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321440212404 = 2238195312163
BaseRepresentation
bin1001010110101110101…
…01000110010110110100
31010201200201110200000000
410223113111012112310
520231302143244104
6403400111151300
732136405503253
oct4532725062664
91121621420000
10321440212404
1111435a690203
1252369815530
13244089c441c
14117b480679a
158564ab4639
hex4ad75465b4

321440212404 has 216 divisors, whose sum is σ = 904976785440. Its totient is φ = 99584012736.

The previous prime is 321440212403. The next prime is 321440212417. The reversal of 321440212404 is 404212044123.

321440212404 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 40 + 212 + 404 = 666.

It is a super-3 number, since 3×3214402124043 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321440212403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26421627 + ... + 26433789.

It is an arithmetic number, because the mean of its divisors is an integer number (4189707340).

Almost surely, 2321440212404 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 321440212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452488392720).

321440212404 is an abundant number, since it is smaller than the sum of its proper divisors (583536573036).

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

321440212404 is a wasteful number, since it uses less digits than its factorization.

321440212404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12263 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 321440212404 its reverse (404212044123), we get a palindrome (725652256527).

The spelling of 321440212404 in words is "three hundred twenty-one billion, four hundred forty million, two hundred twelve thousand, four hundred four".