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41041332224 = 211101198413
BaseRepresentation
bin100110001110010000…
…010000100000000000
310220221020111200202122
4212032100100200000
51133023040112344
630504254103412
72652020365544
oct461620204000
9126836450678
1041041332224
1116450842392
127b547aab68
133b40a31789
141db49d7a24
15110312eaee
hex98e410800

41041332224 has 48 divisors (see below), whose sum is σ = 82875543660. Its totient is φ = 20317388800.

The previous prime is 41041332193. The next prime is 41041332247. The reversal of 41041332224 is 42223314014.

It can be written as a sum of positive squares in 2 ways, for example, as 39172326400 + 1869005824 = 197920^2 + 43232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41041332193 and 41041332202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107642 + ... + 306054.

Almost surely, 241041332224 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 41041332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41437771830).

41041332224 is an abundant number, since it is smaller than the sum of its proper divisors (41834211436).

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

41041332224 is a wasteful number, since it uses less digits than its factorization.

41041332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198536 (or 198516 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 41041332224 its reverse (42223314014), we get a palindrome (83264646238).

The spelling of 41041332224 in words is "forty-one billion, forty-one million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 2048 3232 6464 12928 25856 51712 103424 198413 206848 396826 793652 1587304 3174608 6349216 12698432 20039713 25396864 40079426 50793728 80158852 101587456 160317704 203174912 320635408 406349824 641270816 1282541632 2565083264 5130166528 10260333056 20520666112 41041332224