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42466740000 = 253542330773
BaseRepresentation
bin100111100011001101…
…110000011100100000
311001121120122220122020
4213203031300130200
51143432441140000
631301533341440
73032236222416
oct474315603440
9131546586566
1042466740000
1117012405343
128292037880
13400a137c29
1420ac0412b6
151188342ba0
hex9e3370720

42466740000 has 240 divisors, whose sum is σ = 145360619712. Its totient is φ = 10831744000.

The previous prime is 42466739989. The next prime is 42466740011. The reversal of 42466740000 is 4766424.

It is an interprime number because it is at equal distance from previous prime (42466739989) and next prime (42466740011).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1364614 + ... + 1395386.

Almost surely, 242466740000 is an apocalyptic number.

42466740000 is a gapful number since it is divisible by the number (40) 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 42466740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72680309856).

42466740000 is an abundant number, since it is smaller than the sum of its proper divisors (102893879712).

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

42466740000 is a wasteful number, since it uses less digits than its factorization.

42466740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30829 (or 30806 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 42466740000 in words is "forty-two billion, four hundred sixty-six million, seven hundred forty thousand".