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4124212232140 = 225711131811138147
BaseRepresentation
bin111100000000111110001…
…101000111111111001100
3112121021022102220212122101
4330000332031013333030
51020032341312412030
612434345325124444
7603651552363520
oct74007615077714
915537272825571
104124212232140
111350083318080
125673723b9724
1323bbb0882350
14103881c83d80
1572430b597ca
hex3c03e347fcc

4124212232140 has 192 divisors, whose sum is σ = 11692804451328. Its totient is φ = 1180029772800.

The previous prime is 4124212232137. The next prime is 4124212232149. The reversal of 4124212232140 is 412322124214.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4124212232099 and 4124212232108.

It is not an unprimeable number, because it can be changed into a prime (4124212232149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3054547 + ... + 4192693.

It is an arithmetic number, because the mean of its divisors is an integer number (60900023184).

Almost surely, 24124212232140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124212232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846402225664).

4124212232140 is an abundant number, since it is smaller than the sum of its proper divisors (7568592219188).

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

4124212232140 is a wasteful number, since it uses less digits than its factorization.

4124212232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138368 (or 1138366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4124212232140 its reverse (412322124214), we get a palindrome (4536534356354).

The spelling of 4124212232140 in words is "four trillion, one hundred twenty-four billion, two hundred twelve million, two hundred thirty-two thousand, one hundred forty".