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124131042224 = 2472311509101
BaseRepresentation
bin111001110011011001…
…0010110001110110000
3102212101220110022002022
41303212302112032300
54013210021322344
6133005223011012
711653040310200
oct1634662261660
9385356408068
10124131042224
1148709812302
1220083299a68
13b922ccaa57
146017c4c400
1533679b30ee
hex1ce6c963b0

124131042224 has 60 divisors (see below), whose sum is σ = 280669969008. Its totient is φ = 53027856000.

The previous prime is 124131042223. The next prime is 124131042247. The reversal of 124131042224 is 422240131421.

It is a junction number, because it is equal to n+sod(n) for n = 124131042193 and 124131042202.

It is not an unprimeable number, because it can be changed into a prime (124131042223) 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 11 ways as a sum of consecutive naturals, for example, 10727 + ... + 498374.

Almost surely, 2124131042224 is an apocalyptic number.

124131042224 is a gapful number since it is divisible by the number (14) 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 124131042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140334984504).

124131042224 is an abundant number, since it is smaller than the sum of its proper divisors (156538926784).

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

124131042224 is a wasteful number, since it uses less digits than its factorization.

124131042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509434 (or 509421 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 124131042224 its reverse (422240131421), we get a palindrome (546371173645).

The spelling of 124131042224 in words is "one hundred twenty-four billion, one hundred thirty-one million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 311 392 622 784 1244 2177 2488 4354 4976 8708 15239 17416 30478 34832 60956 121912 243824 509101 1018202 2036404 3563707 4072808 7127414 8145616 14254828 24945949 28509656 49891898 57019312 99783796 158330411 199567592 316660822 399135184 633321644 1108312877 1266643288 2216625754 2533286576 4433251508 7758190139 8866503016 15516380278 17733006032 31032760556 62065521112 124131042224