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132444434210000 = 2454111204040311
BaseRepresentation
bin11110000111010100011111…
…011101000001110011010000
3122100221120020100020020211012
4132013110133131001303100
5114324432200124210000
61145404044430310052
736616536355521353
oct3607243735016320
9570846210206735
10132444434210000
1139223407324010
1212a30751058328
1358b95c208a433
14249c4b828029a
15104a2b4d9b735
hex78751f741cd0

132444434210000 has 100 divisors (see below), whose sum is σ = 349812239925984. Its totient is φ = 48161612400000.

The previous prime is 132444434209979. The next prime is 132444434210047. The reversal of 132444434210000 is 12434444231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-4 number, since 4×1324444342100004 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 601910156 + ... + 602130155.

Almost surely, 2132444434210000 is an apocalyptic number.

132444434210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132444434210000 is an abundant number, since it is smaller than the sum of its proper divisors (217367805715984).

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

132444434210000 is a wasteful number, since it uses less digits than its factorization.

132444434210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204040350 (or 1204040329 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 132444434210000 its reverse (12434444231), we get a palindrome (132456868654231).

The spelling of 132444434210000 in words is "one hundred thirty-two trillion, four hundred forty-four billion, four hundred thirty-four million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 1204040311 2408080622 4816161244 6020201555 9632322488 12040403110 13244443421 19264644976 24080806220 26488886842 30101007775 48161612440 52977773684 60202015550 66222217105 96323224880 105955547368 120404031100 132444434210 150505038875 211911094736 240808062200 264888868420 301010077750 331111085525 481616124400 529777736840 602020155500 662222171050 752525194375 1059555473680 1204040311000 1324444342100 1505050388750 1655555427625 2408080622000 2648888684200 3010100777500 3311110855250 5297777368400 6020201555000 6622221710500 8277777138125 12040403110000 13244443421000 16555554276250 26488886842000 33111108552500 66222217105000 132444434210000