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1942239723840 = 26325131719279107
BaseRepresentation
bin11100010000110110100…
…000100100000101000000
320212200021000200210201200
4130100312200210011000
5223310201332130330
64044130321501200
7260215340154333
oct34206640440500
96780230623650
101942239723840
11689776765469
122745041a1800
131111c9b36780
146a00d65861a
15357c71e1a60
hex1c436824140

1942239723840 has 2016 divisors, whose sum is σ = 8217459694080. Its totient is φ = 416954843136.

The previous prime is 1942239723839. The next prime is 1942239723863. The reversal of 1942239723840 is 483279322491.

It is a happy number.

1942239723840 is a `hidden beast` number, since 19 + 4 + 2 + 2 + 397 + 238 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18151773067 + ... + 18151773173.

It is an arithmetic number, because the mean of its divisors is an integer number (4076120880).

Almost surely, 21942239723840 is an apocalyptic number.

1942239723840 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 1942239723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108729847040).

1942239723840 is an abundant number, since it is smaller than the sum of its proper divisors (6275219970240).

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

1942239723840 is a wasteful number, since it uses less digits than its factorization.

1942239723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1942239723840 in words is "one trillion, nine hundred forty-two billion, two hundred thirty-nine million, seven hundred twenty-three thousand, eight hundred forty".