Search a number
-
+
14315959317456 = 243217195323832437
BaseRepresentation
bin1101000001010011000110…
…1010110111001111010000
31212200120222211010022100100
43100110301222313033100
53334023041041124311
650240354431452400
73005202550263306
oct320246152671720
955616884108310
1014315959317456
11461a400900345
121732641987100
137cacb2293664
14376c78d92276
1519c5ce718a56
hexd0531ab73d0

14315959317456 has 480 divisors, whose sum is σ = 45534572029440. Its totient is φ = 4171152900096.

The previous prime is 14315959317427. The next prime is 14315959317521. The reversal of 14315959317456 is 65471395951341.

14315959317456 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 5 + 95 + 93 + 1 + 7 + 456 = 666.

It is a super-2 number, since 2×143159593174562 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14315959317393 and 14315959317402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5874417870 + ... + 5874420306.

It is an arithmetic number, because the mean of its divisors is an integer number (94863691728).

Almost surely, 214315959317456 is an apocalyptic number.

14315959317456 is a gapful number since it is divisible by the number (16) 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 14315959317456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22767286014720).

14315959317456 is an abundant number, since it is smaller than the sum of its proper divisors (31218612711984).

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

14315959317456 is a wasteful number, since it uses less digits than its factorization.

14315959317456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4914 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The spelling of 14315959317456 in words is "fourteen trillion, three hundred fifteen billion, nine hundred fifty-nine million, three hundred seventeen thousand, four hundred fifty-six".