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40440752226 = 2347217299681
BaseRepresentation
bin100101101010011101…
…001110100001100010
310212101101102001220000
4211222131032201202
51130310313032401
630324521400430
72631105502500
oct455235164142
9125341361800
1040440752226
1116172828786
127a07639116
133a76491bb4
141d58d3d670
1510ba54a186
hex96a74e862

40440752226 has 120 divisors (see below), whose sum is σ = 111612964716. Its totient is φ = 10874787840.

The previous prime is 40440752221. The next prime is 40440752249. The reversal of 40440752226 is 62225704404.

It can be written as a sum of positive squares in 2 ways, for example, as 36270821601 + 4169930625 = 190449^2 + 64575^2 .

It is not an unprimeable number, because it can be changed into a prime (40440752221) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 14895 + ... + 284786.

Almost surely, 240440752226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40440752226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55806482358).

40440752226 is an abundant number, since it is smaller than the sum of its proper divisors (71172212490).

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

40440752226 is a wasteful number, since it uses less digits than its factorization.

40440752226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299726 (or 299710 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40440752226 in words is "forty billion, four hundred forty million, seven hundred fifty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 81 98 102 119 126 147 153 162 189 238 294 306 357 378 441 459 567 714 833 882 918 1071 1134 1323 1377 1666 2142 2499 2646 2754 3213 3969 4998 6426 7497 7938 9639 14994 19278 22491 44982 67473 134946 299681 599362 899043 1798086 2097767 2697129 4195534 5094577 5394258 6293301 8091387 10189154 12586602 14684369 15283731 16182774 18879903 24274161 29368738 30567462 35662039 37759806 44053107 45851193 48548322 56639709 71324078 88106214 91702386 106986117 113279418 132159321 137553579 169919127 213972234 249634273 264318642 275107158 320958351 339838254 396477963 412660737 499268546 641916702 748902819 792955926 825321474 962875053 1189433889 1497805638 1925750106 2246708457 2378867778 2888625159 4493416914 5777250318 6740125371 13480250742 20220376113 40440752226