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142332153611211 = 32531576438573449
BaseRepresentation
bin100000010111001101001001…
…011101001100001111001011
3200122221211011111201002212200
4200113031021131030033023
5122123432222311024321
61222414253320411243
741660105310640314
oct4027151135141713
9618854144632780
10142332153611211
1141395800138333
1213b68b12316b23
136155b313a7605
142720cad36b60b
15116c5bc8a8d26
hex81734974c3cb

142332153611211 has 96 divisors (see below), whose sum is σ = 211439658830400. Its totient is φ = 92226396966912.

The previous prime is 142332153611201. The next prime is 142332153611227. The reversal of 142332153611211 is 112116351233241.

142332153611211 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 3 + 2 + 1 + 536 + 112 + 1 + 1 = 666.

It is not a de Polignac number, because 142332153611211 - 27 = 142332153611083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142332153611201) 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 95 ways as a sum of consecutive naturals, for example, 41267656615 + ... + 41267660063.

It is an arithmetic number, because the mean of its divisors is an integer number (2202496446150).

Almost surely, 2142332153611211 is an apocalyptic number.

142332153611211 is a deficient number, since it is larger than the sum of its proper divisors (69107505219189).

142332153611211 is a wasteful number, since it uses less digits than its factorization.

142332153611211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5162 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 142332153611211 in words is "one hundred forty-two trillion, three hundred thirty-two billion, one hundred fifty-three million, six hundred eleven thousand, two hundred eleven".

Divisors: 1 3 9 53 157 159 471 477 643 857 1413 1929 2571 3449 5787 7713 8321 10347 24963 31041 34079 45421 74889 100951 102237 134549 136263 182797 302853 306711 403647 408789 541493 548391 551051 908559 1210941 1624479 1645173 1653153 2217707 2955793 4873437 4959459 5350403 6653121 7131097 8867379 16051209 19959363 21393291 26602137 28699129 29205703 48153627 64179873 86097387 86515007 87617109 117538471 156657029 258292161 259545021 262851327 348179999 352615413 464059501 469971087 778635063 1044539997 1057846239 1392178503 1409913261 1900574899 3133619991 4176535509 4585295371 5701724697 13755886113 17105174091 18453539947 24595153553 41267658339 55360619841 73785460659 100730469647 166081859523 221356381977 298390259143 302191408941 895170777429 906574226823 2685512332287 15814683734579 47444051203737 142332153611211