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14075270640 = 2433529376073
BaseRepresentation
bin11010001101111001…
…11001010111110000
31100022221002211111000
431012330321113300
5212311232130030
610244401522000
71005540553314
oct150674712760
940287084430
1014075270640
115a7313a182
122889943300
1314340a4712
149774abb44
15575a50860
hex346f395f0

14075270640 has 320 divisors, whose sum is σ = 51517238400. Its totient is φ = 3525451776.

The previous prime is 14075270593. The next prime is 14075270641. The reversal of 14075270640 is 4607257041.

14075270640 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 5 + 2 + 7 + 0 + 640 = 666.

It is a super-2 number, since 2×140752706402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14075270595 and 14075270604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14075270641) 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 63 ways as a sum of consecutive naturals, for example, 2314644 + ... + 2320716.

It is an arithmetic number, because the mean of its divisors is an integer number (160991370).

Almost surely, 214075270640 is an apocalyptic number.

14075270640 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 14075270640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758619200).

14075270640 is an abundant number, since it is smaller than the sum of its proper divisors (37441967760).

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

14075270640 is a wasteful number, since it uses less digits than its factorization.

14075270640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6161 (or 6149 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14075270640 in words is "fourteen billion, seventy-five million, two hundred seventy thousand, six hundred forty".