Search a number
-
+
16430065705131 = 31321783127917957
BaseRepresentation
bin1110111100010110110000…
…1110101110000010101011
32011011200212112021020120220
43233011230032232002223
54123142233310031011
654535511252421123
73314014226133501
oct357055416560253
964150775236526
1016430065705131
115264a5183a061
121a1430b9177a3
1392246b9b5400
1440b310150671
151d75b507b506
hexef16c3ae0ab

16430065705131 has 96 divisors (see below), whose sum is σ = 25440802652160. Its totient is φ = 9393531144192.

The previous prime is 16430065705127. The next prime is 16430065705139. The reversal of 16430065705131 is 13150756003461.

It is a happy number.

It is not a de Polignac number, because 16430065705131 - 22 = 16430065705127 is a prime.

It is a super-2 number, since 2×164300657051312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16430065705139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914958205 + ... + 914976161.

It is an arithmetic number, because the mean of its divisors is an integer number (265008360960).

Almost surely, 216430065705131 is an apocalyptic number.

16430065705131 is a deficient number, since it is larger than the sum of its proper divisors (9010736947029).

16430065705131 is a wasteful number, since it uses less digits than its factorization.

16430065705131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19365 (or 19352 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 16430065705131 in words is "sixteen trillion, four hundred thirty billion, sixty-five million, seven hundred five thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 51 83 169 221 249 507 663 1079 1279 1411 2873 3237 3837 4233 8619 14027 16627 17957 18343 21743 42081 49881 53871 55029 65229 106157 216151 233441 238459 282659 305269 318471 648453 700323 715377 847977 915807 1380041 1490431 1804669 3034733 3674567 3968497 4140123 4471293 5414007 9104199 11023701 11905491 17940533 19375603 22967003 23460697 25337327 51590461 53821599 58126809 68901009 70382091 76011981 154771383 251882839 298571039 304989061 329385251 390439051 755648517 895713117 914967183 988155753 1171317153 1906261249 3881423507 4282008263 5075707663 5718783747 11644270521 12846024789 15227122989 24781396237 32406441233 65984199619 74344188711 97219323699 197952598857 322158151081 421283736029 966474453243 1263851208087 5476688568377 16430065705131