Search a number
-
+
14209664422080 = 2635314567104549
BaseRepresentation
bin1100111011000111001000…
…0000000001000011000000
31212022102121221112011000110
43032301302000001003000
53330302343043001310
650115455115151320
72664420505500201
oct316616200010300
955272557464013
1014209664422080
114589315137176
121715b17a45540
137c0c7258696a
14371a73cbb5a8
1519995ca44d20
hexcec720010c0

14209664422080 has 224 divisors, whose sum is σ = 46581672038400. Its totient is φ = 3666172170240.

The previous prime is 14209664422073. The next prime is 14209664422081. The reversal of 14209664422080 is 8022446690241.

It is a super-2 number, since 2×142096644220802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14209664422081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135861646 + ... + 135966194.

Almost surely, 214209664422080 is an apocalyptic number.

14209664422080 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 14209664422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23290836019200).

14209664422080 is an abundant number, since it is smaller than the sum of its proper divisors (32372007616320).

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

14209664422080 is a wasteful number, since it uses less digits than its factorization.

14209664422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109167 (or 109157 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 14209664422080 in words is "fourteen trillion, two hundred nine billion, six hundred sixty-four million, four hundred twenty-two thousand, eighty".