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14012004013020 = 223251361127772949
BaseRepresentation
bin1100101111100110110010…
…0001011001001111011100
31211121112102122120222221100
43023321230201121033130
53314033041011404040
645445005322433100
72644222343650056
oct313715441311734
954545378528840
1014012004013020
114512503a78302
1216a3753962790
137a8431b92230
143662828128d6
1519473ebb2b30
hexcbe6c8593dc

14012004013020 has 288 divisors, whose sum is σ = 46889298892800. Its totient is φ = 3365848442880.

The previous prime is 14012004013003. The next prime is 14012004013027. The reversal of 14012004013020 is 2031040021041.

14012004013020 is a `hidden beast` number, since 1 + 40 + 1 + 200 + 401 + 3 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14012004012984 and 14012004013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012004013027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17741506 + ... + 18514454.

It is an arithmetic number, because the mean of its divisors is an integer number (162810065600).

Almost surely, 214012004013020 is an apocalyptic number.

14012004013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012004013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444649446400).

14012004013020 is an abundant number, since it is smaller than the sum of its proper divisors (32877294879780).

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

14012004013020 is a wasteful number, since it uses less digits than its factorization.

14012004013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773165 (or 773160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14012004013020 its reverse (2031040021041), we get a palindrome (16043044034061).

The spelling of 14012004013020 in words is "fourteen trillion, twelve billion, four million, thirteen thousand, twenty".