Search a number
-
+
9413691040 = 2551335312821
BaseRepresentation
bin10001100010001100…
…11000011010100000
3220022001112001102201
420301012120122200
5123234401103130
64154040022544
7452165024245
oct106106303240
926261461381
109413691040
113aa0868456
1219a8761a54
13b703a64b0
146543415cc
153a1696bca
hex2311986a0

9413691040 has 96 divisors (see below), whose sum is σ = 24020324496. Its totient is φ = 3465707520.

The previous prime is 9413691011. The next prime is 9413691041. The reversal of 9413691040 is 401963149.

It can be written as a sum of positive squares in 8 ways, for example, as 365115664 + 9048575376 = 19108^2 + 95124^2 .

It is not an unprimeable number, because it can be changed into a prime (9413691041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 727830 + ... + 740650.

Almost surely, 29413691040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9413691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010162248).

9413691040 is an abundant number, since it is smaller than the sum of its proper divisors (14606633456).

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

9413691040 is a wasteful number, since it uses less digits than its factorization.

9413691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13202 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 9413691040 is about 97024.1776053783. The cubic root of 9413691040 is about 2111.4784185106.

The spelling of 9413691040 in words is "nine billion, four hundred thirteen million, six hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 353 416 520 706 1040 1412 1765 2080 2824 3530 4589 5648 7060 9178 11296 12821 14120 18356 22945 25642 28240 36712 45890 51284 56480 64105 73424 91780 102568 128210 146848 166673 183560 205136 256420 333346 367120 410272 512840 666692 734240 833365 1025680 1333384 1666730 2051360 2666768 3333460 4525813 5333536 6666920 9051626 13333840 18103252 22629065 26667680 36206504 45258130 58835569 72413008 90516260 117671138 144826016 181032520 235342276 294177845 362065040 470684552 588355690 724130080 941369104 1176711380 1882738208 2353422760 4706845520 9413691040