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40666939903008 = 25324093299104651
BaseRepresentation
bin10010011111100100000101…
…00000011100110000100000
312022222201110222000110202200
421033302002200130300200
520312241343103344013
6222254045001013200
711365042452505566
oct1117620240346040
9168881428013680
1040666939903008
1111a59830432561
124689637a84200
13198cb506a5c23
14a0840cba7a36
154a7c916d4e73
hex24fc8281cc20

40666939903008 has 144 divisors (see below), whose sum is σ = 115965613764000. Its totient is φ = 13518275097600.

The previous prime is 40666939903003. The next prime is 40666939903019. The reversal of 40666939903008 is 80030993966604.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (40666939903003) 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 23 ways as a sum of consecutive naturals, for example, 388543483 + ... + 388648133.

It is an arithmetic number, because the mean of its divisors is an integer number (805316762250).

Almost surely, 240666939903008 is an apocalyptic number.

40666939903008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40666939903008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57982806882000).

40666939903008 is an abundant number, since it is smaller than the sum of its proper divisors (75298673860992).

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

40666939903008 is a wasteful number, since it uses less digits than its factorization.

40666939903008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108375 (or 108364 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 40666939903008 in words is "forty trillion, six hundred sixty-six billion, nine hundred thirty-nine million, nine hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3299 3681 4908 6544 6598 7362 9816 9897 13088 13196 14724 19632 19794 26392 29448 29691 39264 39588 52784 58896 59382 79176 104651 105568 117792 118764 158352 209302 237528 313953 316704 418604 475056 627906 837208 941859 950112 1255812 1349291 1674416 1883718 2511624 2698582 3348832 3767436 4047873 5023248 5397164 7534872 8095746 10046496 10794328 12143619 15069744 16191492 21588656 24287238 30139488 32382984 42802259 43177312 48574476 64765968 85604518 97148952 128406777 129531936 171209036 194297904 256813554 342418072 345243649 385220331 388595808 513627108 684836144 690487298 770440662 1027254216 1035730947 1369672288 1380974596 1540881324 2054508432 2071461894 2761949192 3081762648 3107192841 4109016864 4142923788 5523898384 6163525296 6214385682 8285847576 11047796768 12327050592 12428771364 16571695152 24857542728 33143390304 49715085456 99430170912 141204652441 282409304882 423613957323 564818609764 847227914646 1129637219528 1270841871969 1694455829292 2259274439056 2541683743938 3388911658584 4518548878112 5083367487876 6777823317168 10166734975752 13555646634336 20333469951504 40666939903008