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123140601432 = 23338317339703
BaseRepresentation
bin111001010101111000…
…0000111011001011000
3102202211212202200202000
41302223300013121120
54004142443221212
6132323042241000
711616352561542
oct1625360073130
9382755680660
10123140601432
11482507284a2
121ba47656160
13b7c5a59904
145d624ac692
15330aa6e1dc
hex1cabc07658

123140601432 has 128 divisors (see below), whose sum is σ = 348188198400. Its totient is φ = 40316904576.

The previous prime is 123140601391. The next prime is 123140601443. The reversal of 123140601432 is 234106041321.

It is a happy number.

123140601432 is a `hidden beast` number, since 1 + 2 + 3 + 14 + 0 + 601 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 123140601396 and 123140601405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3081693 + ... + 3121395.

It is an arithmetic number, because the mean of its divisors is an integer number (2720220300).

Almost surely, 2123140601432 is an apocalyptic number.

123140601432 is a gapful number since it is divisible by the number (12) 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 123140601432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174094099200).

123140601432 is an abundant number, since it is smaller than the sum of its proper divisors (225047596968).

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

123140601432 is a wasteful number, since it uses less digits than its factorization.

123140601432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39974 (or 39964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 123140601432 its reverse (234106041321), we get a palindrome (357246642753).

The spelling of 123140601432 in words is "one hundred twenty-three billion, one hundred forty million, six hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 173 216 249 332 346 498 519 664 692 747 996 1038 1384 1494 1557 1992 2076 2241 2988 3114 4152 4482 4671 5976 6228 8964 9342 12456 14359 17928 18684 28718 37368 39703 43077 57436 79406 86154 114872 119109 129231 158812 172308 238218 258462 317624 344616 357327 387693 476436 516924 714654 775386 952872 1033848 1071981 1429308 1550772 2143962 2858616 3101544 3295349 4287924 6590698 6868619 8575848 9886047 13181396 13737238 19772094 20605857 26362792 27474476 29658141 39544188 41211714 54948952 59316282 61817571 79088376 82423428 88974423 118632564 123635142 164846856 177948846 185452713 237265128 247270284 355897692 370905426 494540568 570095377 711795384 741810852 1140190754 1483621704 1710286131 2280381508 3420572262 4560763016 5130858393 6841144524 10261716786 13682289048 15392575179 20523433572 30785150358 41046867144 61570300716 123140601432