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5942214144 = 29322953839
BaseRepresentation
bin1011000100010111…
…01111111000000000
3120100010022202101100
411202023233320000
544132201323034
62421350134400
7300152662326
oct54213577000
916303282340
105942214144
11257a252489
12119a051400
13739115859
14405289d16
1524ba21099
hex1622efe00

5942214144 has 240 divisors, whose sum is σ = 18097279200. Its totient is φ = 1874116608.

The previous prime is 5942214067. The next prime is 5942214149. The reversal of 5942214144 is 4414122495.

5942214144 is a `hidden beast` number, since 59 + 422 + 141 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5942214099 and 5942214108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5942214149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7082077 + ... + 7082915.

It is an arithmetic number, because the mean of its divisors is an integer number (75405330).

Almost surely, 25942214144 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 5942214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9048639600).

5942214144 is an abundant number, since it is smaller than the sum of its proper divisors (12155065056).

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

5942214144 is a wasteful number, since it uses less digits than its factorization.

5942214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 926 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5942214144 is about 77085.7583733857. The cubic root of 5942214144 is about 1811.2682161208.

The spelling of 5942214144 in words is "five billion, nine hundred forty-two million, two hundred fourteen thousand, one hundred forty-four".