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3040341732126 = 23323315310913669
BaseRepresentation
bin101100001111100010011…
…111010010101100011110
3101202122122122100121022000
4230033202133102230132
5344303104440412001
610244414054503130
7432441334215336
oct54174237225436
911678578317260
103040341732126
11a72446712166
124112a4364aa6
1319091a63230a
14a7220a1c0c6
155414622ea86
hex2c3e27d2b1e

3040341732126 has 256 divisors, whose sum is σ = 7483373568000. Its totient is φ = 911902717440.

The previous prime is 3040341732053. The next prime is 3040341732137. The reversal of 3040341732126 is 6212371430403.

3040341732126 is a `hidden beast` number, since 30 + 4 + 0 + 341 + 73 + 212 + 6 = 666.

It is a super-3 number, since 3×30403417321263 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222419220 + ... + 222432888.

It is an arithmetic number, because the mean of its divisors is an integer number (29231928000).

Almost surely, 23040341732126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040341732126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741686784000).

3040341732126 is an abundant number, since it is smaller than the sum of its proper divisors (4443031835874).

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

3040341732126 is a wasteful number, since it uses less digits than its factorization.

3040341732126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13896 (or 13890 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3040341732126 in words is "three trillion, forty billion, three hundred forty-one million, seven hundred thirty-two thousand, one hundred twenty-six".