Search a number
-
+
4040343132224 = 267171573379027
BaseRepresentation
bin111010110010110111001…
…101111001100001000000
3112022020211110102011100112
4322302313031321201000
51012144110320212344
612332035155210452
7564622316655320
oct72626715714100
915266743364315
104040343132224
111318555403a63
125530668a6a28
13234005c9b1c9
14dd7a730b280
1570172b70c9e
hex3acb7379840

4040343132224 has 112 divisors (see below), whose sum is σ = 9763714922112. Its totient is φ = 1619337388032.

The previous prime is 4040343132191. The next prime is 4040343132227. The reversal of 4040343132224 is 4222313430404.

4040343132224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×40403431322242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4040343132227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493802 + ... + 2885225.

Almost surely, 24040343132224 is an apocalyptic number.

It is an amenable number.

4040343132224 is an abundant number, since it is smaller than the sum of its proper divisors (5723371789888).

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

4040343132224 is a wasteful number, since it uses less digits than its factorization.

4040343132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379220 (or 3379210 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4040343132224 its reverse (4222313430404), we get a palindrome (8262656562628).

The spelling of 4040343132224 in words is "four trillion, forty billion, three hundred forty-three million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 157 224 238 272 314 448 476 544 628 952 1088 1099 1256 1904 2198 2512 2669 3808 4396 5024 5338 7616 8792 10048 10676 17584 18683 21352 35168 37366 42704 70336 74732 85408 149464 170816 298928 597856 1195712 3379027 6758054 13516108 23653189 27032216 47306378 54064432 57443459 94612756 108128864 114886918 189225512 216257728 229773836 378451024 402104213 459547672 530507239 756902048 804208426 919095344 1061014478 1513804096 1608416852 1838190688 2122028956 3216833704 3676381376 3713550673 4244057912 6433667408 7427101346 8488115824 9018623063 12867334816 14854202692 16976231648 18037246126 25734669632 29708405384 33952463296 36074492252 59416810768 63130361441 72148984504 118833621536 126260722882 144297969008 237667243072 252521445764 288595938016 505042891528 577191876032 1010085783056 2020171566112 4040343132224