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132134401344240 = 24325367500054501
BaseRepresentation
bin11110000010110011110000…
…000011100000001011110000
3122022211220222121200211121100
4132002303300003200023300
5114304342223221003430
61145005412254124400
736555252433611351
oct3602636003401360
9568756877624540
10132134401344240
1139113980905219
12129a06477b0700
1358962b3804b89
14248b4a68a1d28
1510421bb9db960
hex782cf00e02f0

132134401344240 has 120 divisors (see below), whose sum is σ = 444960497187648. Its totient is φ = 35139829824000.

The previous prime is 132134401344229. The next prime is 132134401344269. The reversal of 132134401344240 is 42443104431231.

132134401344240 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 4 + 401 + 3 + 4 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132134401344195 and 132134401344204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249763011 + ... + 250291490.

Almost surely, 2132134401344240 is an apocalyptic number.

132134401344240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132134401344240 is an abundant number, since it is smaller than the sum of its proper divisors (312826095843408).

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

132134401344240 is a wasteful number, since it uses less digits than its factorization.

132134401344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500054887 (or 500054878 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132134401344240 its reverse (42443104431231), we get a palindrome (174577505775471).

The spelling of 132134401344240 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, four hundred one million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 367 720 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 5872 6606 7340 8808 11010 13212 14680 16515 17616 22020 26424 29360 33030 44040 52848 66060 88080 132120 264240 500054501 1000109002 1500163503 2000218004 2500272505 3000327006 4000436008 4500490509 5000545010 6000654012 7500817515 8000872016 9000981018 10001090020 12001308024 15001635030 18001962036 20002180040 22502452545 24002616048 30003270060 36003924072 40004360080 45004905090 60006540120 72007848144 90009810180 120013080240 180019620360 183520001867 360039240720 367040003734 550560005601 734080007468 917600009335 1101120011202 1468160014936 1651680016803 1835200018670 2202240022404 2752800028005 2936320029872 3303360033606 3670400037340 4404480044808 5505600056010 6606720067212 7340800074680 8258400084015 8808960089616 11011200112020 13213440134424 14681600149360 16516800168030 22022400224040 26426880268848 33033600336060 44044800448080 66067200672120 132134401344240