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142311430400 = 285267331883
BaseRepresentation
bin1000010010001001101…
…1000001100100000000
3111121022221001201011112
42010202123001210000
54312423211233100
6145213231502452
713165416125306
oct2044233014400
9447287051145
10142311430400
1155399101aa7
12236b7987a28
131055c709aa9
146c605d4276
153a7daeeb35
hex21226c1900

142311430400 has 108 divisors (see below), whose sum is σ = 357501462192. Its totient is φ = 56074782720.

The previous prime is 142311430367. The next prime is 142311430403. The reversal of 142311430400 is 4034113241.

It is not an unprimeable number, because it can be changed into a prime (142311430403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262859 + ... + 594741.

It is an arithmetic number, because the mean of its divisors is an integer number (3310198724).

Almost surely, 2142311430400 is an apocalyptic number.

142311430400 is a gapful number since it is divisible by the number (10) 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 142311430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178750731096).

142311430400 is an abundant number, since it is smaller than the sum of its proper divisors (215190031792).

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

142311430400 is an equidigital number, since it uses as much as digits as its factorization.

142311430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331976 (or 331957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 142311430400 its reverse (4034113241), we get a palindrome (146345543641).

The spelling of 142311430400 in words is "one hundred forty-two billion, three hundred eleven million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 128 134 160 200 256 268 320 335 400 536 640 670 800 1072 1280 1340 1600 1675 2144 2680 3200 3350 4288 5360 6400 6700 8576 10720 13400 17152 21440 26800 42880 53600 85760 107200 214400 331883 428800 663766 1327532 1659415 2655064 3318830 5310128 6637660 8297075 10620256 13275320 16594150 21240512 22236161 26550640 33188300 42481024 44472322 53101280 66376600 84962048 88944644 106202560 111180805 132753200 177889288 212405120 222361610 265506400 355778576 424810240 444723220 531012800 555904025 711557152 889446440 1062025600 1111808050 1423114304 1778892880 2124051200 2223616100 2846228608 3557785760 4447232200 5692457216 7115571520 8894464400 14231143040 17788928800 28462286080 35577857600 71155715200 142311430400