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241433144203312 = 241922914472396731
BaseRepresentation
bin110110111001010100001000…
…110011000001100000110000
31011122211210010221012211211101
4312321110020303001200300
5223121120034404001222
62213252504423454144
7101565653245200625
oct6671241063014060
91148753127184741
10241433144203312
116aa23248832176
12230b343b5b7354
13a494081059419
1443895d857634c
151cda36bac0927
hexdb9508cc1830

241433144203312 has 80 divisors (see below), whose sum is σ = 494888727673600. Its totient is φ = 113784929314560.

The previous prime is 241433144203309. The next prime is 241433144203367. The reversal of 241433144203312 is 213302441334142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99535987 + ... + 101932717.

It is an arithmetic number, because the mean of its divisors is an integer number (6186109095920).

Almost surely, 2241433144203312 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 241433144203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247444363836800).

241433144203312 is an abundant number, since it is smaller than the sum of its proper divisors (253455583470288).

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

241433144203312 is a wasteful number, since it uses less digits than its factorization.

241433144203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398434 (or 2398428 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 241433144203312 its reverse (213302441334142), we get a palindrome (454735585537454).

The spelling of 241433144203312 in words is "two hundred forty-one trillion, four hundred thirty-three billion, one hundred forty-four million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 229 304 458 916 1447 1832 2894 3664 4351 5788 8702 11576 17404 23152 27493 34808 54986 69616 109972 219944 331363 439888 662726 1325452 2396731 2650904 4793462 5301808 6295897 9586924 12591794 19173848 25183588 38347696 45537889 50367176 91075778 100734352 182151556 364303112 548851399 728606224 1097702798 2195405596 3468069757 4390811192 6936139514 8781622384 10428176581 13872279028 20856353162 27744558056 41712706324 55489116112 65893325383 83425412648 131786650766 166850825296 263573301532 527146603064 794187974353 1054293206128 1588375948706 3176751897412 6353503794824 12707007589648 15089571512707 30179143025414 60358286050828 120716572101656 241433144203312