Search a number
-
+
14142082275216 = 243472149232
BaseRepresentation
bin1100110111001011010111…
…0010100101011110010000
31212001222012000210101010000
43031302311302211132100
53323200441030301331
650024441035210000
72656505660642100
oct315626562453620
955058160711100
1014142082275216
114562694840a35
1217049b68a6900
137b779203914c
1436c6a2451200
15197d048350e6
hexcdcb5ca5790

14142082275216 has 225 divisors, whose sum is σ = 47617139347371. Its totient is φ = 4040324172864.

The previous prime is 14142082275149. The next prime is 14142082275263. The reversal of 14142082275216 is 61257228024141.

The square root of 14142082275216 is 3760596.

It is a perfect power (a square), and thus also a powerful number.

14142082275216 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 20 + 82 + 27 + 521 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 947662731 + ... + 947677653.

Almost surely, 214142082275216 is an apocalyptic number.

14142082275216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14142082275216 is the 3760596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14142082275216

14142082275216 is an abundant number, since it is smaller than the sum of its proper divisors (33475057072155).

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

14142082275216 is an frugal number, since it uses more digits than its factorization.

14142082275216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29880 (or 14935 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14142082275216 in words is "fourteen trillion, one hundred forty-two billion, eighty-two million, two hundred seventy-five thousand, two hundred sixteen".