Search a number
-
+
2040032332044 = 2232789162156113
BaseRepresentation
bin11101101011111011011…
…001110000100100001100
321020000200100202000200200
4131223323121300210030
5231410441234111134
64201102232453500
7300246621466260
oct35537331604414
97200610660620
102040032332044
1171719a082423
1228b45684a290
1311a4b3227205
1470a494760a0
15380ec74e499
hex1dafb67090c

2040032332044 has 144 divisors (see below), whose sum is σ = 5963427812160. Its totient is φ = 575951523840.

The previous prime is 2040032332031. The next prime is 2040032332111. The reversal of 2040032332044 is 4402332300402.

2040032332044 is a `hidden beast` number, since 2 + 0 + 400 + 3 + 233 + 20 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2040032331999 and 2040032332017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36327732 + ... + 36383844.

It is an arithmetic number, because the mean of its divisors is an integer number (41412693140).

Almost surely, 22040032332044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040032332044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981713906080).

2040032332044 is an abundant number, since it is smaller than the sum of its proper divisors (3923395480116).

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

2040032332044 is a wasteful number, since it uses less digits than its factorization.

2040032332044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57840 (or 57835 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2040032332044 its reverse (4402332300402), we get a palindrome (6442364632446).

The spelling of 2040032332044 in words is "two trillion, forty billion, thirty-two million, three hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1621 1869 2492 3204 3242 3738 4863 5607 6484 7476 9726 11214 11347 14589 19452 22428 22694 29178 34041 45388 56113 58356 68082 102123 112226 136164 144269 168339 204246 224452 288538 336678 392791 408492 432807 505017 577076 673356 785582 865614 1009883 1010034 1178373 1298421 1571164 1731228 2019766 2020068 2356746 2596842 3029649 3535119 4039532 4713492 4994057 5193684 6059298 7070238 9088947 9988114 12118596 14140476 14982171 18177894 19976228 29964342 34958399 36355788 44946513 59928684 69916798 89893026 90959173 104875197 139833596 179786052 181918346 209750394 272877519 314625591 363836692 419500788 545755038 629251182 636714211 818632557 1091510076 1258502364 1273428422 1637265114 1910142633 2546856844 3274530228 3820285266 5730427899 7640570532 8095366397 11460855798 16190732794 22921711596 24286099191 32381465588 48572198382 56667564779 72858297573 97144396764 113335129558 145716595146 170002694337 226670259116 291433190292 340005388674 510008083011 680010777348 1020016166022 2040032332044