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1134423542142 = 2331119181555337
BaseRepresentation
bin10000100000100000111…
…010011000100101111110
311000110010221000220011000
4100200200322120211332
5122041244411322032
62225051425311130
7144650034002502
oct20404072304576
94013127026130
101134423542142
113a8119573780
12163a381954a6
1382c8b756b17
143cc991d8302
151e797b13e7c
hex10820e9897e

1134423542142 has 128 divisors (see below), whose sum is σ = 2910859660800. Its totient is φ = 323871955200.

The previous prime is 1134423542113. The next prime is 1134423542177. The reversal of 1134423542142 is 2412453244311.

1134423542142 is a `hidden beast` number, since 1 + 1 + 3 + 442 + 35 + 42 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1134423542097 and 1134423542106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1765098 + ... + 2320434.

It is an arithmetic number, because the mean of its divisors is an integer number (22741091100).

Almost surely, 21134423542142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134423542142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455429830400).

1134423542142 is an abundant number, since it is smaller than the sum of its proper divisors (1776436118658).

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

1134423542142 is a wasteful number, since it uses less digits than its factorization.

1134423542142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555559 (or 555553 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1134423542142 its reverse (2412453244311), we get a palindrome (3546876786453).

The spelling of 1134423542142 in words is "one trillion, one hundred thirty-four billion, four hundred twenty-three million, five hundred forty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 181 198 209 297 342 362 418 513 543 594 627 1026 1086 1254 1629 1881 1991 3258 3439 3762 3982 4887 5643 5973 6878 9774 10317 11286 11946 17919 20634 30951 35838 37829 53757 61902 75658 92853 107514 113487 185706 226974 340461 555337 680922 1021383 1110674 1666011 2042766 3332022 4998033 6108707 9996066 10551403 12217414 14994099 18326121 21102806 29988198 31654209 36652242 54978363 63308418 94962627 100515997 109956726 116065433 164935089 189925254 201031994 232130866 284887881 301547991 329870178 348196299 569775762 603095982 696392598 904643973 1044588897 1105675967 1809287946 1909803943 2089177794 2211351934 2713931919 3133766691 3317027901 3819607886 5427863838 5729411829 6267533382 6634055802 9951083703 11458823658 17188235487 19902167406 21007843373 29853251109 34376470974 42015686746 51564706461 59706502218 63023530119 103129412922 126047060238 189070590357 378141180714 567211771071 1134423542142