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324840073140 = 223351179692239
BaseRepresentation
bin1001011101000011111…
…10100010011110110100
31011001110122220111011000
410232201332202132310
520310233024320030
6405121322043300
732316561030552
oct4564176423664
91131418814130
10324840073140
11115844830970
1252b58349530
132482b19ba3b
1411a18178bd2
1586b32e0860
hex4ba1fa27b4

324840073140 has 192 divisors, whose sum is σ = 1116444672000. Its totient is φ = 77752172160.

The previous prime is 324840073127. The next prime is 324840073141. The reversal of 324840073140 is 41370048423.

324840073140 is a `hidden beast` number, since 3 + 2 + 48 + 400 + 73 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 324840073095 and 324840073104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324840073141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123141 + ... + 815379.

It is an arithmetic number, because the mean of its divisors is an integer number (5814816000).

Almost surely, 2324840073140 is an apocalyptic number.

324840073140 is a gapful number since it is divisible by the number (30) 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 324840073140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558222336000).

324840073140 is an abundant number, since it is smaller than the sum of its proper divisors (791604598860).

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

324840073140 is a wasteful number, since it uses less digits than its factorization.

324840073140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692347 (or 692339 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 324840073140 in words is "three hundred twenty-four billion, eight hundred forty million, seventy-three thousand, one hundred forty".