Search a number
-
+
10444022413340 = 225697877748271
BaseRepresentation
bin1001011111111011000000…
…1111101111100000011100
31100222102211212201221002112
42113332300033233200130
52332103324214211330
634113530114213152
72125361416522565
oct227766017574034
940872755657075
1010444022413340
1133673154170aa
121208155b841b8
135a9b36cb7549
142816c9ba916c
15131a16524795
hex97fb03ef81c

10444022413340 has 24 divisors (see below), whose sum is σ = 21932507806272. Its totient is φ = 4177597396160.

The previous prime is 10444022413337. The next prime is 10444022413343. The reversal of 10444022413340 is 4331422044401.

It is an interprime number because it is at equal distance from previous prime (10444022413337) and next prime (10444022413343).

It is a junction number, because it is equal to n+sod(n) for n = 10444022413297 and 10444022413306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444022413343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13583405 + ... + 14331675.

It is an arithmetic number, because the mean of its divisors is an integer number (913854491928).

Almost surely, 210444022413340 is an apocalyptic number.

10444022413340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10444022413340 is an abundant number, since it is smaller than the sum of its proper divisors (11488485392932).

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

10444022413340 is a wasteful number, since it uses less digits than its factorization.

10444022413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446157 (or 1446155 counting only the distinct ones).

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

Adding to 10444022413340 its reverse (4331422044401), we get a palindrome (14775444457741).

The spelling of 10444022413340 in words is "ten trillion, four hundred forty-four billion, twenty-two million, four hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 697877 748271 1395754 1496542 2791508 2993084 3489385 3741355 6978770 7482710 13957540 14965420 522201120667 1044402241334 2088804482668 2611005603335 5222011206670 10444022413340