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30440401212 = 223131725231291
BaseRepresentation
bin11100010110011000…
…111010100100111100
32220120102222121021010
4130112120322210330
5444320220314322
621552323235220
72125225066254
oct342630724474
986512877233
1030440401212
1111a008a3a81
125a96518b10
132b416b0a30
14168ab28964
15bd261d20c
hex71663a93c

30440401212 has 144 divisors (see below), whose sum is σ = 81473850752. Its totient is φ = 8791649280.

The previous prime is 30440401183. The next prime is 30440401219. The reversal of 30440401212 is 21210404403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30440401219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23578287 + ... + 23579577.

Almost surely, 230440401212 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 30440401212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40736925376).

30440401212 is an abundant number, since it is smaller than the sum of its proper divisors (51033449540).

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

30440401212 is a wasteful number, since it uses less digits than its factorization.

30440401212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30440401212 its reverse (21210404403), we get a palindrome (51650805615).

The spelling of 30440401212 in words is "thirty billion, four hundred forty million, four hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 523 578 663 867 884 1046 1156 1291 1326 1569 1734 2092 2582 2652 3138 3468 3757 3873 5164 6276 6799 7514 7746 8891 11271 13598 15028 15492 16783 17782 20397 21947 22542 26673 27196 33566 35564 40794 43894 45084 50349 53346 65841 67132 81588 87788 100698 106692 115583 131682 151147 201396 231166 263364 285311 302294 346749 373099 453441 462332 570622 604588 675193 693498 746198 855933 906882 1119297 1141244 1350386 1386996 1492396 1711866 1813764 1964911 2025579 2238594 2700772 3423732 3929822 4051158 4477188 4850287 5894733 7859644 8102316 8777509 9700574 11478281 11789466 14550861 17555018 19401148 22956562 23578932 26332527 29101722 34434843 35110036 45913124 52665054 58203444 68869686 105330108 137739372 149217653 195130777 298435306 390261554 447652959 585392331 596870612 780523108 895305918 1170784662 1790611836 2341569324 2536700101 5073400202 7610100303 10146800404 15220200606 30440401212