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41332423314 = 237133747101431
BaseRepresentation
bin100110011111100110…
…101011101010010010
310221200112020122200010
4212133212223222102
51134122100021224
630553213135350
72662153541610
oct463746535222
9127615218603
1041332423314
1116590091436
12801618a556
133b89130520
14200152c6b0
15111d97de29
hex99f9aba92

41332423314 has 256 divisors, whose sum is σ = 108020957184. Its totient is φ = 10253952000.

The previous prime is 41332423303. The next prime is 41332423337.

It is a happy number.

41332423314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95898679 + ... + 95899109.

It is an arithmetic number, because the mean of its divisors is an integer number (421956864).

Almost surely, 241332423314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41332423314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54010478592).

41332423314 is an abundant number, since it is smaller than the sum of its proper divisors (66688533870).

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

41332423314 is a wasteful number, since it uses less digits than its factorization.

41332423314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

The product of its digits is 20736, while the sum is 30.

The spelling of 41332423314 in words is "forty-one billion, three hundred thirty-two million, four hundred twenty-three thousand, three hundred fourteen".