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124423242444 = 223229535938113
BaseRepresentation
bin111001111100000110…
…1000000001011001100
3102220011021021121102200
41303320031000023030
54014304322224234
6133054221521500
711663216052654
oct1637015001314
9386137247380
10124423242444
1148849749696
1220145113290
13b96b6c75a7
146044991364
153383480d99
hex1cf83402cc

124423242444 has 144 divisors (see below), whose sum is σ = 337125952800. Its totient is φ = 38621786112.

The previous prime is 124423242421. The next prime is 124423242491. The reversal of 124423242444 is 444242324421.

124423242444 is a `hidden beast` number, since 124 + 42 + 32 + 424 + 44 = 666.

124423242444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1244232424442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 124423242399 and 124423242408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245532 + ... + 3283644.

It is an arithmetic number, because the mean of its divisors is an integer number (2341152450).

Almost surely, 2124423242444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124423242444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168562976400).

124423242444 is an abundant number, since it is smaller than the sum of its proper divisors (212702710356).

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

124423242444 is a wasteful number, since it uses less digits than its factorization.

124423242444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38264 (or 38259 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 124423242444 its reverse (444242324421), we get a palindrome (568665566865).

The spelling of 124423242444 in words is "one hundred twenty-four billion, four hundred twenty-three million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 59 87 106 116 118 159 174 177 212 236 261 318 348 354 477 522 531 636 708 954 1044 1062 1537 1711 1908 2124 3074 3127 3422 4611 5133 6148 6254 6844 9222 9381 10266 12508 13833 15399 18444 18762 20532 27666 28143 30798 37524 38113 55332 56286 61596 76226 90683 112572 114339 152452 181366 228678 272049 343017 362732 457356 544098 686034 816147 1088196 1105277 1372068 1632294 2019989 2210554 2248667 3264588 3315831 4039978 4421108 4497334 6059967 6631662 6746001 8079956 8994668 9947493 12119934 13263324 13492002 18179901 19894986 20238003 24239868 26984004 36359802 39789972 40476006 58579681 65211343 72719604 80952012 117159362 119179351 130422686 175739043 195634029 234318724 238358702 260845372 351478086 357538053 391268058 476717404 527217129 586902087 702956172 715076106 782536116 1054434258 1072614159 1173804174 1430152212 2108868516 2145228318 2347608348 3456201179 4290456636 6912402358 10368603537 13824804716 20737207074 31105810611 41474414148 62211621222 124423242444