Search a number
-
+
332442411223104 = 26337132114128073
BaseRepresentation
bin100101110010110101100011…
…1110101000100100001000000
31121121002011222020020221002000
41023211223013311010201000
5322033214024233114404
63135013534012224000
7130011112601055210
oct11345530765044100
91547064866227060
10332442411223104
1196a2104241a366
1231351696a6b000
13113662531b4140
145c14427344240
1528678cb537339
hex12e5ac7d44840

332442411223104 has 224 divisors, whose sum is σ = 1202854308983040. Its totient is φ = 87677119401984.

The previous prime is 332442411223067. The next prime is 332442411223121. The reversal of 332442411223104 is 401322114244233.

332442411223104 is a `hidden beast` number, since 3 + 3 + 2 + 4 + 4 + 2 + 411 + 2 + 231 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3324424112231042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056906789 + ... + 1057221284.

It is an arithmetic number, because the mean of its divisors is an integer number (5369885307960).

Almost surely, 2332442411223104 is an apocalyptic number.

It is an amenable number.

332442411223104 is an abundant number, since it is smaller than the sum of its proper divisors (870411897759936).

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

332442411223104 is a wasteful number, since it uses less digits than its factorization.

332442411223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114128114 (or 2114128098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 332442411223104 its reverse (401322114244233), we get a palindrome (733764525467337).

The spelling of 332442411223104 in words is "three hundred thirty-two trillion, four hundred forty-two billion, four hundred eleven million, two hundred twenty-three thousand, one hundred four".