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14115114140022 = 2337217260130713
BaseRepresentation
bin1100110101100110111001…
…0111010100000101110110
31211222101120120111011101000
43031121232113110011312
53322230223204440042
650004221030344130
72654532454402200
oct315315627240566
954871516434330
1014115114140022
114552205a518a5
1216bb72b1bb046
137b5084b342bc
1436b264945770
15197276e9674c
hexcd66e5d4176

14115114140022 has 288 divisors, whose sum is σ = 38826420020640. Its totient is φ = 3789221990400.

The previous prime is 14115114139993. The next prime is 14115114140063. The reversal of 14115114140022 is 22004141151141.

14115114140022 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 511 + 4 + 140 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 459565738 + ... + 459596450.

It is an arithmetic number, because the mean of its divisors is an integer number (134813958405).

Almost surely, 214115114140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14115114140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413210010320).

14115114140022 is an abundant number, since it is smaller than the sum of its proper divisors (24711305880618).

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

14115114140022 is a wasteful number, since it uses less digits than its factorization.

14115114140022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31373 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 14115114140022 its reverse (22004141151141), we get a palindrome (36119255291163).

The spelling of 14115114140022 in words is "fourteen trillion, one hundred fifteen billion, one hundred fourteen million, one hundred forty thousand, twenty-two".