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32340114300320 = 2551500611346957
BaseRepresentation
bin1110101101001110001010…
…00001100101110110100000
311020111200111011121020020222
413112213011001211312200
513214330023230102240
6152440502102022212
76545332115632541
oct726470501456640
9136450434536228
1032340114300320
11a339402465752
123763892a17968
1315078764642a8
147db3ac7c04c8
153b1391ec8eb5
hex1d69c5065da0

32340114300320 has 48 divisors (see below), whose sum is σ = 76404085907688. Its totient is φ = 12935949911040.

The previous prime is 32340114300301. The next prime is 32340114300337. The reversal of 32340114300320 is 2300341104323.

It can be written as a sum of positive squares in 4 ways, for example, as 23658534912016 + 8681579388304 = 4864004^2 + 2946452^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32340114300320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23336282 + ... + 24683238.

Almost surely, 232340114300320 is an apocalyptic number.

It is an amenable number.

32340114300320 is an abundant number, since it is smaller than the sum of its proper divisors (44063971607368).

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

32340114300320 is a wasteful number, since it uses less digits than its factorization.

32340114300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497033 (or 1497025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 32340114300320 its reverse (2300341104323), we get a palindrome (34640455404643).

The spelling of 32340114300320 in words is "thirty-two trillion, three hundred forty billion, one hundred fourteen million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 150061 300122 600244 750305 1200488 1346957 1500610 2400976 2693914 3001220 4801952 5387828 6002440 6734785 10775656 12004880 13469570 21551312 24009760 26939140 43102624 53878280 107756560 215513120 202125714377 404251428754 808502857508 1010628571885 1617005715016 2021257143770 3234011430032 4042514287540 6468022860064 8085028575080 16170057150160 32340114300320