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11040040367340 = 22355913192364409
BaseRepresentation
bin1010000010100111010110…
…1011110011010011101100
31110002102021101200002101120
42200221311223303103230
52421340000313223330
635251420255340540
72216421330532215
oct240516553632354
943072241602346
1011040040367340
113577066a79596
1212a3773221750
136210c096b3ca
142a24ab25040c
1514229b9b6c10
hexa0a75af34ec

11040040367340 has 96 divisors (see below), whose sum is σ = 31459893696000. Its totient is φ = 2891916882432.

The previous prime is 11040040367219. The next prime is 11040040367341. The reversal of 11040040367340 is 4376304004011.

It is not an unprimeable number, because it can be changed into a prime (11040040367341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487056 + ... + 5851464.

It is an arithmetic number, because the mean of its divisors is an integer number (327707226000).

Almost surely, 211040040367340 is an apocalyptic number.

11040040367340 is a gapful number since it is divisible by the number (10) 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 11040040367340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729946848000).

11040040367340 is an abundant number, since it is smaller than the sum of its proper divisors (20419853328660).

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

11040040367340 is a wasteful number, since it uses less digits than its factorization.

11040040367340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365799 (or 2365797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 11040040367340 in words is "eleven trillion, forty billion, forty million, three hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1319 1770 2638 3540 3957 5276 6595 7914 13190 15828 19785 26380 39570 77821 79140 155642 233463 311284 389105 466926 778210 933852 1167315 1556420 2334630 2364409 4669260 4728818 7093227 9457636 11822045 14186454 23644090 28372908 35466135 47288180 70932270 139500131 141864540 279000262 418500393 558000524 697500655 837000786 1395001310 1674001572 2092501965 2790002620 3118655471 4185003930 6237310942 8370007860 9355966413 12474621884 15593277355 18711932826 31186554710 37423865652 46779832065 62373109420 93559664130 184000672789 187119328260 368001345578 552002018367 736002691156 920003363945 1104004036734 1840006727890 2208008073468 2760010091835 3680013455780 5520020183670 11040040367340