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23314432143200 = 2552112649367289
BaseRepresentation
bin1010100110100010100000…
…11100100010111101100000
310001112211121212021122110012
411103101100130202331200
511023440424112040300
6121330300253424052
74624261235264522
oct523212034427540
9101484555248405
1023314432143200
117479660158890
1227465b019b028
131001706938333
145a85d2cdda12
152a66ddcce435
hex153450722f60

23314432143200 has 72 divisors (see below), whose sum is σ = 62090571808440. Its totient is φ = 8477975321600.

The previous prime is 23314432143193. The next prime is 23314432143209. The reversal of 23314432143200 is 234123441332.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314432143209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1324674845 + ... + 1324692444.

It is an arithmetic number, because the mean of its divisors is an integer number (862369052895).

Almost surely, 223314432143200 is an apocalyptic number.

23314432143200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23314432143200 is an abundant number, since it is smaller than the sum of its proper divisors (38776139665240).

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

23314432143200 is a wasteful number, since it uses less digits than its factorization.

23314432143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649367320 (or 2649367307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 23314432143200 its reverse (234123441332), we get a palindrome (23548555584532).

The spelling of 23314432143200 in words is "twenty-three trillion, three hundred fourteen billion, four hundred thirty-two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 2649367289 5298734578 10597469156 13246836445 21194938312 26493672890 29143040179 42389876624 52987345780 58286080358 66234182225 84779753248 105974691560 116572160716 132468364450 145715200895 211949383120 233144321432 264936728900 291430401790 423898766240 466288642864 529873457800 582860803580 728576004475 932577285728 1059746915600 1165721607160 1457152008950 2119493831200 2331443214320 2914304017900 4662886428640 5828608035800 11657216071600 23314432143200