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41490123480 = 23335133195327
BaseRepresentation
bin100110101001000000…
…010000101011011000
310222002111222122122000
4212221000100223120
51134432432422410
631021005201000
72666110142061
oct465100205330
9128074878560
1041490123480
1116661102953
12805ab60160
133bb29c7230
14201845d568
15112c72edc0
hex9a9010ad8

41490123480 has 256 divisors, whose sum is σ = 153744998400. Its totient is φ = 9883399680.

The previous prime is 41490123461. The next prime is 41490123497. The reversal of 41490123480 is 8432109414.

It is a happy number.

41490123480 is a `hidden beast` number, since 4 + 1 + 490 + 123 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 387577 + ... + 482903.

It is an arithmetic number, because the mean of its divisors is an integer number (600566400).

Almost surely, 241490123480 is an apocalyptic number.

41490123480 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 41490123480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76872499200).

41490123480 is an abundant number, since it is smaller than the sum of its proper divisors (112254874920).

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

41490123480 is a wasteful number, since it uses less digits than its factorization.

41490123480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95391 (or 95381 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41490123480 in words is "forty-one billion, four hundred ninety million, one hundred twenty-three thousand, four hundred eighty".