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34312033021344 = 2531327493616203
BaseRepresentation
bin1111100110100111001001…
…00010100010110110100000
311111111012100120120022021120
413303103210202202312200
513444132020423140334
6200550421431452240
710140651110332611
oct763234442426640
9144435316508246
1034312033021344
11aa29719144a61
123a21a9a527080
13161b7c2cc0350
148689d59a3c08
153e7804a37949
hex1f34e48a2da0

34312033021344 has 48 divisors (see below), whose sum is σ = 96997477967712. Its totient is φ = 10557548621568.

The previous prime is 34312033021291. The next prime is 34312033021351. The reversal of 34312033021344 is 44312033021343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×343120330213442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13746806854 + ... + 13746809349.

It is an arithmetic number, because the mean of its divisors is an integer number (2020780790994).

Almost surely, 234312033021344 is an apocalyptic number.

It is an amenable number.

34312033021344 is an abundant number, since it is smaller than the sum of its proper divisors (62685444946368).

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

34312033021344 is a wasteful number, since it uses less digits than its factorization.

34312033021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27493616229 (or 27493616221 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 34312033021344 its reverse (44312033021343), we get a palindrome (78624066042687).

Subtracting 34312033021344 from its reverse (44312033021343), we obtain a palindrome (9999999999999).

The spelling of 34312033021344 in words is "thirty-four trillion, three hundred twelve billion, thirty-three million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 27493616203 54987232406 82480848609 109974464812 164961697218 219948929624 329923394436 357417010639 439897859248 659846788872 714834021278 879795718496 1072251031917 1319693577744 1429668042556 2144502063834 2639387155488 2859336085112 4289004127668 5718672170224 8578008255336 11437344340448 17156016510672 34312033021344