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124323240420 = 22345269285289
BaseRepresentation
bin111001111001000111…
…1100001100111100100
3102212220022002222110000
41303302033201213210
54014103222143140
6133040250301300
711660563051611
oct1636217414744
9385808088400
10124323240420
11487a8256695
1220117727830
13b953a82bb2
14603559d508
1533797caa30
hex1cf23e19e4

124323240420 has 120 divisors (see below), whose sum is σ = 391457820600. Its totient is φ = 33029503488.

The previous prime is 124323240409. The next prime is 124323240421. The reversal of 124323240420 is 24042323421.

124323240420 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 232 + 4 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2332310436 + 121990929984 = 48294^2 + 349272^2 .

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

It is not an unprimeable number, because it can be changed into a prime (124323240421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293136 + ... + 578424.

It is an arithmetic number, because the mean of its divisors is an integer number (3262148505).

Almost surely, 2124323240420 is an apocalyptic number.

124323240420 is a gapful number since it is divisible by the number (10) 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 124323240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195728910300).

124323240420 is an abundant number, since it is smaller than the sum of its proper divisors (267134580180).

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

124323240420 is a wasteful number, since it uses less digits than its factorization.

124323240420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285579 (or 285568 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 124323240420 its reverse (24042323421), we get a palindrome (148365563841).

The spelling of 124323240420 in words is "one hundred twenty-four billion, three hundred twenty-three million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 269 270 324 405 538 540 807 810 1076 1345 1614 1620 2421 2690 3228 4035 4842 5380 7263 8070 9684 12105 14526 16140 21789 24210 29052 36315 43578 48420 72630 87156 108945 145260 217890 285289 435780 570578 855867 1141156 1426445 1711734 2567601 2852890 3423468 4279335 5135202 5705780 7702803 8558670 10270404 12838005 15405606 17117340 23108409 25676010 30811212 38514015 46216818 51352020 76742741 77028030 92433636 115542045 153485482 154056060 230228223 231084090 306970964 383713705 460456446 462168180 690684669 767427410 920912892 1151141115 1381369338 1534854820 2072054007 2302282230 2762738676 3453423345 4144108014 4604564460 6216162021 6906846690 8288216028 10360270035 12432324042 13813693380 20720540070 24864648084 31080810105 41441080140 62161620210 124323240420