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41148987390 = 23457173147293
BaseRepresentation
bin100110010100101010…
…111011011111111110
310221012202002010220000
4212110222323133332
51133233120044030
630523101335130
72654465423160
oct462452733776
9127182063800
1041148987390
11164a65922a5
127b848674a6
133b5a125764
141dc501c930
15110c7e7860
hex994abb7fe

41148987390 has 640 divisors, whose sum is σ = 141631193088. Its totient is φ = 8355778560.

The previous prime is 41148987379. The next prime is 41148987391. The reversal of 41148987390 is 9378984114.

41148987390 is a `hidden beast` number, since 4 + 1 + 1 + 489 + 8 + 73 + 90 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148987391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 140440084 + ... + 140440376.

Almost surely, 241148987390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41148987390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70815596544).

41148987390 is an abundant number, since it is smaller than the sum of its proper divisors (100482205698).

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

41148987390 is a wasteful number, since it uses less digits than its factorization.

41148987390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 41148987390 in words is "forty-one billion, one hundred forty-eight million, nine hundred eighty-seven thousand, three hundred ninety".