Search a number
-
+
132410414004 = 223111003109197
BaseRepresentation
bin111101101010001000…
…1101001001110110100
3110122202220112222000120
41323110101221032310
54132134031222004
6140454542411540
712365152643301
oct1732421511664
9418686488016
10132410414004
1151178254920
12217b3b90bb0
13c6423985cb
1465a167a0a8
15369e7953d9
hex1ed44693b4

132410414004 has 24 divisors (see below), whose sum is σ = 337044690528. Its totient is φ = 40124367840.

The previous prime is 132410413999. The next prime is 132410414093. The reversal of 132410414004 is 400414014231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501554467 + ... + 501554730.

It is an arithmetic number, because the mean of its divisors is an integer number (14043528772).

Almost surely, 2132410414004 is an apocalyptic number.

It is an amenable number.

132410414004 is an abundant number, since it is smaller than the sum of its proper divisors (204634276524).

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

132410414004 is a wasteful number, since it uses less digits than its factorization.

132410414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003109215 (or 1003109213 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 132410414004 its reverse (400414014231), we get a palindrome (532824428235).

The spelling of 132410414004 in words is "one hundred thirty-two billion, four hundred ten million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1003109197 2006218394 3009327591 4012436788 6018655182 11034201167 12037310364 22068402334 33102603501 44136804668 66205207002 132410414004