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41243820904 = 2311213171973139
BaseRepresentation
bin100110011010010100…
…101100001101101000
310221110100112012000101
4212122110230031220
51133431404232104
630540330115144
72660026456546
oct463224541550
9127410465011
1041243820904
1116545075100
127bb057bab4
133b7397a770
141dd3866d96
151115ccb5a4
hex99a52c368

41243820904 has 384 divisors, whose sum is σ = 104167728000. Its totient is φ = 15109079040.

The previous prime is 41243820817. The next prime is 41243820979. The reversal of 41243820904 is 40902834214.

It is a super-2 number, since 2×412438209042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296718067 + ... + 296718205.

It is an arithmetic number, because the mean of its divisors is an integer number (271270125).

Almost surely, 241243820904 is an apocalyptic number.

41243820904 is a gapful number since it is divisible by the number (44) 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 41243820904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52083864000).

41243820904 is an abundant number, since it is smaller than the sum of its proper divisors (62923907096).

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

41243820904 is a wasteful number, since it uses less digits than its factorization.

41243820904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 41243820904 in words is "forty-one billion, two hundred forty-three million, eight hundred twenty thousand, nine hundred four".