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423442422400 = 27521031128347
BaseRepresentation
bin1100010100101110010…
…00101001101010000000
31111110222102121211000111
412022113020221222000
523414202230004100
6522305440401104
742410204126554
oct6122710515200
91443872554014
10423442422400
11153643232308
126a096016194
1330c132730ba
14166cd739864
15b03499b6ba
hex6297229a80

423442422400 has 96 divisors (see below), whose sum is σ = 1047057850080. Its totient is φ = 169211366400.

The previous prime is 423442422397. The next prime is 423442422407. The reversal of 423442422400 is 4224244324.

It is not an unprimeable number, because it can be changed into a prime (423442422407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3235027 + ... + 3363373.

It is an arithmetic number, because the mean of its divisors is an integer number (10906852605).

Almost surely, 2423442422400 is an apocalyptic number.

423442422400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423442422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523528925040).

423442422400 is an abundant number, since it is smaller than the sum of its proper divisors (623615427680).

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

423442422400 is a wasteful number, since it uses less digits than its factorization.

423442422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129402 (or 129385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

Adding to 423442422400 its reverse (4224244324), we get a palindrome (427666666724).

The spelling of 423442422400 in words is "four hundred twenty-three billion, four hundred forty-two million, four hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1031 1600 2062 3200 4124 5155 8248 10310 16496 20620 25775 32992 41240 51550 65984 82480 103100 128347 131968 164960 206200 256694 329920 412400 513388 641735 659840 824800 1026776 1283470 1649600 2053552 2566940 3208675 3299200 4107104 5133880 6417350 8214208 10267760 12834700 16428416 20535520 25669400 41071040 51338800 82142080 102677600 132325757 205355200 264651514 410710400 529303028 661628785 1058606056 1323257570 2117212112 2646515140 3308143925 4234424224 5293030280 6616287850 8468848448 10586060560 13232575700 16937696896 21172121120 26465151400 42344242240 52930302800 84688484480 105860605600 211721211200 423442422400