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41142311324114 = 271113172834271587
BaseRepresentation
bin10010101101011001100001…
…10110100000100111010010
312101200011111102012202011112
421112230300312200213102
520343033423144332424
6223300303352213322
711444301554066240
oct1126546066404722
9171604442182145
1041142311324114
11121223a118a120
1247457a499a242
1319c591b2338a0
14a234270c9790
154b531506160e
hex256b30da09d2

41142311324114 has 128 divisors (see below), whose sum is σ = 88044194875392. Its totient is φ = 13876845143040.

The previous prime is 41142311324111. The next prime is 41142311324119.

41142311324114 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (41142311324111) 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, 7495829 + ... + 11767415.

It is an arithmetic number, because the mean of its divisors is an integer number (687845272464).

Almost surely, 241142311324114 is an apocalyptic number.

41142311324114 is an abundant number, since it is smaller than the sum of its proper divisors (46901883551278).

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

41142311324114 is a wasteful number, since it uses less digits than its factorization.

41142311324114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271920.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 4114231 and 1324114, that added together give a palindrome (5438345).

The spelling of 41142311324114 in words is "forty-one trillion, one hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 17 22 26 34 77 91 119 143 154 182 187 221 238 283 286 374 442 566 1001 1309 1547 1981 2002 2431 2618 3094 3113 3679 3962 4811 4862 6226 7358 9622 17017 21791 25753 33677 34034 40469 43582 51506 52921 62543 67354 80938 105842 125086 283283 370447 437801 566566 687973 740894 875602 1375946 4271587 4815811 8543174 9631622 29901109 46987457 55530631 59802218 72616979 93974914 111061262 145233958 328912199 388714417 508318853 610836941 657824398 777428834 798786769 944020727 1016637706 1208859121 1221673882 1597573538 1888041454 2417718242 4275858587 5591507383 6608145089 8462013847 8551717174 10384227997 11183014766 13216290178 13297450331 15715168573 16924027694 20550605057 20768455994 26594900662 31430337146 41101210114 72689595979 93082152317 110006180011 143854235399 145379191958 172866854303 186164304634 220012360022 226056655627 267157865741 287708470798 345733708606 452113311254 534315731482 1210067980121 1582396589389 1870105060187 2420135960242 2938736523151 3164793178778 3740210120374 5877473046302 20571155662057 41142311324114