Search a number
-
+
1234344414020 = 225433673211789
BaseRepresentation
bin10001111101100100101…
…010010000101101000100
311101000001120210010000112
4101331210222100231010
5130210414132222040
62343014444332152
7155115130255664
oct21754452205504
94330046703015
101234344414020
11436534273733
1217b283544058
138c523a4cc93
1443a5793c1a4
1522194e1d365
hex11f64a90b44

1234344414020 has 48 divisors (see below), whose sum is σ = 2601982472880. Its totient is φ = 491863228416.

The previous prime is 1234344413993. The next prime is 1234344414053. The reversal of 1234344414020 is 204144434321.

It can be written as a sum of positive squares in 8 ways, for example, as 9178789636 + 1225165624384 = 95806^2 + 1106872^2 .

It is a super-2 number, since 2×12343444140202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722286 + ... + 5934074.

It is an arithmetic number, because the mean of its divisors is an integer number (54207968185).

Almost surely, 21234344414020 is an apocalyptic number.

1234344414020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1234344414020 is an abundant number, since it is smaller than the sum of its proper divisors (1367638058860).

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

1234344414020 is a wasteful number, since it uses less digits than its factorization.

1234344414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212904 (or 212902 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1234344414020 its reverse (204144434321), we get a palindrome (1438488848341).

The spelling of 1234344414020 in words is "one trillion, two hundred thirty-four billion, three hundred forty-four million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 433 673 866 1346 1732 2165 2692 3365 4330 6730 8660 13460 211789 291409 423578 582818 847156 1058945 1165636 1457045 2117890 2914090 4235780 5828180 91704637 142533997 183409274 285067994 366818548 458523185 570135988 712669985 917046370 1425339970 1834092740 2850679940 61717220701 123434441402 246868882804 308586103505 617172207010 1234344414020