Search a number
-
+
542034103050 = 234521112899439
BaseRepresentation
bin1111110001100111100…
…00000000101100001010
31220211002021210101120000
413320303300000230022
532340041212244200
61053001303543430
754106052566626
oct7706360005412
91824067711500
10542034103050
1119996a136240
128907215ab76
133c1627580bb
141c33da06186
15e175eb7300
hex7e33c00b0a

542034103050 has 240 divisors, whose sum is σ = 1644414393600. Its totient is φ = 131286355200.

The previous prime is 542034103049. The next prime is 542034103063. The reversal of 542034103050 is 50301430245.

542034103050 is a `hidden beast` number, since 542 + 0 + 3 + 41 + 0 + 30 + 50 = 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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 57420231 + ... + 57429669.

It is an arithmetic number, because the mean of its divisors is an integer number (6851726640).

Almost surely, 2542034103050 is an apocalyptic number.

542034103050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542034103050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822207196800).

542034103050 is an abundant number, since it is smaller than the sum of its proper divisors (1102380290550).

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

542034103050 is a wasteful number, since it uses less digits than its factorization.

542034103050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10763 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 542034103050 its reverse (50301430245), we get a palindrome (592335533295).

The spelling of 542034103050 in words is "five hundred forty-two billion, thirty-four million, one hundred three thousand, fifty".