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331410243120404 = 227231137398132467
BaseRepresentation
bin100101101011010100111010…
…1110100001110110100010100
31121110102111202122212120102212
41023112221311310032310110
5321414311134214323104
63132503432555452552
7126543412526001200
oct11326516564166424
91543374678776385
10331410243120404
1196663327437828
1231205637a57158
13112bcb0c60c606
145bba4ac959b00
15284ab1ab7b36e
hex12d6a75d0ed14

331410243120404 has 72 divisors (see below), whose sum is σ = 701503038496512. Its totient is φ = 136447958747520.

The previous prime is 331410243120379. The next prime is 331410243120461. The reversal of 331410243120404 is 404021342014133.

It is a super-2 number, since 2×3314102431204042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198233822 + ... + 199898645.

It is an arithmetic number, because the mean of its divisors is an integer number (9743097756896).

Almost surely, 2331410243120404 is an apocalyptic number.

It is an amenable number.

331410243120404 is an abundant number, since it is smaller than the sum of its proper divisors (370092795376108).

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

331410243120404 is a wasteful number, since it uses less digits than its factorization.

331410243120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398132653 (or 398132644 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 331410243120404 its reverse (404021342014133), we get a palindrome (735431585134537).

The spelling of 331410243120404 in words is "three hundred thirty-one trillion, four hundred ten billion, two hundred forty-three million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 137 196 217 274 434 548 868 959 1519 1918 3038 3836 4247 6076 6713 8494 13426 16988 26852 29729 59458 118916 208103 416206 832412 398132467 796264934 1592529868 2786927269 5573854538 11147709076 12342106477 19508490883 24684212954 39016981766 49368425908 54544147979 78033963532 86394745339 109088295958 172789490678 218176591916 345578981356 381809035853 604763217373 763618071706 1209526434746 1527236143412 1690868587349 2419052869492 2672663250971 3381737174698 5345326501942 6763474349396 10690653003884 11836080111443 23672160222886 47344320445772 82852560780101 165705121560202 331410243120404