Search a number
-
+
333110142420 = 2235111741724121
BaseRepresentation
bin1001101100011101110…
…10010110010111010100
31011211211000111112110020
410312032322112113110
520424202144024140
6413010110225140
733031531330656
oct4661672262724
91154730445406
10333110142420
111192a8a9a370
1254685ab51b0
1325548660363
14121a06646d6
1589e93866d0
hex4d8ee965d4

333110142420 has 192 divisors, whose sum is σ = 1103631443712. Its totient is φ = 74149888000.

The previous prime is 333110142413. The next prime is 333110142467. The reversal of 333110142420 is 24241011333.

It is a happy number.

It is a super-2 number, since 2×3331101424202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97960 + ... + 822080.

It is an arithmetic number, because the mean of its divisors is an integer number (5748080436).

Almost surely, 2333110142420 is an apocalyptic number.

333110142420 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 333110142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551815721856).

333110142420 is an abundant number, since it is smaller than the sum of its proper divisors (770521301292).

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

333110142420 is a wasteful number, since it uses less digits than its factorization.

333110142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724202 (or 724200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 333110142420 its reverse (24241011333), we get a palindrome (357351153753).

The spelling of 333110142420 in words is "three hundred thirty-three billion, one hundred ten million, one hundred forty-two thousand, four hundred twenty".