Search a number
-
+
132331443104 = 257299784649
BaseRepresentation
bin111101100111110010…
…0011001001110100000
3110122120101221211022102
41323033210121032200
54132003322134404
6140443042025532
712363203464400
oct1731744311640
9418511854272
10132331443104
1151137716913
12217916482a8
13c62bc08773
146594da0800
15369789671e
hex1ecf9193a0

132331443104 has 72 divisors (see below), whose sum is σ = 303370193700. Its totient is φ = 56655922176.

The previous prime is 132331443077. The next prime is 132331443173. The reversal of 132331443104 is 401344133231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 132312607504 + 18835600 = 363748^2 + 4340^2 .

It is a super-3 number, since 3×1323314431043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 1520972 + ... + 1605620.

Almost surely, 2132331443104 is an apocalyptic number.

132331443104 is a gapful number since it is divisible by the number (14) 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 132331443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151685096850).

132331443104 is an abundant number, since it is smaller than the sum of its proper divisors (171038750596).

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

132331443104 is an equidigital number, since it uses as much as digits as its factorization.

132331443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85670 (or 85655 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132331443104 its reverse (401344133231), we get a palindrome (533675576335).

The spelling of 132331443104 in words is "one hundred thirty-two billion, three hundred thirty-one million, four hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 997 1568 1994 3988 6979 7976 13958 15952 27916 31904 48853 55832 84649 97706 111664 169298 195412 223328 338596 390824 592543 677192 781648 1185086 1354384 1563296 2370172 2708768 4147801 4740344 8295602 9480688 16591204 18961376 33182408 66364816 84395053 132729632 168790106 337580212 590765371 675160424 1181530742 1350320848 2363061484 2700641696 4135357597 4726122968 8270715194 9452245936 16541430388 18904491872 33082860776 66165721552 132331443104