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30413434050 = 23252443152563
BaseRepresentation
bin11100010100110010…
…000010110011000010
32220111120020112021100
4130110302002303002
5444241314342200
621545521235230
72124446631636
oct342462026302
986446215240
1030413434050
111199765516a
125a89492b16
132b38c2b32c
141687308dc6
15bd0092d00
hex714c82cc2

30413434050 has 72 divisors (see below), whose sum is σ = 81895744944. Its totient is φ = 8091888480.

The previous prime is 30413434033. The next prime is 30413434063. The reversal of 30413434050 is 5043431403.

30413434050 is a `hidden beast` number, since 304 + 13 + 4 + 340 + 5 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123069 + ... + 275631.

It is an arithmetic number, because the mean of its divisors is an integer number (1137440902).

Almost surely, 230413434050 is an apocalyptic number.

30413434050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30413434050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947872472).

30413434050 is an abundant number, since it is smaller than the sum of its proper divisors (51482310894).

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

30413434050 is a wasteful number, since it uses less digits than its factorization.

30413434050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153024 (or 153016 counting only the distinct ones).

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

Adding to 30413434050 its reverse (5043431403), we get a palindrome (35456865453).

The spelling of 30413434050 in words is "thirty billion, four hundred thirteen million, four hundred thirty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 443 450 886 1329 2215 2658 3987 4430 6645 7974 11075 13290 19935 22150 33225 39870 66450 99675 152563 199350 305126 457689 762815 915378 1373067 1525630 2288445 2746134 3814075 4576890 6865335 7628150 11442225 13730670 22884450 34326675 67585409 68653350 135170818 202756227 337927045 405512454 608268681 675854090 1013781135 1216537362 1689635225 2027562270 3041343405 3379270450 5068905675 6082686810 10137811350 15206717025 30413434050