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244344133135392 = 25322368316711103
BaseRepresentation
bin110111100011101011001101…
…010000100010110000100000
31012001011001220202110100221020
4313203223031100202300200
5224011313241040313032
62223402051203125440
7102316165254644253
oct6743531520426040
91161131822410836
10244344133135392
11709458461310a4
12234a3643973880
13a6457258ca564
14444a467a3b09a
151d3ae41bceb2c
hexde3acd422c20

244344133135392 has 96 divisors (see below), whose sum is σ = 645222944636928. Its totient is φ = 80964085990656.

The previous prime is 244344133135387. The next prime is 244344133135397. The reversal of 244344133135392 is 293531331443442.

It is an interprime number because it is at equal distance from previous prime (244344133135387) and next prime (244344133135397).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (244344133135397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6266113 + ... + 22977215.

It is an arithmetic number, because the mean of its divisors is an integer number (6721072339968).

Almost surely, 2244344133135392 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 244344133135392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322611472318464).

244344133135392 is an abundant number, since it is smaller than the sum of its proper divisors (400878811501536).

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

244344133135392 is a wasteful number, since it uses less digits than its factorization.

244344133135392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16712022 (or 16712014 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 51.

The spelling of 244344133135392 in words is "two hundred forty-four trillion, three hundred forty-four billion, one hundred thirty-three million, one hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 683 892 1338 1366 1784 2049 2676 2732 3568 4098 5352 5464 7136 8196 10704 10928 16392 21408 21856 32784 65568 152309 304618 456927 609236 913854 1218472 1827708 2436944 3655416 4873888 7310832 14621664 16711103 33422206 50133309 66844412 100266618 133688824 200533236 267377648 401066472 534755296 802132944 1604265888 3726575969 7453151938 11179727907 11413683349 14906303876 22359455814 22827366698 29812607752 34241050047 44718911628 45654733396 59625215504 68482100094 89437823256 91309466792 119250431008 136964200188 178875646512 182618933584 273928400376 357751293024 365237867168 547856800752 1095713601504 2545251386827 5090502773654 7635754160481 10181005547308 15271508320962 20362011094616 30543016641924 40724022189232 61086033283848 81448044378464 122172066567696 244344133135392