Search a number
-
+
14396099271840 = 2535511213219953
BaseRepresentation
bin1101000101111101101001…
…1000100001110010100000
31212222020211220120210200000
43101133122120201302200
53341331202403144330
650341250545100000
73014040521535216
oct321373230416240
955866756523600
1014396099271840
114650395808200
121746088627600
138057143bab00
1437aabc55ccb6
1519e720130560
hexd17da621ca0

14396099271840 has 2592 divisors, whose sum is σ = 63896090207040. Its totient is φ = 3048749383680.

The previous prime is 14396099271817. The next prime is 14396099271899. The reversal of 14396099271840 is 4817299069341.

14396099271840 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 609 + 9 + 2 + 7 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 15106084804 + ... + 15106085756.

It is an arithmetic number, because the mean of its divisors is an integer number (24651269370).

Almost surely, 214396099271840 is an apocalyptic number.

14396099271840 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 14396099271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31948045103520).

14396099271840 is an abundant number, since it is smaller than the sum of its proper divisors (49499990935200).

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

14396099271840 is a wasteful number, since it uses less digits than its factorization.

14396099271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 14396099271840 in words is "fourteen trillion, three hundred ninety-six billion, ninety-nine million, two hundred seventy-one thousand, eight hundred forty".