Search a number
-
+
14006666234880 = 210325112332509
BaseRepresentation
bin1100101111010010111001…
…0111011000110000000000
31211121000122122121202212200
43023310232113120300000
53313441123024004010
645442323523353200
72643643150410504
oct313645627306000
954530578552780
1014006666234880
114510214a33610
1216a2704222800
137a7a91069427
14365cd7946304
1519452b288cc0
hexcbd2e5d8c00

14006666234880 has 792 divisors, whose sum is σ = 53277472226160. Its totient is φ = 3374339850240.

The previous prime is 14006666234863. The next prime is 14006666234909. The reversal of 14006666234880 is 8843266660041.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×140066662348802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27518008066 + ... + 27518008574.

Almost surely, 214006666234880 is an apocalyptic number.

14006666234880 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 14006666234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26638736113080).

14006666234880 is an abundant number, since it is smaller than the sum of its proper divisors (39270805991280).

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

14006666234880 is a wasteful number, since it uses less digits than its factorization.

14006666234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 14006666234880 in words is "fourteen trillion, six billion, six hundred sixty-six million, two hundred thirty-four thousand, eight hundred eighty".