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114254110211412 = 223172671972496041
BaseRepresentation
bin11001111110100111011011…
…101001110011110101010100
3112222112120211101102201020210
4121332213123221303311110
5104433414404203231122
61042555340313325420
733031405234631253
oct3176473351636524
9488476741381223
10114254110211412
113344a994685746
1210993266406870
134b9a168857b22
14202dcdd8d479a
15d3202927c40c
hex67e9dba73d54

114254110211412 has 144 divisors (see below), whose sum is σ = 288883274758848. Its totient is φ = 35130185502720.

The previous prime is 114254110211377. The next prime is 114254110211413. The reversal of 114254110211412 is 214112011452411.

It is a self number, because there is not a number n which added to its sum of digits gives 114254110211412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254110211413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44526112 + ... + 47022152.

It is an arithmetic number, because the mean of its divisors is an integer number (2006133852492).

Almost surely, 2114254110211412 is an apocalyptic number.

114254110211412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114254110211412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144441637379424).

114254110211412 is an abundant number, since it is smaller than the sum of its proper divisors (174629164547436).

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

114254110211412 is a wasteful number, since it uses less digits than its factorization.

114254110211412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496346 (or 2496327 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

Adding to 114254110211412 its reverse (214112011452411), we get a palindrome (328366121663823).

The spelling of 114254110211412 in words is "one hundred fourteen trillion, two hundred fifty-four billion, one hundred ten million, two hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 197 201 204 268 289 394 402 578 591 788 804 867 1139 1156 1182 1734 2278 2364 3349 3417 3468 4556 6698 6834 10047 13199 13396 13668 19363 20094 26398 38726 39597 40188 52796 56933 58089 77452 79194 113866 116178 158388 170799 224383 227732 232356 341598 448766 673149 683196 897532 1346298 2496041 2692596 3814511 4992082 7488123 7629022 9984164 11443533 14976246 15258044 22887066 29952492 42432697 45774132 84865394 127298091 167234747 169730788 254596182 334469494 491720077 501704241 509192364 668938988 721355849 983440154 1003408482 1442711698 1475160231 1966880308 2006816964 2164067547 2842990699 2885423396 2950320462 4328135094 5685981398 5900640924 8359241309 8528972097 8656270188 11371962796 16718482618 17057944194 25077723927 32945245159 33436965236 34115888388 48330841883 50155447854 65890490318 96661683766 98835735477 100310895708 131780980636 142107102253 144992525649 193323367532 197671470954 284214204506 289985051298 395342941908 426321306759 560069167703 568428409012 579970102596 852642613518 1120138335406 1680207503109 1705285227036 2240276670812 3360415006218 6720830012436 9521175850951 19042351701902 28563527552853 38084703403804 57127055105706 114254110211412