Search a number
-
+
4521145440141 = 3211172541292091
BaseRepresentation
bin100000111001010100101…
…0001001001011110001101
3121000012212101210001220100
41001302221101021132031
51043033301213041031
613340552513241313
7644433125106141
oct101625121113615
917005771701810
104521145440141
11149345280a230
1261028a563239
1326a45aa21865
14118b78a15221
157c9131b8de6
hex41ca944978d

4521145440141 has 72 divisors (see below), whose sum is σ = 7581967574688. Its totient is φ = 2574130752000.

The previous prime is 4521145440113. The next prime is 4521145440167. The reversal of 4521145440141 is 1410445411254.

4521145440141 is a `hidden beast` number, since 4 + 5 + 21 + 1 + 454 + 40 + 141 = 666.

It is not a de Polignac number, because 4521145440141 - 223 = 4521137051533 is a prime.

It is a super-2 number, since 2×45211454401412 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4521145440096 and 4521145440105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4521145440101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15332506 + ... + 15624596.

It is an arithmetic number, because the mean of its divisors is an integer number (105305105204).

Almost surely, 24521145440141 is an apocalyptic number.

It is an amenable number.

4521145440141 is a deficient number, since it is larger than the sum of its proper divisors (3060822134547).

4521145440141 is a wasteful number, since it uses less digits than its factorization.

4521145440141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292683 (or 292663 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 4521145440141 in words is "four trillion, five hundred twenty-one billion, one hundred forty-five million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 541 561 867 1623 1683 2601 3179 4869 5951 9197 9537 17853 27591 28611 53559 82773 101167 156349 292091 303501 469047 876273 910503 1407141 1719839 2628819 3213001 4965547 5159517 9639003 14896641 15478551 28917009 44689923 54621017 84414299 158021231 163863051 253242897 474063693 491589153 759728691 928557289 1422191079 1738233541 2686360927 2785671867 5214700623 8059082781 8357015601 15644101869 24177248343 29549970197 45668135759 88649910591 137004407277 265949731773 411013221831 502349493349 1507048480047 4521145440141