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141420323331 = 337109127191283
BaseRepresentation
bin1000001110110101001…
…1101110001000000011
3111112000211021210002000
42003231103232020003
54304112100321311
6144545000155043
713134345625440
oct2035523561003
9445024253060
10141420323331
1154a810a4081
12234a9468a83
1310449c080c1
146bb81109c7
153a2a77d056
hex20ed4ee203

141420323331 has 128 divisors (see below), whose sum is σ = 245681356800. Its totient is φ = 78744597120.

The previous prime is 141420323327. The next prime is 141420323351. The reversal of 141420323331 is 133323024141.

It is a happy number.

141420323331 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 0 + 323 + 331 = 666.

It is not a de Polignac number, because 141420323331 - 22 = 141420323327 is a prime.

It is a super-2 number, since 2×1414203233312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141420323295 and 141420323304.

It is not an unprimeable number, because it can be changed into a prime (141420323351) 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 127 ways as a sum of consecutive naturals, for example, 499718316 + ... + 499718598.

It is an arithmetic number, because the mean of its divisors is an integer number (1919385600).

Almost surely, 2141420323331 is an apocalyptic number.

141420323331 is a deficient number, since it is larger than the sum of its proper divisors (104261033469).

141420323331 is a wasteful number, since it uses less digits than its factorization.

141420323331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 141420323331 its reverse (133323024141), we get a palindrome (274743347472).

The spelling of 141420323331 in words is "one hundred forty-one billion, four hundred twenty million, three hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 109 127 189 191 283 327 381 573 763 849 889 981 1143 1337 1719 1981 2289 2547 2667 2943 3429 4011 5157 5943 6867 7641 8001 12033 13843 17829 20601 20819 24003 24257 30847 35941 36099 41529 53487 54053 62457 72771 92541 96901 107823 124587 145733 162159 169799 187371 215929 218313 251587 277623 290703 323469 373761 378371 437199 486477 509397 562113 647787 654939 754761 832869 872109 970407 1135113 1311597 1459431 1528191 1943361 2264283 2616327 2644013 3405339 3917569 3934791 4584573 5830083 5891777 6792849 6864731 7932039 10216017 11752707 17675331 18508091 20594193 23796117 27422983 35258121 41242439 48053117 53025993 55524273 61782579 71388351 82268949 105774363 123727317 144159351 159077979 166572819 185347737 246806847 371181951 432478053 499718457 740420541 748255679 1113545853 1297434159 2244767037 5237789753 6734301111 15713369259 20202903333 47140107777 141420323331