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34244433444243 = 31167503145121221
BaseRepresentation
bin1111100100101001001110…
…10010100111110110010011
311111020201212110000222120210
413302110213102213312103
513442030044430203433
6200455401530135203
710133035661400501
oct762244722476623
9144221773028523
1034244433444243
11aa02a89a24170
123a10973581503
13161530bc7bc99
14865621abb671
153e5b9a033463
hex1f25274a7d93

34244433444243 has 64 divisors (see below), whose sum is σ = 50691321483264. Its totient is φ = 20388770160000.

The previous prime is 34244433444239. The next prime is 34244433444281.

34244433444243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34244433444243 - 22 = 34244433444239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34244433444192 and 34244433444201.

It is not an unprimeable number, because it can be changed into a prime (34244433444043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1613694373 + ... + 1613715593.

It is an arithmetic number, because the mean of its divisors is an integer number (792051898176).

Almost surely, 234244433444243 is an apocalyptic number.

34244433444243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34244433444243 is a deficient number, since it is larger than the sum of its proper divisors (16446888039021).

34244433444243 is a wasteful number, since it uses less digits than its factorization.

34244433444243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23256.

The product of its digits is 21233664, while the sum is 48.

It can be divided in two parts, 3424443 and 3444243, that added together give a palindrome (6868686).

The spelling of 34244433444243 in words is "thirty-four trillion, two hundred forty-four billion, four hundred thirty-three million, four hundred forty-four thousand, two hundred forty-three".

Divisors: 1 3 11 33 67 201 503 737 1451 1509 2211 4353 5533 15961 16599 21221 33701 47883 63663 97217 101103 233431 291651 370711 700293 729853 1069387 1112133 1421807 2189559 3208161 4265421 8028383 10674163 15639877 24085149 30791671 32022489 46919631 48900151 92375013 117415793 146700453 338708381 352247379 537901661 715168921 1016125143 1613704983 2063041957 2145506763 6189125871 7866858131 15488210513 22693461527 23600574393 46464631539 68080384581 170370315643 511110946929 1037710104371 3113130313113 11414811148081 34244433444243