Search a number
-
+
13943508480 = 29345116113
BaseRepresentation
bin11001111110001100…
…10000111000000000
31022222202011121210000
430333012100320000
5212024014232410
610223333440000
71002350603136
oct147706207000
938882147700
1013943508480
115a05824330
1228517a0000
1314129bcb45
14963bad756
155691c4dc0
hex33f190e00

13943508480 has 400 divisors, whose sum is σ = 54490266864. Its totient is φ = 3379691520.

The previous prime is 13943508479. The next prime is 13943508487. The reversal of 13943508480 is 8480534931.

13943508480 is a `hidden beast` number, since 13 + 94 + 3 + 508 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13943508487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2277904 + ... + 2284016.

Almost surely, 213943508480 is an apocalyptic number.

13943508480 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 13943508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27245133432).

13943508480 is an abundant number, since it is smaller than the sum of its proper divisors (40546758384).

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

13943508480 is an equidigital number, since it uses as much as digits as its factorization.

13943508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13943508480 in words is "thirteen billion, nine hundred forty-three million, five hundred eight thousand, four hundred eighty".