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4332142052238 = 23711213475092741
BaseRepresentation
bin111111000010100111110…
…010011100001110001110
3120100011000102120011022110
4333002213302130032032
51031434211331132423
613114054130524450
7624662342604540
oct77024762341616
916304012504273
104332142052238
111420284282500
1259b721736726
13255699a11c60
1410d9691a1690
1577a50365193
hex3f0a7c9c38e

4332142052238 has 384 divisors, whose sum is σ = 11998577848320. Its totient is φ = 1014208588800.

The previous prime is 4332142052219. The next prime is 4332142052239. The reversal of 4332142052238 is 8322502412334.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4332142052196 and 4332142052205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332142052239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1580495548 + ... + 1580498288.

It is an arithmetic number, because the mean of its divisors is an integer number (31246296480).

Almost surely, 24332142052238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4332142052238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999288924160).

4332142052238 is an abundant number, since it is smaller than the sum of its proper divisors (7666435796082).

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

4332142052238 is a wasteful number, since it uses less digits than its factorization.

4332142052238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 4332142052238 in words is "four trillion, three hundred thirty-two billion, one hundred forty-two million, fifty-two thousand, two hundred thirty-eight".