Search a number
-
+
4342200133050 = 23552131132111153
BaseRepresentation
bin111111001011111111010…
…010111110010110111010
3120101002222101121121100000
4333023333102332112322
51032120311213224200
613122440150253430
7625466524101363
oct77137722762672
916332871547300
104342200133050
11142457585748a
125a166a057276
13256610756970
14110240d22b6a
1577e3d397300
hex3f2ff4be5ba

4342200133050 has 576 divisors, whose sum is σ = 13217791257216. Its totient is φ = 1053455155200.

The previous prime is 4342200132953. The next prime is 4342200133087. The reversal of 4342200133050 is 503310022434.

4342200133050 is a `hidden beast` number, since 4 + 342 + 2 + 0 + 0 + 13 + 305 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3766001274 + ... + 3766002426.

It is an arithmetic number, because the mean of its divisors is an integer number (22947554266).

Almost surely, 24342200133050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342200133050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608895628608).

4342200133050 is an abundant number, since it is smaller than the sum of its proper divisors (8875591124166).

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

4342200133050 is a wasteful number, since it uses less digits than its factorization.

4342200133050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 4342200133050 its reverse (503310022434), we get a palindrome (4845510155484).

The spelling of 4342200133050 in words is "four trillion, three hundred forty-two billion, two hundred million, one hundred thirty-three thousand, fifty".