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114144021304 = 23611093536079
BaseRepresentation
bin110101001001110000…
…0111000101100111000
3101220121220010001220121
41222103200320230320
53332231332140204
6124234222303024
711150411113135
oct1522340705470
9356556101817
10114144021304
1144454362705
121a156727a74
13a9c0c06111
14574b70758c
152e80d1ab54
hex1a93838b38

114144021304 has 64 divisors (see below), whose sum is σ = 220182336000. Its totient is φ = 55454699520.

The previous prime is 114144021301. The next prime is 114144021323. The reversal of 114144021304 is 403120441411.

114144021304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114144021301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18773737 + ... + 18779815.

It is an arithmetic number, because the mean of its divisors is an integer number (3440349000).

Almost surely, 2114144021304 is an apocalyptic number.

It is an amenable number.

114144021304 is a deficient number, since it is larger than the sum of its proper divisors (106038314696).

114144021304 is a wasteful number, since it uses less digits than its factorization.

114144021304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6608 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 114144021304 its reverse (403120441411), we get a palindrome (517264462715).

The spelling of 114144021304 in words is "one hundred fourteen billion, one hundred forty-four million, twenty-one thousand, three hundred four".

Divisors: 1 2 4 8 61 109 122 218 244 353 436 488 706 872 1412 2824 6079 6649 12158 13298 21533 24316 26596 38477 43066 48632 53192 76954 86132 153908 172264 307816 370819 662611 741638 1325222 1483276 2145887 2347097 2650444 2966552 4291774 4694194 5300888 8583548 9388388 17167096 18776776 40419271 80838542 130899107 161677084 233901683 261798214 323354168 467803366 523596428 935606732 1047192856 1871213464 14268002663 28536005326 57072010652 114144021304