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23324411442332 = 22711131922232692
BaseRepresentation
bin1010100110110101000110…
…10000100011010010011100
310001120210101100002120022202
411103122203100203102130
511024121343312123312
6121335030420431032
74625063442031220
oct523324320432234
9101523340076282
1023324411442332
117482911213a40
122748516248478
131002637258370
145a8c9c3d4780
152a6ac4e4d9c2
hex1536a342349c

23324411442332 has 432 divisors, whose sum is σ = 58316617562112. Its totient is φ = 7881858731520.

The previous prime is 23324411442331. The next prime is 23324411442467.

23324411442332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23324411442331) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86707849094 + ... + 86707849362.

Almost surely, 223324411442332 is an apocalyptic number.

23324411442332 is a gapful number since it is divisible by the number (22) 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 23324411442332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29158308781056).

23324411442332 is an abundant number, since it is smaller than the sum of its proper divisors (34992206119780).

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

23324411442332 is a wasteful number, since it uses less digits than its factorization.

23324411442332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 544 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2332441 and 1442332, that added together give a palindrome (3774773).

The spelling of 23324411442332 in words is "twenty-three trillion, three hundred twenty-four billion, four hundred eleven million, four hundred forty-two thousand, three hundred thirty-two".