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142234400000 = 28557112309
BaseRepresentation
bin1000010001110111010…
…1001011010100000000
3111121010120010011022202
42010131311023110000
54312244001300000
6145201440452332
713163462311010
oct2043565132400
9447116104282
10142234400000
1155359679a10
122369601a0a8
1310549779284
146c542a1c40
153a76e85dd5
hex211dd4b500

142234400000 has 432 divisors, whose sum is σ = 442625420160. Its totient is φ = 44313600000.

The previous prime is 142234399973. The next prime is 142234400017. The reversal of 142234400000 is 4432241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61598846 + ... + 61601154.

It is an arithmetic number, because the mean of its divisors is an integer number (1024595880).

Almost surely, 2142234400000 is an apocalyptic number.

142234400000 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 142234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221312710080).

142234400000 is an abundant number, since it is smaller than the sum of its proper divisors (300391020160).

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

142234400000 is an frugal number, since it uses more digits than its factorization.

142234400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 142234400000 its reverse (4432241), we get a palindrome (142238832241).

The spelling of 142234400000 in words is "one hundred forty-two billion, two hundred thirty-four million, four hundred thousand".