Search a number
-
+
13041308160 = 2932519313
BaseRepresentation
bin11000010010101001…
…01001001000000000
31020122212112002121100
430021110221020000
5203202033330120
65554024254400
7641114201406
oct141124511000
936585462540
1013041308160
115592529931
12263b611400
1312cab05aba
148ba03d476
15514db1490
hex309529200

13041308160 has 480 divisors, whose sum is σ = 49127569920. Its totient is φ = 3188367360.

The previous prime is 13041308113. The next prime is 13041308171. The reversal of 13041308160 is 6180314031.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420687345 + ... + 420687375.

It is an arithmetic number, because the mean of its divisors is an integer number (102349104).

Almost surely, 213041308160 is an apocalyptic number.

13041308160 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 13041308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24563784960).

13041308160 is an abundant number, since it is smaller than the sum of its proper divisors (36086261760).

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

13041308160 is an frugal number, since it uses more digits than its factorization.

13041308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 13041 and 308160, that added together give a triangular number (321201 = T801).

The spelling of 13041308160 in words is "thirteen billion, forty-one million, three hundred eight thousand, one hundred sixty".