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114314001334302 = 2371110392381100019
BaseRepresentation
bin11001111111011111001101…
…011100010100000000011110
3112222202022102022010222200110
4121333133031130110000132
5104440410033320144202
61043043043252110450
733035625343032060
oct3177371534240036
9488668368128613
10114314001334302
1133473328658820
12109a299b905426
134ba29c1883a93
142032b81b25730
15d3388217526c
hex67f7cd71401e

114314001334302 has 128 divisors (see below), whose sum is σ = 285439732531200. Its totient is φ = 29650616150400.

The previous prime is 114314001334249. The next prime is 114314001334319. The reversal of 114314001334302 is 203433100413411.

It is a self number, because there is not a number n which added to its sum of digits gives 114314001334302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1142872849 + ... + 1142972867.

It is an arithmetic number, because the mean of its divisors is an integer number (2229997910400).

Almost surely, 2114314001334302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114314001334302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142719866265600).

114314001334302 is an abundant number, since it is smaller than the sum of its proper divisors (171125731196898).

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

114314001334302 is a wasteful number, since it uses less digits than its factorization.

114314001334302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103462.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 114314001334302 its reverse (203433100413411), we get a palindrome (317747101747713).

The spelling of 114314001334302 in words is "one hundred fourteen trillion, three hundred fourteen billion, one million, three hundred thirty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1039 2078 2381 3117 4762 6234 7143 7273 11429 14286 14546 16667 21819 22858 26191 33334 34287 43638 50001 52382 68574 78573 80003 100002 100019 157146 160006 183337 200038 240009 300057 366674 480018 550011 600114 700133 1100022 1100209 1400266 2100399 2200418 2473859 3300627 4200798 4947718 6601254 7421577 7701463 14843154 15402926 17317013 23104389 27212449 34634026 46208778 51951039 54424898 81637347 103902078 103919741 163274694 190487143 207839482 238145239 311759223 380974286 476290478 571461429 623518446 714435717 727438187 1142922858 1143117151 1428871434 1454876374 1667016673 2182314561 2286234302 2619597629 3334033346 3429351453 4364629122 5001050019 5239195258 6858702906 7858792887 8001820057 10002100038 15717585774 16003640114 18337183403 24005460171 36674366806 48010920342 55011550209 110023100418 247432903321 494865806642 742298709963 1484597419926 1732030323247 2721761936531 3464060646494 5196090969741 5443523873062 8165285809593 10392181939482 16330571619186 19052333555717 38104667111434 57157000667151 114314001334302