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42124113312 = 253438792847
BaseRepresentation
bin100111001110110010…
…101111010110100000
311000201200221200011220
4213032302233112200
51142232233111222
631203533535040
73020606024661
oct471662572640
9130650850156
1042124113312
1116956a66896
1281b7344480
133c84163b48
142078733368
151168213b5c
hex9cecaf5a0

42124113312 has 24 divisors (see below), whose sum is σ = 110575797696. Its totient is φ = 14041371072.

The previous prime is 42124113307. The next prime is 42124113319. The reversal of 42124113312 is 21331142124.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42124113319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219396328 + ... + 219396519.

It is an arithmetic number, because the mean of its divisors is an integer number (4607324904).

Almost surely, 242124113312 is an apocalyptic number.

It is an amenable number.

42124113312 is an abundant number, since it is smaller than the sum of its proper divisors (68451684384).

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

42124113312 is a wasteful number, since it uses less digits than its factorization.

42124113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438792860 (or 438792852 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 42124113312 its reverse (21331142124), we get a palindrome (63455255436).

The spelling of 42124113312 in words is "forty-two billion, one hundred twenty-four million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 438792847 877585694 1316378541 1755171388 2632757082 3510342776 5265514164 7020685552 10531028328 14041371104 21062056656 42124113312