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114112034332044 = 223753113226828619
BaseRepresentation
bin11001111100100011000111…
…010001010101110110001100
3112222001000002212121020100120
4121330203013101111312030
5104424102421242111134
61042410202254224540
733015215405605440
oct3174430721256614
9488030085536316
10114112034332044
11333a5707538721
121096b8154b5150
134b89945ba1b58
1420270a26d8820
15d2d4b11aa649
hex67c8c7455d8c

114112034332044 has 96 divisors (see below), whose sum is σ = 312783964577280. Its totient is φ = 31705196909568.

The previous prime is 114112034331917. The next prime is 114112034332129. The reversal of 114112034332044 is 440233430211411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114112034331996 and 114112034332014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112911234 + ... + 113917385.

It is an arithmetic number, because the mean of its divisors is an integer number (3258166297680).

Almost surely, 2114112034332044 is an apocalyptic number.

114112034332044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114112034332044 is an abundant number, since it is smaller than the sum of its proper divisors (198671930245236).

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

114112034332044 is a wasteful number, since it uses less digits than its factorization.

114112034332044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226828799 (or 226828797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 114112034332044 its reverse (440233430211411), we get a palindrome (554345464543455).

The spelling of 114112034332044 in words is "one hundred fourteen trillion, one hundred twelve billion, thirty-four million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 113 159 212 226 318 339 371 452 636 678 742 791 1113 1356 1484 1582 2226 2373 3164 4452 4746 5989 9492 11978 17967 23956 35934 41923 71868 83846 125769 167692 251538 503076 226828619 453657238 680485857 907314476 1360971714 1587800333 2721943428 3175600666 4763400999 6351201332 9526801998 12021916807 19053603996 24043833614 25631633947 36065750421 48087667228 51263267894 72131500842 76894901841 84153417649 102526535788 144263001684 153789803682 168306835298 179421437629 252460252947 307579607364 336613670596 358842875258 504920505894 538264312887 717685750516 1009841011788 1076528625774 1358476599191 2153057251548 2716953198382 4075429797573 5433906396764 8150859595146 9509336194337 16301719190292 19018672388674 28528008583011 38037344777348 57056017166022 114112034332044