Search a number
-
+
741485382000 = 243531167732297
BaseRepresentation
bin10101100101000111111…
…10010000100101110000
32121212220101120011021120
422302203332100211300
544122030224211000
61324344513022240
7104366461520046
oct12624376204560
92555811504246
10741485382000
1126650a193170
12bb855b54980
1354bca193c5c
1427c60c8c396
151444b19c6a0
hexaca3f90970

741485382000 has 640 divisors, whose sum is σ = 2684220484608. Its totient is φ = 174569472000.

The previous prime is 741485381971. The next prime is 741485382007. The reversal of 741485382000 is 283584147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741485382007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 322804852 + ... + 322807148.

Almost surely, 2741485382000 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 741485382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342110242304).

741485382000 is an abundant number, since it is smaller than the sum of its proper divisors (1942735102608).

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

741485382000 is a wasteful number, since it uses less digits than its factorization.

741485382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 741485382000 in words is "seven hundred forty-one billion, four hundred eighty-five million, three hundred eighty-two thousand".