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40334741504 = 21295310333
BaseRepresentation
bin100101100100001000…
…110101000000000000
310212002222221011111222
4211210020311000000
51130101143212004
630310213254212
72625350434361
oct454410650000
9125088834458
1040334741504
1116118a01312
127998034368
133a5a525565
141d48c25b68
1510b10a97be
hex964235000

40334741504 has 52 divisors (see below), whose sum is σ = 80752087476. Its totient is φ = 20144259072.

The previous prime is 40334741471. The next prime is 40334741543. The reversal of 40334741504 is 40514743304.

It can be written as a sum of positive squares in 2 ways, for example, as 23455535104 + 16879206400 = 153152^2 + 129920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3898322 + ... + 3908654.

Almost surely, 240334741504 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 40334741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40376043738).

40334741504 is an abundant number, since it is smaller than the sum of its proper divisors (40417345972).

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

40334741504 is an equidigital number, since it uses as much as digits as its factorization.

40334741504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11310 (or 11288 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 40334741504 in words is "forty billion, three hundred thirty-four million, seven hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 953 1024 1906 2048 3812 4096 7624 10333 15248 20666 30496 41332 60992 82664 121984 165328 243968 330656 487936 661312 975872 1322624 1951744 2645248 3903488 5290496 9847349 10580992 19694698 21161984 39389396 42323968 78778792 157557584 315115168 630230336 1260460672 2520921344 5041842688 10083685376 20167370752 40334741504