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114226619538052 = 227192329211100227
BaseRepresentation
bin11001111110001101110101…
…000101001101101010000100
3112222102221212111212210220101
4121332031311011031222010
5104432442104100204202
61042534552401013444
733026413055024440
oct3176156505155204
9488387774783811
10114226619538052
113343a26793598a
1210989a73924284
134b976a73093b8
14202c852847820
15d3146aac2887
hex67e37514da84

114226619538052 has 144 divisors (see below), whose sum is σ = 259883866045440. Its totient is φ = 42831598449024.

The previous prime is 114226619538043. The next prime is 114226619538077. The reversal of 114226619538052 is 250835916622411.

It is a super-2 number, since 2×1142266195380522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114226619537984 and 114226619538002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4740363 + ... + 15840589.

It is an arithmetic number, because the mean of its divisors is an integer number (1804749069760).

Almost surely, 2114226619538052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114226619538052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129941933022720).

114226619538052 is an abundant number, since it is smaller than the sum of its proper divisors (145657246507388).

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

114226619538052 is a wasteful number, since it uses less digits than its factorization.

114226619538052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100338 (or 11100307 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 114226619538052 in words is "one hundred fourteen trillion, two hundred twenty-six billion, six hundred nineteen million, five hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 4 7 14 19 23 28 29 38 46 58 76 92 116 133 161 203 266 322 406 437 532 551 644 667 812 841 874 1102 1334 1682 1748 2204 2668 3059 3364 3857 4669 5887 6118 7714 9338 11774 12236 12673 15428 15979 18676 19343 23548 25346 31958 38686 50692 63916 77372 88711 111853 135401 177422 223706 270802 354844 367517 447412 541604 735034 1470068 2572619 5145238 10290476 11100227 22200454 44400908 77701589 155403178 210904313 255305221 310806356 321906583 421808626 510610442 643813166 843617252 1021220884 1287626332 1476330191 1787136547 2253346081 2952660382 3574273094 4506692162 4850799199 5905320764 6116225077 7148546188 7403851409 9013384324 9335290907 9701598398 12232450154 14807702818 18670581814 19403196796 24464900308 29615405636 33955594393 37341163628 42813575539 51826959863 65347036349 67911188786 85627151078 103653919726 130694072698 135822377572 140673176771 171254302156 177370527233 207307839452 214711690861 261388145396 281346353542 354741054466 429423381722 562692707084 709482108932 858846763444 984712237397 1241593690631 1502981836027 1969424474794 2483187381262 3005963672054 3938848949588 4079522126359 4966374762524 6011927344108 8159044252718 16318088505436 28556654884513 57113309769026 114226619538052