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142445248000 = 2953113161107
BaseRepresentation
bin1000010010101001100…
…1011111111000000000
3111121200020212100101221
42010222121133320000
54313211440414000
6145234412004424
713201632426136
oct2045231377000
9447606770357
10142445248000
11554576a1160
1223734760714
13105813610c3
146c742a9756
153a8a73461a
hex212a65fe00

142445248000 has 640 divisors, whose sum is σ = 410342879232. Its totient is φ = 48844800000.

The previous prime is 142445247877. The next prime is 142445248003. The reversal of 142445248000 is 842544241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142445248003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1331263947 + ... + 1331264053.

Almost surely, 2142445248000 is an apocalyptic number.

142445248000 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 142445248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205171439616).

142445248000 is an abundant number, since it is smaller than the sum of its proper divisors (267897631232).

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

142445248000 is a wasteful number, since it uses less digits than its factorization.

142445248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 34.

The spelling of 142445248000 in words is "one hundred forty-two billion, four hundred forty-five million, two hundred forty-eight thousand".