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34404232144312 = 23103719178332569
BaseRepresentation
bin1111101001010010111000…
…00010010010010110111000
311111211000100002111000222201
413310221130002102112320
514002134331412104222
6201101030330555544
710150423642053442
oct764513402222670
9144730302430881
1034404232144312
11aa64831146748
123a3792b898bb4
1316273c75c7a04
1486d260991492
153e9dedeab427
hex1f4a5c0925b8

34404232144312 has 64 divisors (see below), whose sum is σ = 65263401216000. Its totient is φ = 17001349542144.

The previous prime is 34404232144297. The next prime is 34404232144369. The reversal of 34404232144312 is 21344123240443.

It is a super-2 number, since 2×344042321443122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056332764 + ... + 1056365332.

It is an arithmetic number, because the mean of its divisors is an integer number (1019740644000).

Almost surely, 234404232144312 is an apocalyptic number.

It is an amenable number.

34404232144312 is a deficient number, since it is larger than the sum of its proper divisors (30859169071688).

34404232144312 is a wasteful number, since it uses less digits than its factorization.

34404232144312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35180 (or 35176 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 34404232144312 its reverse (21344123240443), we get a palindrome (55748355384755).

The spelling of 34404232144312 in words is "thirty-four trillion, four hundred four billion, two hundred thirty-two million, one hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 103 206 412 719 824 1438 1783 2876 3566 5752 7132 14264 32569 65138 74057 130276 148114 183649 260552 296228 367298 592456 734596 1281977 1469192 2563954 3354607 5127908 6709214 10255816 13418428 23417111 26836856 46834222 58070527 93668444 116141054 132043631 187336888 232282108 264087262 464564216 528174524 1056349048 2411962433 4823924866 5981264281 9647849732 11962528562 19295699464 23925057124 41752708913 47850114248 83505417826 167010835652 334021671304 4300529018039 8601058036078 17202116072156 34404232144312