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142934400000 = 21032557709
BaseRepresentation
bin1000010100011110001…
…1011101110000000000
3111122221100021211210200
42011013203131300000
54320212201300000
6145355124125200
713220022232230
oct2050743356000
9448840254720
10142934400000
1155688819307
1223850536800
131062b7b8662
146cbd239cc0
153ab8658500
hex21478ddc00

142934400000 has 792 divisors, whose sum is σ = 590393774880. Its totient is φ = 32624640000.

The previous prime is 142934399989. The next prime is 142934400001. The reversal of 142934400000 is 4439241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142934400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201599646 + ... + 201600354.

Almost surely, 2142934400000 is an apocalyptic number.

142934400000 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 142934400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295196887440).

142934400000 is an abundant number, since it is smaller than the sum of its proper divisors (447459374880).

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

142934400000 is an frugal number, since it uses more digits than its factorization.

142934400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 142934400000 its reverse (4439241), we get a palindrome (142938839241).

The spelling of 142934400000 in words is "one hundred forty-two billion, nine hundred thirty-four million, four hundred thousand".