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374422112240 = 2451119414711621
BaseRepresentation
bin1010111001011010100…
…11000000011111110000
31022210110010021001012112
411130231103000133300
522113304030042430
6444001313144452
736023346304451
oct5345523003760
91283403231175
10374422112240
11134878580790
126069525b128
132940047bc07
141419d18b128
159b16125195
hex572d4c07f0

374422112240 has 320 divisors, whose sum is σ = 1045913057280. Its totient is φ = 123153408000.

The previous prime is 374422112209. The next prime is 374422112293. The reversal of 374422112240 is 42211224473.

It is a junction number, because it is equal to n+sod(n) for n = 374422112197 and 374422112206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32213630 + ... + 32225250.

It is an arithmetic number, because the mean of its divisors is an integer number (3268478304).

Almost surely, 2374422112240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374422112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522956528640).

374422112240 is an abundant number, since it is smaller than the sum of its proper divisors (671490945040).

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

374422112240 is a wasteful number, since it uses less digits than its factorization.

374422112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11752 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 374422112240 in words is "three hundred seventy-four billion, four hundred twenty-two million, one hundred twelve thousand, two hundred forty".