Search a number
-
+
14328023548032 = 273319534117021
BaseRepresentation
bin1101000010000000000011…
…0000010000000010000000
31212201202010121002201111000
43100200000300100002000
53334222243012014112
650250111514052000
73006110531454225
oct320400060200200
955652117081430
1014328023548032
114624531842337
121734a4a11a000
137cc18582692c
143776a132d94c
1519ca889257dc
hexd0800c10080

14328023548032 has 256 divisors, whose sum is σ = 45353114352000. Its totient is φ = 4439267389440.

The previous prime is 14328023548019. The next prime is 14328023548043. The reversal of 14328023548032 is 23084532082341.

14328023548032 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 80 + 23 + 548 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×143280235480322 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1421682 + ... + 5538702.

Almost surely, 214328023548032 is an apocalyptic number.

14328023548032 is a gapful number since it is divisible by the number (12) 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 14328023548032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22676557176000).

14328023548032 is an abundant number, since it is smaller than the sum of its proper divisors (31025090803968).

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

14328023548032 is a wasteful number, since it uses less digits than its factorization.

14328023548032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117116 (or 4117098 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 14328023548032 in words is "fourteen trillion, three hundred twenty-eight billion, twenty-three million, five hundred forty-eight thousand, thirty-two".