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41321548794240 = 27335111396717293
BaseRepresentation
bin10010110010100111011000…
…01111001100100110000000
312102022022010210010122002000
421121103230033030212000
520404003012442403430
6223514505113224000
711463245333333211
oct1131235417144600
9172268123118060
1041321548794240
1112191409053320
124774487102000
131a097b3bb4410
14a2bd8b911408
154b9d05844e60
hex2594ec3cc980

41321548794240 has 1024 divisors, whose sum is σ = 172120070707200. Its totient is φ = 9236683653120.

The previous prime is 41321548794209. The next prime is 41321548794269. The reversal of 41321548794240 is 4249784512314.

It is a happy number.

41321548794240 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 548 + 7 + 94 + 2 + 4 + 0 = 666.

It is a super-5 number, since 5×413215487942405 (a number of 69 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2389487034 + ... + 2389504326.

It is an arithmetic number, because the mean of its divisors is an integer number (168086006550).

Almost surely, 241321548794240 is an apocalyptic number.

41321548794240 is a gapful number since it is divisible by the number (40) 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 41321548794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86060035353600).

41321548794240 is an abundant number, since it is smaller than the sum of its proper divisors (130798521912960).

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

41321548794240 is a wasteful number, since it uses less digits than its factorization.

41321548794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18312 (or 18294 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 41321548794240 in words is "forty-one trillion, three hundred twenty-one billion, five hundred forty-eight million, seven hundred ninety-four thousand, two hundred forty".