful number, since it uses less digits than its factorization.

2424086202304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17778 (or 17768 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 2424086202304 in words is "two trillion, four hundred twenty-four billion, eighty-six million, two hundred two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 2236 2752 4472 5591 8944 11182 12119 17888 22364 24238 35776 44728 48476 72683 89456 96952 145366 157547 178912 193904 240413 290732 315094 357824 387808 480826 521117 581464 630188 775616 961652 1042234 1162928 1260376 1923304 2084468 2325856 2520752 3125369 3846608 4168936 4651712 5041504 6250738 6774521 7693216 8337872 10083008 12501476 13549042 15386432 16675744 25002952 27098084 33351488 50005904 54196168 67757329 100011808 108392336 135514658 200023616 216784672 271029316 433569344 542058632 880845277 1084117264 1761690554 2168234528 2913565147 3523381108 4336469056 5827130294 7046762216 11654260588 14093524432 23308521176 28187048864 37876346911 46617042352 56374097728 75752693822 93234084704 151505387644 186468169408 303010775288 606021550576 1212043101152 2424086202304