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2444310420040 = 235504111212191
BaseRepresentation
bin100011100100011100010…
…000010001101001001000
322122200012012021210011001
4203210130100101221020
5310021421431420130
65110522315144344
7341411201522116
oct43443420215110
98580165253131
102444310420040
11862698566635
123358827450b4
13149660c82268
148643b89aab6
15438ae9ee6ca
hex2391c411a48

2444310420040 has 32 divisors (see below), whose sum is σ = 5499812079360. Its totient is φ = 977703966400.

The previous prime is 2444310420031. The next prime is 2444310420067. The reversal of 2444310420040 is 400240134442.

It is a super-2 number, since 2×24443104200402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444310419990 and 2444310420008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1410345 + ... + 2622535.

It is an arithmetic number, because the mean of its divisors is an integer number (171869127480).

Almost surely, 22444310420040 is an apocalyptic number.

2444310420040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444310420040 is an abundant number, since it is smaller than the sum of its proper divisors (3055501659320).

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

2444310420040 is a wasteful number, since it uses less digits than its factorization.

2444310420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262613 (or 1262609 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2444310420040 its reverse (400240134442), we get a palindrome (2844550554482).

The spelling of 2444310420040 in words is "two trillion, four hundred forty-four billion, three hundred ten million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 50411 100822 201644 252055 403288 504110 1008220 1212191 2016440 2424382 4848764 6060955 9697528 12121910 24243820 48487640 61107760501 122215521002 244431042004 305538802505 488862084008 611077605010 1222155210020 2444310420040