Search a number
-
+
2321540451232 = 252918771332797
BaseRepresentation
bin100001110010000110100…
…110000000101110100000
322012221022010221011210021
4201302012212000232200
5301014003323414412
64534300112443224
7326503636146652
oct41620646005640
98187263834707
102321540451232
118156180759a2
12315b1b249514
1313abc6c53bc2
148051270a6d2
15405c6792607
hex21c86980ba0

2321540451232 has 48 divisors (see below), whose sum is σ = 4730659877160. Its totient is φ = 1120145732608.

The previous prime is 2321540451199. The next prime is 2321540451281.

2321540451232 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2215918051216 + 105622400016 = 1488596^2 + 324996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075458 + ... + 2408254.

Almost surely, 22321540451232 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 2321540451232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365329938580).

2321540451232 is an abundant number, since it is smaller than the sum of its proper divisors (2409119425928).

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

2321540451232 is a wasteful number, since it uses less digits than its factorization.

2321540451232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334713 (or 1334705 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 2321540 and 451232, that added together give a palindrome (2772772).

The spelling of 2321540451232 in words is "two trillion, three hundred twenty-one billion, five hundred forty million, four hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1877 3754 7508 15016 30032 54433 60064 108866 217732 435464 870928 1332797 1741856 2665594 5331188 10662376 21324752 38651113 42649504 77302226 154604452 309208904 618417808 1236835616 2501659969 5003319938 10006639876 20013279752 40026559504 72548139101 80053119008 145096278202 290192556404 580385112808 1160770225616 2321540451232