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2014241411040 = 253510334062281
BaseRepresentation
bin11101010011111010001…
…001001100111111100000
321010120002221120111020020
4131103322021030333200
5231000131300123130
64141155115513440
7265344531333615
oct35237211147740
97116087514206
102014241411040
11707264846781
12286459458880
13117c32b99401
146d6c004850c
15375dd3e9e10
hex1d4fa24cfe0

2014241411040 has 96 divisors (see below), whose sum is σ = 6351004177056. Its totient is φ = 536610938880.

The previous prime is 2014241411009. The next prime is 2014241411041. The reversal of 2014241411040 is 401141424102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2014241411040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014241411041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535301 + ... + 2526980.

It is an arithmetic number, because the mean of its divisors is an integer number (66156293511).

Almost surely, 22014241411040 is an apocalyptic number.

2014241411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014241411040 is an abundant number, since it is smaller than the sum of its proper divisors (4336762766016).

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

2014241411040 is a wasteful number, since it uses less digits than its factorization.

2014241411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063332 (or 4063324 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2014241411040 its reverse (401141424102), we get a palindrome (2415382835142).

The spelling of 2014241411040 in words is "two trillion, fourteen billion, two hundred forty-one million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1033 2066 3099 4132 5165 6198 8264 10330 12396 15495 16528 20660 24792 30990 33056 41320 49584 61980 82640 99168 123960 165280 247920 495840 4062281 8124562 12186843 16249124 20311405 24373686 32498248 40622810 48747372 60934215 64996496 81245620 97494744 121868430 129992992 162491240 194989488 243736860 324982480 389978976 487473720 649964960 974947440 1949894880 4196336273 8392672546 12589008819 16785345092 20981681365 25178017638 33570690184 41963362730 50356035276 62945044095 67141380368 83926725460 100712070552 125890088190 134282760736 167853450920 201424141104 251780176380 335706901840 402848282208 503560352760 671413803680 1007120705520 2014241411040