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30214115204 = 22721361349557
BaseRepresentation
bin11100001000111001…
…101100111110000100
32212222200012002012212
4130020321230332010
5443334303141304
621514041202552
72116506512300
oct341071547604
985880162185
1030214115204
11118a5097a49
125a32790458
132b068520a0
141668a62d00
15bbc82066e
hex708e6cf84

30214115204 has 144 divisors (see below), whose sum is σ = 67638639600. Its totient is φ = 11702154240.

The previous prime is 30214115203. The next prime is 30214115207. The reversal of 30214115204 is 40251141203.

It can be written as a sum of positive squares in 8 ways, for example, as 10140892804 + 20073222400 = 100702^2 + 141680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 30214115204.

It is not an unprimeable number, because it can be changed into a prime (30214115203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 54244094 + ... + 54244650.

It is an arithmetic number, because the mean of its divisors is an integer number (469712775).

Almost surely, 230214115204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30214115204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33819319800).

30214115204 is an abundant number, since it is smaller than the sum of its proper divisors (37424524396).

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

30214115204 is a wasteful number, since it uses less digits than its factorization.

30214115204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 30214115204 its reverse (40251141203), we get a palindrome (70465256407).

The spelling of 30214115204 in words is "thirty billion, two hundred fourteen million, one hundred fifteen thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 61 91 98 122 182 196 244 349 364 427 557 637 698 793 854 1114 1274 1396 1586 1708 2228 2443 2548 2989 3172 3899 4537 4886 5551 5978 7241 7798 9074 9772 11102 11956 14482 15596 17101 18148 21289 22204 27293 28964 31759 33977 34202 38857 42578 50687 54586 63518 67954 68404 77714 85156 101374 109172 127036 135908 149023 155428 194393 202748 222313 237839 276757 298046 354809 388786 441701 444626 475678 553514 596092 709618 777572 883402 889252 951356 1043161 1107028 1360751 1419236 1664873 1766804 1937299 2086322 2527109 2721502 3091907 3329746 3874598 4172644 5054218 5443004 6183814 6659492 7749196 9525257 10108436 11857973 12367628 13561093 17689763 19050514 21643349 23715946 27122186 35379526 38101028 43286698 47431892 54244372 70759052 83005811 86573396 123828341 154153649 166011622 247656682 308307298 332023244 495313364 581040677 616614596 1079075543 1162081354 2158151086 2324162708 4316302172 7553528801 15107057602 30214115204