Search a number
-
+
24442000004020 = 22528112793400399
BaseRepresentation
bin1011000111010110110001…
…01110100101001110110100
310012112122002000010211211011
411203223120232211032310
511200424204000112040
6123552255542122004
75101606355046244
oct543533056451664
9105478060124734
1024442000004020
117873880889725
1228a9034420304
131083b41c49191
14606ddb7c7b24
152c5bd4ad53ea
hex163ad8ba53b4

24442000004020 has 48 divisors (see below), whose sum is σ = 51551152128000. Its totient is φ = 9734387362560.

The previous prime is 24442000003973. The next prime is 24442000004029. The reversal of 24442000004020 is 2040000024442.

It is a super-2 number, since 2×244420000040202 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24442000003982 and 24442000004000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24442000004029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5487781 + ... + 8888179.

It is an arithmetic number, because the mean of its divisors is an integer number (1073982336000).

Almost surely, 224442000004020 is an apocalyptic number.

24442000004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24442000004020 is an abundant number, since it is smaller than the sum of its proper divisors (27109152123980).

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

24442000004020 is a wasteful number, since it uses less digits than its factorization.

24442000004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401968 (or 3401966 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 24442000004020 its reverse (2040000024442), we get a palindrome (26482000028462).

The spelling of 24442000004020 in words is "twenty-four trillion, four hundred forty-two billion, four thousand, twenty".

Divisors: 1 2 4 5 10 20 281 562 1124 1279 1405 2558 2810 5116 5620 6395 12790 25580 359399 718798 1437596 1796995 3400399 3593990 6800798 7187980 13601596 17001995 34003990 68007980 955512119 1911024238 3822048476 4349110321 4777560595 8698220642 9555121190 17396441284 19110242380 21745551605 43491103210 86982206420 1222100000201 2444200000402 4888400000804 6110500001005 12221000002010 24442000004020