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41318498304 = 214332331131
BaseRepresentation
bin100110011110110001…
…100100000000000000
310221122120001012011000
4212132301210000000
51134110013421204
630551554452000
72661624304116
oct463661440000
9127576035130
1041318498304
1116583240366
128011594000
133b86296285
141ddd745ab6
15111c62d039
hex99ec64000

41318498304 has 480 divisors, whose sum is σ = 132871495680. Its totient is φ = 12651724800.

The previous prime is 41318498303. The next prime is 41318498341. The reversal of 41318498304 is 40389481314.

It is a self number, because there is not a number n which added to its sum of digits gives 41318498304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41318498303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315408319 + ... + 315408449.

It is an arithmetic number, because the mean of its divisors is an integer number (276815616).

Almost surely, 241318498304 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 41318498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66435747840).

41318498304 is an abundant number, since it is smaller than the sum of its proper divisors (91552997376).

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

41318498304 is a wasteful number, since it uses less digits than its factorization.

41318498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41318498304 in words is "forty-one billion, three hundred eighteen million, four hundred ninety-eight thousand, three hundred four".