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30042145200 = 2435225035121
BaseRepresentation
bin11011111110101001…
…101100000110110000
32212112200121002201110
4123332221230012300
5443011242121300
621445015233320
72112321010104
oct337651540660
985480532643
1030042145200
111181700a381
1259a5078840
132aaa0301a2
14164dc99904
15bac6a1550
hex6fea6c1b0

30042145200 has 60 divisors (see below), whose sum is σ = 96235008968. Its totient is φ = 8011238400.

The previous prime is 30042145181. The next prime is 30042145249. The reversal of 30042145200 is 254124003.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12516361 + ... + 12518760.

Almost surely, 230042145200 is an apocalyptic number.

30042145200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30042145200 is an abundant number, since it is smaller than the sum of its proper divisors (66192863768).

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

30042145200 is a wasteful number, since it uses less digits than its factorization.

30042145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035142 (or 25035131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 30042145200 its reverse (254124003), we get a palindrome (30296269203).

The spelling of 30042145200 in words is "thirty billion, forty-two million, one hundred forty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25035121 50070242 75105363 100140484 125175605 150210726 200280968 250351210 300421452 375526815 400561936 500702420 600842904 625878025 751053630 1001404840 1201685808 1251756050 1502107260 1877634075 2002809680 2503512100 3004214520 3755268150 5007024200 6008429040 7510536300 10014048400 15021072600 30042145200