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1942367285040 = 24357131761139617
BaseRepresentation
bin11100010000111110000…
…111001010111100110000
320212200120220201120210120
4130100332013022330300
5223310432011110130
64044151115530240
7260221446340020
oct34207607127460
96780526646716
101942367285040
11689831771046
1227453aa59980
1311121a3aa180
146a022581a80
15357d34dc910
hex1c43e1caf30

1942367285040 has 1280 divisors, whose sum is σ = 8045845032960. Its totient is φ = 376048189440.

The previous prime is 1942367285039. The next prime is 1942367285069. The reversal of 1942367285040 is 405827632491.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3148082812 + ... + 3148083428.

It is an arithmetic number, because the mean of its divisors is an integer number (6285816432).

It is a 1-persistent number, because it is pandigital, but 2⋅1942367285040 = 3884734570080 is not.

Almost surely, 21942367285040 is an apocalyptic number.

1942367285040 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 1942367285040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022922516480).

1942367285040 is an abundant number, since it is smaller than the sum of its proper divisors (6103477747920).

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

1942367285040 is a wasteful number, since it uses less digits than its factorization.

1942367285040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1942367285040 in words is "one trillion, nine hundred forty-two billion, three hundred sixty-seven million, two hundred eighty-five thousand, forty".