Search a number
-
+
13913043464448 = 283243748718757
BaseRepresentation
bin1100101001110110001000…
…0000110111000100000000
31211021001222220212020222200
43022131202000313010000
53310422403111330243
645331321450433200
72634120121114152
oct312354200670400
954231886766880
1013913043464448
114484541361477
121688536132800
1379bcc082390b
1436157584cad2
15191d9bd4dad3
hexca762037100

13913043464448 has 216 divisors, whose sum is σ = 41055306259968. Its totient is φ = 4528981610496.

The previous prime is 13913043464431. The next prime is 13913043464449. The reversal of 13913043464448 is 84446434031931.

13913043464448 is a `hidden beast` number, since 1 + 3 + 9 + 130 + 4 + 3 + 4 + 64 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13913043464394 and 13913043464403.

It is not an unprimeable number, because it can be changed into a prime (13913043464449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741742686 + ... + 741761442.

Almost surely, 213913043464448 is an apocalyptic number.

13913043464448 is a gapful number since it is divisible by the number (18) 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 13913043464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527653129984).

13913043464448 is an abundant number, since it is smaller than the sum of its proper divisors (27142262795520).

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

13913043464448 is a wasteful number, since it uses less digits than its factorization.

13913043464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26309 (or 26292 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 13913043464448 in words is "thirteen trillion, nine hundred thirteen billion, forty-three million, four hundred sixty-four thousand, four hundred forty-eight".