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40344323310 = 2325597979533
BaseRepresentation
bin100101100100101101…
…011000010011101110
310212010122221222021200
4211210231120103232
51130111121321220
630311154510330
72625525042564
oct454455302356
9125118858250
1040344323310
1116123356265
12799b2953a6
133a5c4cb975
141d4a1dba34
1510b1d4d890
hex964b584ee

40344323310 has 96 divisors (see below), whose sum is σ = 106818173280. Its totient is φ = 10561761024.

The previous prime is 40344323309. The next prime is 40344323353. The reversal of 40344323310 is 1332344304.

40344323310 is a `hidden beast` number, since 4 + 0 + 344 + 3 + 2 + 3 + 310 = 666.

40344323310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×403443233102 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 4227304 + ... + 4236836.

It is an arithmetic number, because the mean of its divisors is an integer number (1112689305).

Almost surely, 240344323310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40344323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53409086640).

40344323310 is an abundant number, since it is smaller than the sum of its proper divisors (66473849970).

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

40344323310 is a wasteful number, since it uses less digits than its factorization.

40344323310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10402 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 40344323310 its reverse (1332344304), we get a palindrome (41676667614).

The spelling of 40344323310 in words is "forty billion, three hundred forty-four million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 797 885 1062 1594 1770 2391 2655 3985 4782 5310 7173 7970 9533 11955 14346 19066 23910 28599 35865 47023 47665 57198 71730 85797 94046 95330 141069 142995 171594 235115 282138 285990 423207 428985 470230 562447 705345 846414 857970 1124894 1410690 1687341 2116035 2812235 3374682 4232070 5062023 5624470 7597801 8436705 10124046 15195602 16873410 22793403 25310115 37989005 45586806 50620230 68380209 75978010 113967015 136760418 227934030 341901045 448270259 683802090 896540518 1344810777 2241351295 2689621554 4034432331 4482702590 6724053885 8068864662 13448107770 20172161655 40344323310