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332130322311444 = 22341025093587381
BaseRepresentation
bin100101110000100100001110…
…1111000010110100100010100
31121112222100102012220120010000
41023201020131320112210110
5322013110400002431234
63134214321431531300
7126646424002065246
oct11341103570264424
91545870365816100
10332130322311444
1196910751363888
12313010b8b29b30
13113429a7990287
145c0329c87c096
15285e7128e3899
hex12e121de16914

332130322311444 has 30 divisors (see below), whose sum is σ = 868254268512554. Its totient is φ = 110710107437040.

The previous prime is 332130322311443. The next prime is 332130322311511. The reversal of 332130322311444 is 444113223031233.

332130322311444 is a `hidden beast` number, since 3 + 3 + 2 + 13 + 0 + 322 + 311 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316110620250000 + 16019702061444 = 17779500^2 + 4002462^2 .

It is a super-2 number, since 2×3321303223114442 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 332130322311399 and 332130322311408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332130322311443) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 512546793367 + ... + 512546794014.

Almost surely, 2332130322311444 is an apocalyptic number.

It is an amenable number.

332130322311444 is an abundant number, since it is smaller than the sum of its proper divisors (536123946201110).

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

332130322311444 is a wasteful number, since it uses less digits than its factorization.

332130322311444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025093587397 (or 1025093587386 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 332130322311444 its reverse (444113223031233), we get a palindrome (776243545342677).

The spelling of 332130322311444 in words is "three hundred thirty-two trillion, one hundred thirty billion, three hundred twenty-two million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1025093587381 2050187174762 3075280762143 4100374349524 6150561524286 9225842286429 12301123048572 18451684572858 27677526859287 36903369145716 55355053718574 83032580577861 110710107437148 166065161155722 332130322311444