Search a number
-
+
3414412144143 = 3271121334454557
BaseRepresentation
bin110001101011111010110…
…100101010111000001111
3110002102012020211102111100
4301223322310222320033
5421420204002103033
611132320445554143
7501453213235050
oct61537264527017
913072166742440
103414412144143
1110a7053707300
1247189b875953
131b9c92c81190
14bb3891b8727
155dc3b532513
hex31afad2ae0f

3414412144143 has 72 divisors (see below), whose sum is σ = 6672056247584. Its totient is φ = 1637280501120.

The previous prime is 3414412144141. The next prime is 3414412144153.

3414412144143 is a `hidden beast` number, since 3 + 414 + 41 + 21 + 44 + 143 = 666.

3414412144143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3414412144143 - 21 = 3414412144141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3414412144098 and 3414412144107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414412144141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17128180 + ... + 17326377.

Almost surely, 23414412144143 is an apocalyptic number.

3414412144143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3414412144143 is a deficient number, since it is larger than the sum of its proper divisors (3257644103441).

3414412144143 is a wasteful number, since it uses less digits than its factorization.

3414412144143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34454605 (or 34454591 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 3414412144143 in words is "three trillion, four hundred fourteen billion, four hundred twelve million, one hundred forty-four thousand, one hundred forty-three".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 121 143 231 273 363 429 693 819 847 1001 1089 1287 1573 2541 3003 4719 7623 9009 11011 14157 33033 99099 34454557 103363671 241181899 310091013 379000127 447909241 723545697 1137000381 1343727723 2170637091 2653000889 3135364687 3411001143 4031183169 4169001397 4927001651 7959002667 9406094061 12507004191 14781004953 23877008001 28218282183 29183009779 34489011557 37521012573 44343014859 54197018161 87549029337 103467034671 162591054483 262647088011 310401104013 379379127127 487773163449 1138137381381 3414412144143