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140340352000 = 210536171777
BaseRepresentation
bin1000001010110011101…
…1111101010000000000
3111102020120010112220211
42002230323331100000
54244404112231000
6144245500443504
713065523211122
oct2025473752000
9442216115824
10140340352000
1154577519692
1223247849594
131030724a904
146b14907212
1539b5a517ba
hex20acefd400

140340352000 has 176 divisors, whose sum is σ = 350883278928. Its totient is φ = 56013619200.

The previous prime is 140340351917. The next prime is 140340352069. The reversal of 140340352000 is 253043041.

It can be written as a sum of positive squares in 8 ways, for example, as 87388819456 + 52951532544 = 295616^2 + 230112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78975112 + ... + 78976888.

Almost surely, 2140340352000 is an apocalyptic number.

140340352000 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 140340352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175441639464).

140340352000 is an abundant number, since it is smaller than the sum of its proper divisors (210542926928).

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

140340352000 is an equidigital number, since it uses as much as digits as its factorization.

140340352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 140340352000 its reverse (253043041), we get a palindrome (140593395041).

The spelling of 140340352000 in words is "one hundred forty billion, three hundred forty million, three hundred fifty-two thousand".