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124144131312 = 24321947965411
BaseRepresentation
bin111001110011110010…
…0010001110011110000
3102212102211002021221100
41303213210101303300
54013221344200222
6133010411324400
711653256463615
oct1634744216360
9385384067840
10124144131312
1148716142333
1220087750700
13b925931686
14601989850c
153368beb4ac
hex1ce7911cf0

124144131312 has 120 divisors (see below), whose sum is σ = 373498594560. Its totient is φ = 38369255040.

The previous prime is 124144131301. The next prime is 124144131317. The reversal of 124144131312 is 213131441421.

It is a happy number.

124144131312 is a `hidden beast` number, since 1 + 241 + 4 + 413 + 1 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×1241441313122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124144131317) 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 23 ways as a sum of consecutive naturals, for example, 354114 + ... + 611297.

It is an arithmetic number, because the mean of its divisors is an integer number (3112488288).

Almost surely, 2124144131312 is an apocalyptic number.

124144131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124144131312 is an abundant number, since it is smaller than the sum of its proper divisors (249354463248).

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

124144131312 is a wasteful number, since it uses less digits than its factorization.

124144131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965491 (or 965482 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 124144131312 its reverse (213131441421), we get a palindrome (337275572733).

The spelling of 124144131312 in words is "one hundred twenty-four billion, one hundred forty-four million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 47 48 57 72 76 94 114 141 144 152 171 188 228 282 304 342 376 423 456 564 684 752 846 893 912 1128 1368 1692 1786 2256 2679 2736 3384 3572 5358 6768 7144 8037 10716 14288 16074 21432 32148 42864 64296 128592 965411 1930822 2896233 3861644 5792466 7723288 8688699 11584932 15446576 17377398 18342809 23169864 34754796 36685618 45374317 46339728 55028427 69509592 73371236 90748634 110056854 136122951 139019184 146742472 165085281 181497268 220113708 272245902 293484944 330170562 362994536 408368853 440227416 544491804 660341124 725989072 816737706 862112023 880454832 1088983608 1320682248 1633475412 1724224046 2177967216 2586336069 2641364496 3266950824 3448448092 5172672138 6533901648 6896896184 7759008207 10345344276 13793792368 15518016414 20690688552 31036032828 41381377104 62072065656 124144131312