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34201423224012 = 223112324593458069
BaseRepresentation
bin1111100011011001000111…
…01011101001110011001100
311111002121211222201102020010
413301230203223221303030
513440324003321132022
6200423530015553220
710126654102506432
oct761544353516314
9144077758642203
1034201423224012
11a996818865110
123a0456b52b810
131611246377325
14863501806d52
153e49ce13950c
hex1f1b23ae9ccc

34201423224012 has 96 divisors (see below), whose sum is σ = 90847198149120. Its totient is φ = 9913031265280.

The previous prime is 34201423224011. The next prime is 34201423224037. The reversal of 34201423224012 is 21042232410243.

It is a super-2 number, since 2×342014232240122 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34201423224011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74435314 + ... + 74893382.

It is an arithmetic number, because the mean of its divisors is an integer number (946324980720).

Almost surely, 234201423224012 is an apocalyptic number.

It is an amenable number.

34201423224012 is an abundant number, since it is smaller than the sum of its proper divisors (56645774925108).

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

34201423224012 is a wasteful number, since it uses less digits than its factorization.

34201423224012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482703 (or 482701 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34201423224012 its reverse (21042232410243), we get a palindrome (55243655634255).

The spelling of 34201423224012 in words is "thirty-four trillion, two hundred one billion, four hundred twenty-three million, two hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 24593 49186 73779 98372 147558 270523 295116 458069 541046 565639 811569 916138 1082092 1131278 1374207 1623138 1696917 1832276 2262556 2748414 3246276 3393834 5038759 5496828 6222029 6787668 10077518 10535587 12444058 15116277 18666087 20155036 21071174 24888116 30232554 31606761 37332174 42142348 60465108 63213522 74664348 115891457 126427044 231782914 347674371 463565828 695348742 1390697484 11265290917 22530581834 33795872751 45061163668 67591745502 123918200087 135183491004 247836400174 259101691091 371754600261 495672800348 518203382182 743509200522 777305073273 1036406764364 1487018401044 1554610146546 2850118602001 3109220293092 5700237204002 8550355806003 11400474408004 17100711612006 34201423224012