Search a number
-
+
40530924000 = 2532537179461
BaseRepresentation
bin100101101111110101…
…001101000111100000
310212121200002021022100
4211233311031013200
51131001404032000
630341502210400
72633252112120
oct455765150740
9125550067270
1040530924000
1116209717106
127a31883a00
133a8c074088
141d66cd2c80
1510c340ca00
hex96fd4d1e0

40530924000 has 576 divisors, whose sum is σ = 174082027392. Its totient is φ = 8718336000.

The previous prime is 40530923999. The next prime is 40530924019. The reversal of 40530924000 is 42903504.

40530924000 is a `hidden beast` number, since 4 + 0 + 530 + 92 + 40 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4279270 + ... + 4288730.

It is an arithmetic number, because the mean of its divisors is an integer number (302225742).

Almost surely, 240530924000 is an apocalyptic number.

40530924000 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 40530924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87041013696).

40530924000 is an abundant number, since it is smaller than the sum of its proper divisors (133551103392).

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

40530924000 is a wasteful number, since it uses less digits than its factorization.

40530924000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 40530924000 in words is "forty billion, five hundred thirty million, nine hundred twenty-four thousand".