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4341542006340 = 223257111931531821
BaseRepresentation
bin111111001011011000000…
…100011010111001000100
3120101001021112020022012200
4333023120010122321010
51032112434223200330
613122251000314500
7625444313106540
oct77133004327104
916331245208180
104341542006340
111424268308110
125a1505772a30
132565372b8986
141101bb768a20
1577e006e6a60
hex3f2d811ae44

4341542006340 has 576 divisors, whose sum is σ = 17840628449280. Its totient is φ = 827086464000.

The previous prime is 4341542006303. The next prime is 4341542006357. The reversal of 4341542006340 is 436002451434.

4341542006340 is a `hidden beast` number, since 4 + 3 + 4 + 15 + 4 + 2 + 0 + 0 + 634 + 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 = 4341542006295 and 4341542006304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7897630 + ... + 8429450.

It is an arithmetic number, because the mean of its divisors is an integer number (30973313280).

Almost surely, 24341542006340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341542006340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920314224640).

4341542006340 is an abundant number, since it is smaller than the sum of its proper divisors (13499086442940).

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

4341542006340 is a wasteful number, since it uses less digits than its factorization.

4341542006340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531904 (or 531899 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4341542006340 its reverse (436002451434), we get a palindrome (4777544457774).

The spelling of 4341542006340 in words is "four trillion, three hundred forty-one billion, five hundred forty-two million, six thousand, three hundred forty".