Search a number
-
+
4244241012444 = 22332391021161047
BaseRepresentation
bin111101110000110000011…
…110100101011011011100
3120000202010110020200022000
4331300300132211123130
51024014201144344234
613005435530322300
7615431151234516
oct75606036453334
916022113220260
104244241012444
111396a7744a274
1258668b889390
1324a2cba05484
141095cad5cbb6
15756083e7899
hex3dc307a56dc

4244241012444 has 96 divisors (see below), whose sum is σ = 11060518963200. Its totient is φ = 1407438970560.

The previous prime is 4244241012421. The next prime is 4244241012449. The reversal of 4244241012444 is 4442101424424.

4244241012444 is a `hidden beast` number, since 42 + 4 + 42 + 410 + 124 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4244241012399 and 4244241012408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244241012449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26273529 + ... + 26434575.

It is an arithmetic number, because the mean of its divisors is an integer number (115213739200).

Almost surely, 24244241012444 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 4244241012444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530259481600).

4244241012444 is an abundant number, since it is smaller than the sum of its proper divisors (6816277950756).

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

4244241012444 is a wasteful number, since it uses less digits than its factorization.

4244241012444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162320 (or 162312 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 4244241012444 its reverse (4442101424424), we get a palindrome (8686342436868).

The spelling of 4244241012444 in words is "four trillion, two hundred forty-four billion, two hundred forty-one million, twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1021 1434 2042 2151 2868 3063 4084 4302 6126 6453 8604 9189 12252 12906 18378 25812 27567 36756 55134 110268 161047 244019 322094 483141 488038 644188 732057 966282 976076 1449423 1464114 1932564 2196171 2898846 2928228 4348269 4392342 5797692 6588513 8696538 8784684 13177026 17393076 26354052 38490233 76980466 115470699 153960932 164428987 230941398 328857974 346412097 461882796 493286961 657715948 692824194 986573922 1039236291 1385648388 1479860883 1973147844 2078472582 2959721766 4156945164 4439582649 5919443532 8879165298 17758330596 39298527893 78597055786 117895583679 157194111572 235791167358 353686751037 471582334716 707373502074 1061060253111 1414747004148 2122120506222 4244241012444