Search a number
-
+
1410443413134 = 237234752159627
BaseRepresentation
bin10100100001100100111…
…110101000011010001110
311222211121020010011001220
4110201210332220122032
5141102042003210014
62555540533144210
7203621050125450
oct24414476503216
94884536104056
101410443413134
114a419059a138
121a942a78b066
13a3009425b82
144c3a15d42d0
1526a4ee096a9
hex14864fa868e

1410443413134 has 128 divisors (see below), whose sum is σ = 3442266243072. Its totient is φ = 376531034880.

The previous prime is 1410443413117. The next prime is 1410443413153. The reversal of 1410443413134 is 4313143440141.

It is a junction number, because it is equal to n+sod(n) for n = 1410443413095 and 1410443413104.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 23624629 + ... + 23684255.

It is an arithmetic number, because the mean of its divisors is an integer number (26892705024).

Almost surely, 21410443413134 is an apocalyptic number.

1410443413134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1410443413134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721133121536).

1410443413134 is an abundant number, since it is smaller than the sum of its proper divisors (2031822829938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1410443413134 is a wasteful number, since it uses less digits than its factorization.

1410443413134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60230.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 1410443413134 its reverse (4313143440141), we get a palindrome (5723586853275).

The spelling of 1410443413134 in words is "one trillion, four hundred ten billion, four hundred forty-three million, four hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 47 69 94 138 141 161 282 322 329 483 521 658 966 987 1042 1081 1563 1974 2162 3126 3243 3647 6486 7294 7567 10941 11983 15134 21882 22701 23966 24487 35949 45402 48974 59627 71898 73461 83881 119254 146922 167762 171409 178881 251643 342818 357762 417389 503286 514227 563201 834778 1028454 1126402 1252167 1371421 1689603 2504334 2742842 2802469 3379206 3942407 4114263 5604938 7884814 8228526 8407407 9599947 11827221 16814814 19199894 19617283 23654442 28799841 31065667 39234566 57599682 58851849 62131334 64456787 93197001 117703698 128913574 186394002 193370361 217459669 386740722 434919338 451197509 652379007 714510341 902395018 1304758014 1353592527 1429020682 1460086349 2143531023 2707185054 2920172698 4287062046 4380259047 5001572387 8760518094 10003144774 10220604443 15004717161 20441208886 30009434322 30661813329 33581986027 61323626658 67163972054 100745958081 201491916162 235073902189 470147804378 705221706567 1410443413134