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40334310030 = 2357436736637
BaseRepresentation
bin100101100100000111…
…001011101010001110
310212002222010020122110
4211210013023222032
51130101040410110
630310200124450
72625343656420
oct454407135216
9125088106573
1040334310030
1116118737123
127997a66726
133a5a404051
141d48b52810
1510b1021a20
hex9641cba8e

40334310030 has 128 divisors (see below), whose sum is σ = 113389360128. Its totient is φ = 8990134272.

The previous prime is 40334310011. The next prime is 40334310067. The reversal of 40334310030 is 3001343304.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40334309979 and 40334310006.

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, 6073872 + ... + 6080508.

It is an arithmetic number, because the mean of its divisors is an integer number (885854376).

Almost surely, 240334310030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40334310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56694680064).

40334310030 is an abundant number, since it is smaller than the sum of its proper divisors (73055050098).

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

40334310030 is a wasteful number, since it uses less digits than its factorization.

40334310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 40334310030 its reverse (3001343304), we get a palindrome (43335653334).

The spelling of 40334310030 in words is "forty billion, three hundred thirty-four million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 673 903 1290 1346 1505 1806 2019 3010 3365 4038 4515 4711 6637 6730 9030 9422 10095 13274 14133 19911 20190 23555 28266 28939 33185 39822 46459 47110 57878 66370 70665 86817 92918 99555 139377 141330 144695 173634 199110 202573 232295 278754 285391 289390 405146 434085 464590 570782 607719 696885 856173 868170 1012865 1215438 1393770 1426955 1712346 1997737 2025730 2853910 3038595 3995474 4280865 4466701 5993211 6077190 8561730 8933402 9988685 11986422 13400103 19977370 22333505 26800206 29966055 31266907 44667010 59932110 62533814 67000515 93800721 134001030 156334535 187601442 192068143 312669070 384136286 469003605 576204429 938007210 960340715 1152408858 1344477001 1920681430 2688954002 2881022145 4033431003 5762044290 6722385005 8066862006 13444770010 20167155015 40334310030