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141201444121341 = 32329614127280303
BaseRepresentation
bin100000000110110000000101…
…111010110010101011111101
3200111221201121102022121122020
4200012300011322302223331
5122001421024143340331
61220151014204110353
741512316262566322
oct4006600572625375
9614851542277566
10141201444121341
1140a9a21810204a
1213a05951b353b9
1360a3315254576
1426c2287530b49
15114ce90d84c96
hex806c05eb2afd

141201444121341 has 64 divisors (see below), whose sum is σ = 206610867486720. Its totient is φ = 85490405763840.

The previous prime is 141201444121333. The next prime is 141201444121343. The reversal of 141201444121341 is 143121444102141.

It is a happy number.

It is not a de Polignac number, because 141201444121341 - 23 = 141201444121333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141201444121343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503605596 + ... + 503885898.

It is an arithmetic number, because the mean of its divisors is an integer number (3228294804480).

Almost surely, 2141201444121341 is an apocalyptic number.

It is an amenable number.

141201444121341 is a deficient number, since it is larger than the sum of its proper divisors (65409423365379).

141201444121341 is a wasteful number, since it uses less digits than its factorization.

141201444121341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284546.

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 141201444121341 its reverse (143121444102141), we get a palindrome (284322888223482).

The spelling of 141201444121341 in words is "one hundred forty-one trillion, two hundred one billion, four hundred forty-four million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 23 29 61 69 87 183 667 1403 1769 2001 4127 4209 5307 12381 40687 94921 119683 122061 251747 280303 284763 359049 755241 840909 2752709 5790181 6446969 7300663 8128787 8258127 17098483 17370543 19340907 21901989 24386361 51295449 167915249 186962101 393265109 495856007 503745747 560886303 1156810481 1179795327 1487568021 3470431443 11404688161 26606641063 33547503949 34214064483 70565439341 79819923189 100642511847 211696318023 771592590827 1623005104843 2046397740889 2314777772481 4869015314529 6139193222667 47067148040447 141201444121341