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142693488000 = 27355373107
BaseRepresentation
bin1000010011100100110…
…0011101010110000000
3111122022112222020200000
42010321030131112000
54314214013104000
6145315200400000
713211035431000
oct2047114352600
9448275866600
10142693488000
1155574832588
12237a3916000
13105c090868b
146c99248000
153aa241c000
hex213931d580

142693488000 has 1536 divisors, whose sum is σ = 625532544000. Its totient is φ = 32310835200.

The previous prime is 142693487999. The next prime is 142693488019. The reversal of 142693488000 is 884396241.

It is a happy number.

It is a super-2 number, since 2×1426934880002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333583947 + ... + 1333584053.

It is an arithmetic number, because the mean of its divisors is an integer number (407247750).

Almost surely, 2142693488000 is an apocalyptic number.

142693488000 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 142693488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312766272000).

142693488000 is an abundant number, since it is smaller than the sum of its proper divisors (482839056000).

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

142693488000 is an frugal number, since it uses more digits than its factorization.

142693488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 142693488000 in words is "one hundred forty-two billion, six hundred ninety-three million, four hundred eighty-eight thousand".