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13344142234122 = 2327479509434377
BaseRepresentation
bin1100001000101110110011…
…0110111001001000001010
31202020200120012211101111200
43002023230312321020022
53222112300402442442
644214114143005030
72545040166335130
oct302135466711012
952220505741450
1013344142234122
114285245456917
1215b6226299776
1375a468a9b18b
14341c07911750
151821a22eb34c
hexc22ecdb920a

13344142234122 has 96 divisors (see below), whose sum is σ = 33176749132800. Its totient is φ = 3797169041664.

The previous prime is 13344142234121. The next prime is 13344142234133. The reversal of 13344142234122 is 22143224144331.

13344142234122 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 14 + 223 + 412 + 2 = 666.

It is a super-2 number, since 2×133441422341222 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13344142234121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30502998 + ... + 30937374.

It is an arithmetic number, because the mean of its divisors is an integer number (345591136800).

Almost surely, 213344142234122 is an apocalyptic number.

13344142234122 is an abundant number, since it is smaller than the sum of its proper divisors (19832606898678).

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

13344142234122 is a wasteful number, since it uses less digits than its factorization.

13344142234122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435380 (or 435377 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 13344142234122 its reverse (22143224144331), we get a palindrome (35487366378453).

The spelling of 13344142234122 in words is "thirteen trillion, three hundred forty-four billion, one hundred forty-two million, two hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 479 509 958 1018 1437 1527 2874 3054 3353 3563 4311 4581 6706 7126 8622 9162 10059 10689 20118 21378 30177 32067 60354 64134 243811 434377 487622 731433 868754 1303131 1462866 1706677 2194299 2606262 3040639 3413354 3909393 4388598 5120031 6081278 7818786 9121917 10240062 15360093 18243834 27365751 30720186 54731502 208066583 221097893 416133166 442195786 624199749 663293679 1248399498 1326587358 1456466081 1547685251 1872599247 1989881037 2912932162 3095370502 3745198494 3979762074 4369398243 4643055753 8738796486 9286111506 13108194729 13929167259 26216389458 27858334518 105905890747 211811781494 317717672241 635435344482 741341235229 953153016723 1482682470458 1906306033446 2224023705687 4448047411374 6672071117061 13344142234122