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424413023432040 = 233253749164893767
BaseRepresentation
bin110000010000000000101101…
…1011111111110110101101000
32001122201111012022212120220100
41200200001123133332311220
5421112040332444311130
64102352352404425400
7155252554240141116
oct14040013337766550
92048644168776810
10424413023432040
1111325a609336975
123b7261069a8260
13152a7c90152846
1476b39b28b2ab6
15340ee53d97c60
hex182005b7fed68

424413023432040 has 192 divisors, whose sum is σ = 1419507047237760. Its totient is φ = 109893699095040.

The previous prime is 424413023431981. The next prime is 424413023432059. The reversal of 424413023432040 is 40234320314424.

424413023432040 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 1 + 302 + 343 + 2 + 0 + 4 + 0 = 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 = 424413023431986 and 424413023432004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25906764 + ... + 38987003.

It is an arithmetic number, because the mean of its divisors is an integer number (7393265871030).

Almost surely, 2424413023432040 is an apocalyptic number.

424413023432040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424413023432040 is an abundant number, since it is smaller than the sum of its proper divisors (995094023805720).

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

424413023432040 is a wasteful number, since it uses less digits than its factorization.

424413023432040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64894312 (or 64894305 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 424413023432040 its reverse (40234320314424), we get a palindrome (464647343746464).

The spelling of 424413023432040 in words is "four hundred twenty-four trillion, four hundred thirteen billion, twenty-three million, four hundred thirty-two thousand, forty".