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14002221130040 = 235111337107618323
BaseRepresentation
bin1100101111000010010101…
…1010101010000100111000
31211120121011212101001101002
43023300211122222010320
53313403022102130130
645440310453344132
72643425043553253
oct313604532520470
954517155331332
1014002221130040
114509343877550
1216a1883638048
137a7533173190
143659d544a09a
1519436ade0b45
hexcbc256aa138

14002221130040 has 256 divisors, whose sum is σ = 38368537643520. Its totient is φ = 4530272163840.

The previous prime is 14002221130033. The next prime is 14002221130043. The reversal of 14002221130040 is 4003112220041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14002221129994 and 14002221130021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002221130043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22336319 + ... + 22954641.

It is an arithmetic number, because the mean of its divisors is an integer number (149877100170).

Almost surely, 214002221130040 is an apocalyptic number.

14002221130040 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 14002221130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184268821760).

14002221130040 is an abundant number, since it is smaller than the sum of its proper divisors (24366316513480).

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

14002221130040 is a wasteful number, since it uses less digits than its factorization.

14002221130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618502 (or 618498 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14002221130040 its reverse (4003112220041), we get a palindrome (18005333350081).

The spelling of 14002221130040 in words is "fourteen trillion, two billion, two hundred twenty-one million, one hundred thirty thousand, forty".