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14240050007040 = 210335111319311223
BaseRepresentation
bin1100111100111000010100…
…0111110100110000000000
31212102100001120100210112000
43033032011013310300000
53331302110300211130
650141442203504000
72666544466632354
oct317160507646000
955370046323460
1014240050007040
1145a0197a9a960
12171b997b28000
137c3aa57b4030
14373317617464
1519a63a436260
hexcf3851f4c00

14240050007040 has 2816 divisors, whose sum is σ = 64654648934400. Its totient is φ = 2919097958400.

The previous prime is 14240050007039. The next prime is 14240050007041. The reversal of 14240050007040 is 4070005004241.

14240050007040 is a `hidden beast` number, since 14 + 2 + 40 + 0 + 500 + 0 + 70 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (14240050007039) and next prime (14240050007041).

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a junction number, because it is equal to n+sod(n) for n = 14240050006995 and 14240050007013.

It is not an unprimeable number, because it can be changed into a prime (14240050007041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11643539869 + ... + 11643541091.

Almost surely, 214240050007040 is an apocalyptic number.

14240050007040 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 14240050007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32327324467200).

14240050007040 is an abundant number, since it is smaller than the sum of its proper divisors (50414598927360).

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

14240050007040 is a wasteful number, since it uses less digits than its factorization.

14240050007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 14240050007040 in words is "fourteen trillion, two hundred forty billion, fifty million, seven thousand, forty".