Search a number
-
+
94144770720 = 25355711134159
BaseRepresentation
bin101011110101101110…
…1110011001010100000
3100000000002222212200000
41113223131303022200
53020302030130340
6111125521100000
76541665230130
oct1275335631240
9300002885600
1094144770720
1136a212a5740
12162b4a87600
138b54731630
1447b1578ac0
1526b019bd30
hex15eb7732a0

94144770720 has 2304 divisors, whose sum is σ = 466007592960. Its totient is φ = 17318707200.

The previous prime is 94144770701. The next prime is 94144770721. The reversal of 94144770720 is 2707744149.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (94144770721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1595674051 + ... + 1595674109.

It is an arithmetic number, because the mean of its divisors is an integer number (202260240).

Almost surely, 294144770720 is an apocalyptic number.

94144770720 is a gapful number since it is divisible by the number (90) 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 94144770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233003796480).

94144770720 is an abundant number, since it is smaller than the sum of its proper divisors (371862822240).

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

94144770720 is a wasteful number, since it uses less digits than its factorization.

94144770720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 94144770720 in words is "ninety-four billion, one hundred forty-four million, seven hundred seventy thousand, seven hundred twenty".