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2432325142240 = 25572171718877
BaseRepresentation
bin100011011001010001111…
…000000100011011100000
322121112020220212120212021
4203121101320010123200
5304322400214022430
65101221133111224
7340505166403210
oct43312170043340
98545226776767
102432325142240
118585a814aa74
12333498928514
131484a0ba37c6
1485a21bd2240
154340c6db07a
hex23651e046e0

2432325142240 has 48 divisors (see below), whose sum is σ = 6567277887072. Its totient is φ = 833940048384.

The previous prime is 2432325142223. The next prime is 2432325142259. The reversal of 2432325142240 is 422415232342.

It is a junction number, because it is equal to n+sod(n) for n = 2432325142196 and 2432325142205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085858319 + ... + 1085860558.

It is an arithmetic number, because the mean of its divisors is an integer number (136818289314).

Almost surely, 22432325142240 is an apocalyptic number.

2432325142240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432325142240 is an abundant number, since it is smaller than the sum of its proper divisors (4134952744832).

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

2432325142240 is a wasteful number, since it uses less digits than its factorization.

2432325142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171718899 (or 2171718891 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The spelling of 2432325142240 in words is "two trillion, four hundred thirty-two billion, three hundred twenty-five million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2171718877 4343437754 8686875508 10858594385 15202032139 17373751016 21717188770 30404064278 34747502032 43434377540 60808128556 69495004064 76010160695 86868755080 121616257112 152020321390 173737510160 243232514224 304040642780 347475020320 486465028448 608081285560 1216162571120 2432325142240