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2441243243412 = 22324143149325763
BaseRepresentation
bin100011100001100101011…
…011111011001110010100
322122101021102212001210200
4203201211123323032110
5304444131232242122
65105254111020500
7341242166122161
oct43414533731624
98571242761720
102441243243412
11861364193416
1233516750a730
131492926aa34c
148622a3a9068
15437805db5ac
hex238656fb394

2441243243412 has 144 divisors (see below), whose sum is σ = 6473024445888. Its totient is φ = 774887984640.

The previous prime is 2441243243407. The next prime is 2441243243431. The reversal of 2441243243412 is 2143423421442.

2441243243412 is a `hidden beast` number, since 244 + 12 + 43 + 24 + 341 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94744843 + ... + 94770605.

It is an arithmetic number, because the mean of its divisors is an integer number (44951558652).

Almost surely, 22441243243412 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 2441243243412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236512222944).

2441243243412 is an abundant number, since it is smaller than the sum of its proper divisors (4031781202476).

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

2441243243412 is a wasteful number, since it uses less digits than its factorization.

2441243243412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27350 (or 27345 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 2441243243412 its reverse (2143423421442), we get a palindrome (4584666664854).

The spelling of 2441243243412 in words is "two trillion, four hundred forty-one billion, two hundred forty-three million, two hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 246 258 369 387 492 516 738 774 1476 1493 1548 1763 2986 3526 4479 5289 5972 7052 8958 10578 13437 15867 17916 21156 25763 26874 31734 51526 53748 61213 63468 64199 77289 103052 122426 128398 154578 183639 192597 231867 244852 256796 309156 367278 385194 463734 550917 577791 734556 770388 927468 1056283 1101834 1107809 1155582 2112566 2203668 2215618 2311164 2632159 3168849 3323427 4225132 4431236 5264318 6337698 6646854 7896477 9506547 9970281 10528636 12675396 13293708 15792954 19013094 19940562 23689431 31585908 38026188 38464159 39881124 45420169 47378862 76928318 90840338 94757724 115392477 136260507 153856636 181680676 230784954 272521014 346177431 408781521 461569908 545042028 692354862 817563042 1384709724 1577030519 1635126084 1653958837 3154061038 3307917674 4731091557 4961876511 6308122076 6615835348 9462183114 9923753022 14193274671 14885629533 18924366228 19847506044 28386549342 29771259066 56773098684 59542518132 67812312317 135624624634 203436936951 271249249268 406873873902 610310810853 813747747804 1220621621706 2441243243412