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32340442025140 = 2256127299713653
BaseRepresentation
bin1110101101001110110001…
…00011110000110010110100
311020111201100000021101012021
413112213120203300302310
513214331211124301030
6152440554410202524
76545343205353514
oct726473043606264
9136451300241167
1032340442025140
11a339560456207
123763964723444
1315078c931b5c2
147db40012d844
153b13b0b6297a
hex1d69d88f0cb4

32340442025140 has 48 divisors (see below), whose sum is σ = 69053589193680. Its totient is φ = 12719444474880.

The previous prime is 32340442025113. The next prime is 32340442025153. The reversal of 32340442025140 is 4152024404323.

It can be written as a sum of positive squares in 8 ways, for example, as 1384415798544 + 30956026226596 = 1176612^2 + 5563814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32340442025096 and 32340442025105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527447 + ... + 8186206.

It is an arithmetic number, because the mean of its divisors is an integer number (1438616441535).

Almost surely, 232340442025140 is an apocalyptic number.

It is an amenable number.

32340442025140 is an abundant number, since it is smaller than the sum of its proper divisors (36713147168540).

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

32340442025140 is a wasteful number, since it uses less digits than its factorization.

32340442025140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716452 (or 9716450 counting only the distinct ones).

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

Adding to 32340442025140 its reverse (4152024404323), we get a palindrome (36492466429463).

The spelling of 32340442025140 in words is "thirty-two trillion, three hundred forty billion, four hundred forty-two million, twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2729 5458 10916 13645 27290 54580 166469 332938 665876 832345 1664690 3329380 9713653 19427306 38854612 48568265 97136530 194273060 592532833 1185065666 2370131332 2962664165 5925328330 11850656660 26508559037 53017118074 106034236148 132542795185 265085590370 530171180740 1617022101257 3234044202514 6468088405028 8085110506285 16170221012570 32340442025140