Search a number
-
+
323004540540000 = 25354113471410377
BaseRepresentation
bin100100101110001010101101…
…0111001100101010001100000
31120100122221011210111200220010
41021130111122321211101200
5314314101244334240000
63102550123141244520
7125015210424644034
oct11134253271452140
91510587153450803
10323004540540000
1193a12502473130
123028853b103740
1310b30274b177b7
1459a9708a0a1c4
152752151883d50
hex125c55ae65460

323004540540000 has 480 divisors, whose sum is σ = 1159171219172736. Its totient is φ = 78078415360000.

The previous prime is 323004540539977. The next prime is 323004540540001. The reversal of 323004540540000 is 45045400323.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 323004540540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323004540540001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 228314812 + ... + 229725188.

Almost surely, 2323004540540000 is an apocalyptic number.

323004540540000 is a gapful number since it is divisible by the number (30) 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 323004540540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579585609586368).

323004540540000 is an abundant number, since it is smaller than the sum of its proper divisors (836166678632736).

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

323004540540000 is a wasteful number, since it uses less digits than its factorization.

323004540540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410768 (or 1410745 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 323004540540000 its reverse (45045400323), we get a palindrome (323049585940323).

The spelling of 323004540540000 in words is "three hundred twenty-three trillion, four billion, five hundred forty million, five hundred forty thousand".