Search a number
-
+
43145994600 = 23345212912063
BaseRepresentation
bin101000001011101100…
…111010000101101000
311010100220210121210000
4220023230322011220
51201330333311400
631453200223000
73055124621502
oct501354720550
9133326717700
1043145994600
1117330875385
12844160aa60
1340b7a92827
142134338d72
1511c7cb8600
hexa0bb3a168

43145994600 has 240 divisors, whose sum is σ = 150041200320. Its totient is φ = 11491113600.

The previous prime is 43145994569. The next prime is 43145994629. The reversal of 43145994600 is 649954134.

43145994600 is a `hidden beast` number, since 4 + 3 + 14 + 599 + 46 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20913169 + ... + 20915231.

It is an arithmetic number, because the mean of its divisors is an integer number (625171668).

Almost surely, 243145994600 is an apocalyptic number.

43145994600 is a gapful number since it is divisible by the number (40) 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 43145994600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75020600160).

43145994600 is an abundant number, since it is smaller than the sum of its proper divisors (106895205720).

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

43145994600 is a wasteful number, since it uses less digits than its factorization.

43145994600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 43145994600 in words is "forty-three billion, one hundred forty-five million, nine hundred ninety-four thousand, six hundred".