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114234241440 = 25351121966843
BaseRepresentation
bin110101001100011100…
…1000011000110100000
3101220212011212201200010
41222120321003012200
53332422431211230
6124251204124520
711152555013454
oct1523071030640
9356764781603
10114234241440
11444a0284400
121a180996740
13aa06804307
1457596b0664
152e88bdc9b0
hex1a98e431a0

114234241440 has 144 divisors (see below), whose sum is σ = 395524461024. Its totient is φ = 27693135360.

The previous prime is 114234241439. The next prime is 114234241453. The reversal of 114234241440 is 44142432411.

It is a happy number.

114234241440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114234241398 and 114234241407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925342 + ... + 1041501.

It is an arithmetic number, because the mean of its divisors is an integer number (2746697646).

Almost surely, 2114234241440 is an apocalyptic number.

114234241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114234241440 is an abundant number, since it is smaller than the sum of its proper divisors (281290219584).

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

114234241440 is a wasteful number, since it uses less digits than its factorization.

114234241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966883 (or 1966864 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 114234241440 its reverse (44142432411), we get a palindrome (158376673851).

The spelling of 114234241440 in words is "one hundred fourteen billion, two hundred thirty-four million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 1966843 3933686 5900529 7867372 9834215 11801058 15734744 19668430 21635273 23602116 29502645 31469488 39336860 43270546 47204232 59005290 62938976 64905819 78673720 86541092 94408464 108176365 118010580 129811638 157347440 173082184 188816928 216352730 236021160 237988003 259623276 314694880 324529095 346164368 432705460 472042320 475976006 519246552 649058190 692328736 713964009 865410920 944084640 951952012 1038493104 1189940015 1298116380 1427928018 1730821840 1903904024 2076986208 2379880030 2596232760 2855856036 3461643680 3569820045 3807808048 4759760060 5192465520 5711712072 7139640090 7615616096 9519520120 10384931040 11423424144 14279280180 19039040240 22846848288 28558560360 38078080480 57117120720 114234241440