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33314444012212 = 22112417692183117
BaseRepresentation
bin1111001001100100111111…
…00110011110101010110100
311100221211101212211220111121
413210302133212132222310
513331310440131342322
6154504235545113324
710005613656554506
oct744623746365264
9140854355756447
1033314444012212
11a684638159200
1238a068ba88844
13157870038b02c
148325db83bd76
153cb8b9cb8ec7
hex1e4c9f99eab4

33314444012212 has 72 divisors (see below), whose sum is σ = 65730495627720. Its totient is φ = 14754371174400.

The previous prime is 33314444012131. The next prime is 33314444012231. The reversal of 33314444012212 is 21221044441333.

It can be written as a sum of positive squares in 4 ways, for example, as 48380641936 + 33266063370276 = 219956^2 + 5767674^2 .

It is a super-4 number, since 4×333144440122124 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14168478 + ... + 16351594.

It is an arithmetic number, because the mean of its divisors is an integer number (912923550385).

Almost surely, 233314444012212 is an apocalyptic number.

It is an amenable number.

33314444012212 is a deficient number, since it is larger than the sum of its proper divisors (32416051615508).

33314444012212 is a wasteful number, since it uses less digits than its factorization.

33314444012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183953 (or 2183940 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 33314444012212 its reverse (21221044441333), we get a palindrome (54535488453545).

The spelling of 33314444012212 in words is "thirty-three trillion, three hundred fourteen billion, four hundred forty-four million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 451 484 769 902 1538 1804 3076 4961 8459 9922 16918 19844 31529 33836 63058 93049 126116 186098 346819 372196 693638 1387276 2183117 3815009 4366234 7630018 8732468 15260036 24014287 48028574 89507797 96057148 179015594 264157157 358031188 528314314 984585767 1056628628 1678816973 1969171534 3357633946 3938343068 6715267892 10830443437 18466986703 21660886874 36933973406 43321773748 68831495893 73867946812 137662991786 203136853733 275325983572 406273707466 757146454823 812547414932 1514292909646 3028585819292 8328611003053 16657222006106 33314444012212