Search a number
-
+
323145189108 = 223271926753017
BaseRepresentation
bin1001011001111001111…
…01000100011011110100
31010220002112200110100100
410230330331010123310
520243300132022413
6404241214514100
732226560533650
oct4547475043364
91126075613310
10323145189108
11115055042465
1252764805930
132461acc3c91
14118d7025a60
1586145eca73
hex4b3cf446f4

323145189108 has 216 divisors, whose sum is σ = 999973770432. Its totient is φ = 86160754944.

The previous prime is 323145189053. The next prime is 323145189121. The reversal of 323145189108 is 801981541323.

323145189108 is a `hidden beast` number, since 3 + 23 + 1 + 4 + 518 + 9 + 108 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6068616 + ... + 6121632.

Almost surely, 2323145189108 is an apocalyptic number.

323145189108 is a gapful number since it is divisible by the number (38) 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 323145189108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499986885216).

323145189108 is an abundant number, since it is smaller than the sum of its proper divisors (676828581324).

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

323145189108 is a wasteful number, since it uses less digits than its factorization.

323145189108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53139 (or 53115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 323145189108 in words is "three hundred twenty-three billion, one hundred forty-five million, one hundred eighty-nine thousand, one hundred eight".