Search a number
-
+
1144104314132 = 2213229363726417
BaseRepresentation
bin10000101001100001111…
…011100110010100010100
311001101010121010001202202
4100221201323212110110
5122221111201023012
62233332210024032
7145441654132523
oct20514173462424
94041117101682
101144104314132
11401237070a8a
1216589a278018
1383b72273580
143d536bc04ba
151eb62965cc2
hex10a61ee6514

1144104314132 has 48 divisors (see below), whose sum is σ = 2166289737360. Its totient is φ = 525577807872.

The previous prime is 1144104314077. The next prime is 1144104314147. The reversal of 1144104314132 is 2314134014411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 200960337796 + 943143976336 = 448286^2 + 971156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1144104314095 and 1144104314104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43296188 + ... + 43322604.

It is an arithmetic number, because the mean of its divisors is an integer number (45131036195).

Almost surely, 21144104314132 is an apocalyptic number.

It is an amenable number.

1144104314132 is a deficient number, since it is larger than the sum of its proper divisors (1022185423228).

1144104314132 is a wasteful number, since it uses less digits than its factorization.

1144104314132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30300 (or 30298 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 1144104314132 its reverse (2314134014411), we get a palindrome (3458238328543).

The spelling of 1144104314132 in words is "one trillion, one hundred forty-four billion, one hundred four million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 13 26 52 229 458 916 2977 3637 5954 7274 11908 14548 26417 47281 52834 94562 105668 189124 343421 686842 832873 1373684 1665746 3331492 6049493 10827349 12098986 21654698 24197972 43309396 78643409 96078629 157286818 192157258 314573636 384314516 1249022177 2498044354 4996088708 22002006041 44004012082 88008024164 286026078533 572052157066 1144104314132