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40681229784 = 23313231672
BaseRepresentation
bin100101111000110010…
…100100110111011000
310220000010220121002020
4211320302210313120
51131303343323114
630404431534440
72640055514316
oct457062446730
9126003817066
1040681229784
1116286548068
127a7408a420
133ab424c200
141d7cc5b0b6
1510d16ecaa9
hex978ca4dd8

40681229784 has 72 divisors (see below), whose sum is σ = 110162965860. Its totient is φ = 12513349056.

The previous prime is 40681229761. The next prime is 40681229837. The reversal of 40681229784 is 48792218604.

40681229784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12843769 + ... + 12846935.

Almost surely, 240681229784 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 40681229784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55081482930).

40681229784 is an abundant number, since it is smaller than the sum of its proper divisors (69481736076).

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

40681229784 is an equidigital number, since it uses as much as digits as its factorization.

40681229784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 40681229784 in words is "forty billion, six hundred eighty-one million, two hundred twenty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 3167 4056 6334 9501 12668 19002 25336 38004 41171 76008 82342 123513 164684 247026 329368 494052 535223 988104 1070446 1605669 2140892 3211338 4281784 6422676 10029889 12845352 20059778 30089667 40119556 60179334 80239112 120358668 130388557 240717336 260777114 391165671 521554228 782331342 1043108456 1564662684 1695051241 3129325368 3390102482 5085153723 6780204964 10170307446 13560409928 20340614892 40681229784