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132034230240 = 25351125006483
BaseRepresentation
bin111101011110111011…
…0100111011111100000
3110121210200200211220120
41322331312213133200
54130401230331430
6140353343440240
712352634303523
oct1727566473740
9417720624816
10132034230240
1150aa4976450
1221709bb6080
13c5b2475473
146567714bba
15367b738610
hex1ebdda77e0

132034230240 has 96 divisors (see below), whose sum is σ = 453717645696. Its totient is φ = 32008296960.

The previous prime is 132034230193. The next prime is 132034230241. The reversal of 132034230240 is 42032430231.

132034230240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 132034230240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132034230241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12497962 + ... + 12508521.

It is an arithmetic number, because the mean of its divisors is an integer number (4726225476).

Almost surely, 2132034230240 is an apocalyptic number.

132034230240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132034230240 is an abundant number, since it is smaller than the sum of its proper divisors (321683415456).

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

132034230240 is a wasteful number, since it uses less digits than its factorization.

132034230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25006512 (or 25006504 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132034230240 its reverse (42032430231), we get a palindrome (174066660471).

Subtracting from 132034230240 its reverse (42032430231), we obtain a square (90001800009 = 3000032).

The spelling of 132034230240 in words is "one hundred thirty-two billion, thirty-four million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 25006483 50012966 75019449 100025932 125032415 150038898 200051864 250064830 275071313 300077796 375097245 400103728 500129660 550142626 600155592 750194490 800207456 825213939 1000259320 1100285252 1200311184 1375356565 1500388980 1650427878 2000518640 2200570504 2400622368 2750713130 3000777960 3300855756 4001037280 4126069695 4401141008 5501426260 6001555920 6601711512 8252139390 8802282016 11002852520 12003111840 13203423024 16504278780 22005705040 26406846048 33008557560 44011410080 66017115120 132034230240