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30414211044 = 22377326318859
BaseRepresentation
bin11100010100110101…
…000000011111100100
32220111121201000002220
4130110311000133210
5444242014223134
621545550032340
72124456346140
oct342465003744
986447630086
1030414211044
1111998035a08
125a897a86b0
132b39140ba9
14168746c220
15bd0198149
hex714d407e4

30414211044 has 96 divisors (see below), whose sum is σ = 82532567040. Its totient is φ = 8537695488.

The previous prime is 30414211039. The next prime is 30414211081. The reversal of 30414211044 is 44011241403.

It is a super-3 number, since 3×304142110443 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1603287 + ... + 1622145.

It is an arithmetic number, because the mean of its divisors is an integer number (859714240).

Almost surely, 230414211044 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 30414211044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41266283520).

30414211044 is an abundant number, since it is smaller than the sum of its proper divisors (52118355996).

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

30414211044 is a wasteful number, since it uses less digits than its factorization.

30414211044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19209 (or 19207 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 30414211044 its reverse (44011241403), we get a palindrome (74425452447).

The spelling of 30414211044 in words is "thirty billion, four hundred fourteen million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 263 292 438 511 526 789 876 1022 1052 1533 1578 1841 2044 3066 3156 3682 5523 6132 7364 11046 18859 19199 22092 37718 38398 56577 57597 75436 76796 113154 115194 132013 134393 226308 230388 264026 268786 396039 403179 528052 537572 792078 806358 1376707 1584156 1612716 2753414 4130121 4959917 5506828 8260242 9636949 9919834 14879751 16520484 19273898 19839668 28910847 29759502 34719419 38547796 57821694 59519004 69438838 104158257 115643388 138877676 208316514 362073941 416633028 724147882 1086221823 1448295764 2172443646 2534517587 4344887292 5069035174 7603552761 10138070348 15207105522 30414211044