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30414321444 = 223131733734031
BaseRepresentation
bin11100010100110101…
…011011011100100100
32220111121220121112210
4130110311123130210
5444242031241234
621545552243420
72124460316043
oct342465333444
986447817483
1030414321444
1111998100951
125a89840570
132b3917c210
14168749a55a
15bd01babe9
hex714d5b724

30414321444 has 96 divisors (see below), whose sum is σ = 81163869696. Its totient is φ = 8781373440.

The previous prime is 30414321437. The next prime is 30414321449. The reversal of 30414321444 is 44412341403.

It is not an unprimeable number, because it can be changed into a prime (30414321449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876709 + ... + 910739.

It is an arithmetic number, because the mean of its divisors is an integer number (845456976).

Almost surely, 230414321444 is an apocalyptic number.

30414321444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30414321444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40581934848).

30414321444 is an abundant number, since it is smaller than the sum of its proper divisors (50749548252).

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

30414321444 is a wasteful number, since it uses less digits than its factorization.

30414321444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34405 (or 34403 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 30414321444 its reverse (44412341403), we get a palindrome (74826662847).

The spelling of 30414321444 in words is "thirty billion, four hundred fourteen million, three hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 337 442 663 674 884 1011 1326 1348 2022 2652 4044 4381 5729 8762 11458 13143 17187 17524 22916 26286 34031 34374 52572 68062 68748 74477 102093 136124 148954 204186 223431 297908 408372 442403 446862 578527 884806 893724 1157054 1327209 1735581 1769612 2314108 2654418 3471162 5308836 6942324 7520851 11468447 15041702 22562553 22936894 30083404 34405341 45125106 45873788 68810682 90250212 137621364 149089811 194963599 298179622 389927198 447269433 584890797 596359244 779854396 894538866 1169781594 1789077732 2339563188 2534526787 5069053574 7603580361 10138107148 15207160722 30414321444