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132321042114000 = 2435322053507019
BaseRepresentation
bin11110000101100001100100…
…101101100010010111010000
3122100111202201221020022101120
4132011201210231202113100
5114320421443240122000
61145231240401402240
736604610530151265
oct3605414455422720
9570452657208346
10132321042114000
1139186047741a73
1212a10855339380
1358aaa891b6a8c
14249653062726c
151046e922006a0
hex785864b625d0

132321042114000 has 80 divisors (see below), whose sum is σ = 426603039794880. Its totient is φ = 35285611228800.

The previous prime is 132321042113993. The next prime is 132321042114011. The reversal of 132321042114000 is 411240123231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1323210421140002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11026747510 + ... + 11026759509.

It is an arithmetic number, because the mean of its divisors is an integer number (5332537997436).

Almost surely, 2132321042114000 is an apocalyptic number.

132321042114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132321042114000 is an abundant number, since it is smaller than the sum of its proper divisors (294281997680880).

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

132321042114000 is a wasteful number, since it uses less digits than its factorization.

132321042114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22053507045 (or 22053507029 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132321042114000 its reverse (411240123231), we get a palindrome (132732282237231).

The spelling of 132321042114000 in words is "one hundred thirty-two trillion, three hundred twenty-one billion, forty-two million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 22053507019 44107014038 66160521057 88214028076 110267535095 132321042114 176428056152 220535070190 264642084228 330802605285 352856112304 441070140380 529284168456 551337675475 661605210570 882140280760 1058568336912 1102675350950 1323210421140 1654013026425 1764280561520 2205350701900 2646420842280 2756688377375 3308026052850 4410701403800 5292841684560 5513376754750 6616052105700 8270065132125 8821402807600 11026753509500 13232104211400 16540130264250 22053507019000 26464208422800 33080260528500 44107014038000 66160521057000 132321042114000