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41370421248 = 2113313219233
BaseRepresentation
bin100110100001110111…
…101000100000000000
310221210011202011001000
4212201313220200000
51134211311434443
631001051412000
72663124531012
oct464167504000
9127704664030
1041370421248
11165aa584892
128026a54000
133b93c75a00
1420065c01b2
151121e878d3
hex9a1de8800

41370421248 has 576 divisors, whose sum is σ = 140284872000. Its totient is φ = 12007636992.

The previous prime is 41370421243. The next prime is 41370421319. The reversal of 41370421248 is 84212407314.

41370421248 is a `hidden beast` number, since 4 + 1 + 370 + 42 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41370421243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177555340 + ... + 177555572.

It is an arithmetic number, because the mean of its divisors is an integer number (243550125).

Almost surely, 241370421248 is an apocalyptic number.

41370421248 is a gapful number since it is divisible by the number (48) 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 41370421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70142436000).

41370421248 is an abundant number, since it is smaller than the sum of its proper divisors (98914450752).

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

41370421248 is a wasteful number, since it uses less digits than its factorization.

41370421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 41370421248 in words is "forty-one billion, three hundred seventy million, four hundred twenty-one thousand, two hundred forty-eight".