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40326343105344 = 2631272117837931
BaseRepresentation
bin10010010101101001101010…
…10110110001101101000000
312021210011100012001110000220
421022310311112301231000
520241201322313332334
6221433355525343040
711331324242501442
oct1112646526615500
9167704305043026
1040326343105344
111193834041730a
124633622867a80
1319669b0c7a96a
149d5b3c106492
1549dea9e55449
hex24ad355b1b40

40326343105344 has 112 divisors (see below), whose sum is σ = 108046582358016. Its totient is φ = 13273064179200.

The previous prime is 40326343105337. The next prime is 40326343105357. The reversal of 40326343105344 is 44350134362304.

It is a junction number, because it is equal to n+sod(n) for n = 40326343105296 and 40326343105305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226059 + ... + 9063989.

Almost surely, 240326343105344 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 40326343105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023291179008).

40326343105344 is an abundant number, since it is smaller than the sum of its proper divisors (67720239252672).

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

40326343105344 is a wasteful number, since it uses less digits than its factorization.

40326343105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838284 (or 7838274 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 40326343105344 its reverse (44350134362304), we get a palindrome (84676477467648).

The spelling of 40326343105344 in words is "forty trillion, three hundred twenty-six billion, three hundred forty-three million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 211 254 381 422 508 633 762 844 1016 1266 1524 1688 2032 2532 3048 3376 4064 5064 6096 6752 8128 10128 12192 13504 20256 24384 26797 40512 53594 80391 107188 160782 214376 321564 428752 643128 857504 1286256 1715008 2572512 5145024 7837931 15675862 23513793 31351724 47027586 62703448 94055172 125406896 188110344 250813792 376220688 501627584 752441376 995417237 1504882752 1653803441 1990834474 2986251711 3307606882 3981668948 4961410323 5972503422 6615213764 7963337896 9922820646 11945006844 13230427528 15926675792 19845641292 23890013688 26460855056 31853351584 39691282584 47780027376 52921710112 63706703168 79382565168 95560054752 105843420224 158765130336 191120109504 210033037007 317530260672 420066074014 630099111021 840132148028 1260198222042 1680264296056 2520396444084 3360528592112 5040792888168 6721057184224 10081585776336 13442114368448 20163171552672 40326343105344