Search a number
-
+
16211154141 = 32713219127631
BaseRepresentation
bin11110001100100001…
…01001010011011101
31112211210010221211100
433012100221103131
5231200023413031
611240341143313
71112504352030
oct170620512335
945753127740
1016211154141
116969857056
1231850bab39
1316b4747500
14adb019017
1564d304de6
hex3c64294dd

16211154141 has 144 divisors (see below), whose sum is σ = 30792253440. Its totient is φ = 8024365440.

The previous prime is 16211154119. The next prime is 16211154191. The reversal of 16211154141 is 14145111261.

It is a happy number.

16211154141 is a `hidden beast` number, since 1 + 6 + 2 + 111 + 541 + 4 + 1 = 666.

16211154141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16211154141 - 210 = 16211153117 is a prime.

It is a super-2 number, since 2×162111541412 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16211154191) 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 143 ways as a sum of consecutive naturals, for example, 25690896 + ... + 25691526.

Almost surely, 216211154141 is an apocalyptic number.

It is an amenable number.

16211154141 is a deficient number, since it is larger than the sum of its proper divisors (14581099299).

16211154141 is a wasteful number, since it uses less digits than its factorization.

16211154141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The spelling of 16211154141 in words is "sixteen billion, two hundred eleven million, one hundred fifty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 127 133 169 171 247 273 381 399 507 631 741 819 889 1143 1183 1197 1521 1651 1729 1893 2223 2413 2667 3211 3549 4417 4953 5187 5679 7239 8001 8203 9633 10647 11557 11989 13251 14859 15561 16891 21463 21717 22477 24609 28899 31369 34671 35967 39753 50673 57421 64389 67431 73827 80137 83923 94107 104013 106639 107901 150241 152019 155857 172263 193167 202293 219583 240411 251769 282321 319917 407797 450723 467571 516789 560959 658749 721233 746473 755307 959751 1041781 1090999 1223391 1352169 1402713 1522603 1682877 1976247 2026141 2239419 2854579 3125343 3272997 3670173 4567809 5048631 6078423 6718257 7292467 8563737 9376029 9818991 10658221 13543153 13703427 14182987 18235269 19793839 21877401 25691211 31974663 40629459 42548961 59381517 65632203 94802071 95923989 121888377 127646883 138556873 178144551 257319907 284406213 415670619 771959721 853218639 1247011857 1801239349 2315879163 5403718047 16211154141