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142352210000 = 24547111314221
BaseRepresentation
bin1000010010010011011…
…0100101100001010000
3111121102202210112021002
42010210312211201100
54313014131210000
6145221245521132
713166422551260
oct2044466454120
9447382715232
10142352210000
115540a125350
12237095731a8
1310567cb7430
146c65bab7a0
153a824a78d5
hex2124da5850

142352210000 has 400 divisors, whose sum is σ = 462777963648. Its totient is φ = 40953600000.

The previous prime is 142352209969. The next prime is 142352210027. The reversal of 142352210000 is 12253241.

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 10002890 + ... + 10017110.

Almost surely, 2142352210000 is an apocalyptic number.

142352210000 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 142352210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231388981824).

142352210000 is an abundant number, since it is smaller than the sum of its proper divisors (320425753648).

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

142352210000 is a wasteful number, since it uses less digits than its factorization.

142352210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 142352210000 its reverse (12253241), we get a palindrome (142364463241).

The spelling of 142352210000 in words is "one hundred forty-two billion, three hundred fifty-two million, two hundred ten thousand".