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40334303124 = 22326195319273
BaseRepresentation
bin100101100100000111…
…001001111110010100
310212002222002220011200
4211210013021332110
51130101040144444
630310200032500
72625343630323
oct454407117624
9125088086150
1040334303124
1116118731a15
127997a62730
133a5a400b6b
141d48b500ba
1510b101e969
hex9641c9f94

40334303124 has 72 divisors (see below), whose sum is σ = 103741688232. Its totient is φ = 13209799680.

The previous prime is 40334303077. The next prime is 40334303147. The reversal of 40334303124 is 42130343304.

40334303124 is a `hidden beast` number, since 4 + 0 + 3 + 343 + 0 + 312 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 641710224 + 39692592900 = 25332^2 + 199230^2 .

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 23 ways as a sum of consecutive naturals, for example, 2083152 + ... + 2102424.

It is an arithmetic number, because the mean of its divisors is an integer number (1440856781).

Almost surely, 240334303124 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 40334303124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51870844116).

40334303124 is an abundant number, since it is smaller than the sum of its proper divisors (63407385108).

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

40334303124 is a wasteful number, since it uses less digits than its factorization.

40334303124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20297 (or 20292 counting only the distinct ones).

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

Adding to 40334303124 its reverse (42130343304), we get a palindrome (82464646428).

The spelling of 40334303124 in words is "forty billion, three hundred thirty-four million, three hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 953 1098 1906 2196 2859 3812 5718 8577 11436 17154 19273 34308 38546 57819 58133 77092 115638 116266 173457 174399 231276 232532 346914 348798 523197 693828 697596 1046394 1175653 2092788 2351306 3526959 4702612 7053918 10580877 14107836 18367169 21161754 36734338 42323508 55101507 73468676 110203014 165304521 220406028 330609042 661218084 1120397309 2240794618 3361191927 4481589236 6722383854 10083575781 13444767708 20167151562 40334303124