Search a number
-
+
30244034120 = 23515719324953
BaseRepresentation
bin11100001010101011…
…110101011001001000
32220001202111010020212
4130022223311121020
5443414433042440
621521030340252
72120322022406
oct341253653110
986052433225
1030244034120
111190aa72523
125a407ba688
132b0cac91a1
14166ca10476
15bc0280465
hex70aaf5648

30244034120 has 64 divisors (see below), whose sum is σ = 68840100720. Its totient is φ = 11957796864.

The previous prime is 30244034113. The next prime is 30244034131. The reversal of 30244034120 is 2143044203.

It can be written as a sum of positive squares in 8 ways, for example, as 9345862276 + 20898171844 = 96674^2 + 144562^2 .

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 15 ways as a sum of consecutive naturals, for example, 1199564 + ... + 1224516.

Almost surely, 230244034120 is an apocalyptic number.

It is an amenable number.

30244034120 is an abundant number, since it is smaller than the sum of its proper divisors (38596066600).

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

30244034120 is a wasteful number, since it uses less digits than its factorization.

30244034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25314 (or 25310 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 30244034120 its reverse (2143044203), we get a palindrome (32387078323).

The spelling of 30244034120 in words is "thirty billion, two hundred forty-four million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 193 314 386 628 772 785 965 1256 1544 1570 1930 3140 3860 6280 7720 24953 30301 49906 60602 99812 121204 124765 151505 199624 242408 249530 303010 499060 606020 998120 1212040 3917621 4815929 7835242 9631858 15670484 19263716 19588105 24079645 31340968 38527432 39176210 48159290 78352420 96318580 156704840 192637160 756100853 1512201706 3024403412 3780504265 6048806824 7561008530 15122017060 30244034120