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141324302410011 = 3373531012850767
BaseRepresentation
bin100000001000100010100000…
…110101111110000100011011
3200112101110201121212100002000
4200020202200311332010123
5122010424132404110021
61220323253243412043
741524225650036000
oct4010424065760433
9615343647770060
10141324302410011
1141037333436806
1213a2571ab24023
1360b1a94666bb6
1426c81c03118a7
151151281c3ab26
hex8088a0d7e11b

141324302410011 has 128 divisors (see below), whose sum is σ = 251232482304000. Its totient is φ = 78448519094400.

The previous prime is 141324302409977. The next prime is 141324302410013. The reversal of 141324302410011 is 110014203423141.

It is a happy number.

141324302410011 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 243 + 0 + 2 + 410 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 141324302410011 - 242 = 136926255898907 is a prime.

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 (141324302410013) 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 127 ways as a sum of consecutive naturals, for example, 48148750 + ... + 50999516.

It is an arithmetic number, because the mean of its divisors is an integer number (1962753768000).

Almost surely, 2141324302410011 is an apocalyptic number.

141324302410011 is a deficient number, since it is larger than the sum of its proper divisors (109908179893989).

141324302410011 is a wasteful number, since it uses less digits than its factorization.

141324302410011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850951 (or 2850931 counting only the distinct ones).

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

Adding to 141324302410011 its reverse (110014203423141), we get a palindrome (251338505833152).

The spelling of 141324302410011 in words is "one hundred forty-one trillion, three hundred twenty-four billion, three hundred two million, four hundred ten thousand, eleven".

Divisors: 1 3 7 9 21 27 49 53 63 101 147 159 189 303 343 371 441 477 707 909 1029 1113 1323 1431 2121 2597 2727 3087 3339 4949 5353 6363 7791 9261 10017 14847 16059 18179 19089 23373 34643 37471 44541 48177 54537 70119 103929 112413 133623 144531 163611 262297 311787 337239 490833 786891 935361 1011717 1836079 2360673 2850767 5508237 7082019 8552301 16524711 19955369 25656903 49574133 59866107 76970709 139687583 151090651 179598321 287927467 419062749 453271953 538794963 863782401 977813081 1057634557 1257188247 1359815859 2015492269 2591347203 2933439243 3172903671 3771564741 4079447577 6046476807 7403441899 7774041609 8800317729 9518711013 14108445883 15260155751 18139430421 22210325697 26400953187 28556133039 42325337649 45780467253 51824093293 54418291263 66630977091 98759121181 106821090257 126976012947 137341401759 155472279879 199892931273 296277363543 320463270771 380928038841 412024205277 466416839637 747747631799 888832090629 961389812313 1399250518911 2243242895397 2666496271887 2884169436939 5234233422593 6729728686191 15702700267779 20189186058573 47108100803337 141324302410011