Search a number
-
+
124252346430 = 232529223213481
BaseRepresentation
bin111001110111000000…
…1000101100000111110
3102212201100201012011200
41303232001011200332
54013432100041210
6133025235000330
711656042342602
oct1635601054076
9385640635150
10124252346430
1148771234a13
12200b7a390a6
13b9421904a4
146029dc7502
1533734750c0
hex1cee04583e

124252346430 has 96 divisors (see below), whose sum is σ = 335696175360. Its totient is φ = 31847800320.

The previous prime is 124252346423. The next prime is 124252346437. The reversal of 124252346430 is 34643252421.

124252346430 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 5 + 2 + 3 + 4 + 643 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (124252346423) and next prime (124252346437).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124252346437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475290 + ... + 688770.

It is an arithmetic number, because the mean of its divisors is an integer number (3496835160).

Almost surely, 2124252346430 is an apocalyptic number.

124252346430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124252346430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167848087680).

124252346430 is an abundant number, since it is smaller than the sum of its proper divisors (211443828930).

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

124252346430 is a wasteful number, since it uses less digits than its factorization.

124252346430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213746 (or 213743 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 124252346430 its reverse (34643252421), we get a palindrome (158895598851).

The spelling of 124252346430 in words is "one hundred twenty-four billion, two hundred fifty-two million, three hundred forty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 223 261 290 435 446 522 669 870 1115 1305 1338 2007 2230 2610 3345 4014 6467 6690 10035 12934 19401 20070 32335 38802 58203 64670 97005 116406 194010 213481 291015 426962 582030 640443 1067405 1280886 1921329 2134810 3202215 3842658 6190949 6404430 9606645 12381898 18572847 19213290 30954745 37145694 47606263 55718541 61909490 92864235 95212526 111437082 142818789 185728470 238031315 278592705 285637578 428456367 476062630 557185410 714093945 856912734 1380581627 1428187890 2142281835 2761163254 4141744881 4284563670 6902908135 8283489762 12425234643 13805816270 20708724405 24850469286 41417448810 62126173215 124252346430