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124002313143312 = 24329418713249367
BaseRepresentation
bin11100001100011110001001…
…110100111000010000010000
3121021001111122102001120222010
4130030132021310320100100
5112223123214131041222
61115421513133342520
735055604626452322
oct3414361164702020
9537044572046863
10124002313143312
11365690a404366a
1211aa858b937a40
1354264a251ca56
142289a5b69d612
15e508b872b80c
hex70c789d38410

124002313143312 has 160 divisors (see below), whose sum is σ = 339508387572480. Its totient is φ = 38930780528640.

The previous prime is 124002313143301. The next prime is 124002313143367. The reversal of 124002313143312 is 213341313200421.

It is a self number, because there is not a number n which added to its sum of digits gives 124002313143312.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 497143653 + ... + 497393019.

It is an arithmetic number, because the mean of its divisors is an integer number (2121927422328).

Almost surely, 2124002313143312 is an apocalyptic number.

124002313143312 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 124002313143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169754193786240).

124002313143312 is an abundant number, since it is smaller than the sum of its proper divisors (215506074429168).

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

124002313143312 is a wasteful number, since it uses less digits than its factorization.

124002313143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258161 (or 258155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 124002313143312 its reverse (213341313200421), we get a palindrome (337343626343733).

The spelling of 124002313143312 in words is "one hundred twenty-four trillion, two billion, three hundred thirteen million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2378 3567 4756 7134 8713 9512 14268 17426 19024 26139 28536 34852 52278 57072 69704 104556 139408 209112 249367 252677 357233 418224 498734 505354 714466 748101 758031 997468 1010708 1071699 1428932 1496202 1516062 1994936 2021416 2143398 2857864 2992404 3032124 3989872 4042832 4286796 5715728 5984808 6064248 7231643 8573592 10224047 10359757 11969616 12128496 14463286 17147184 20448094 20719514 21694929 28926572 30672141 31079271 40896188 41439028 43389858 57853144 61344282 62158542 81792376 82878056 86779716 115706288 122688564 124317084 163584752 165756112 173559432 245377128 248634168 296497363 347118864 490754256 497268336 592994726 889492089 1185989452 1778984178 2172734671 2371978904 3557968356 4345469342 4743957808 6518204013 7115936712 8690938684 13036408026 14231873424 17381877368 26072816052 34763754736 52145632104 63009305459 89082121511 104291264208 126018610918 178164243022 189027916377 252037221836 267246364533 356328486044 378055832754 504074443672 534492729066 712656972088 756111665508 1008148887344 1068985458132 1425313944176 1512223331016 2137970916264 2583381523819 3024446662032 4275941832528 5166763047638 7750144571457 10333526095276 15500289142914 20667052190552 31000578285828 41334104381104 62001156571656 124002313143312