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2040133404240 = 243254517627301
BaseRepresentation
bin11101101100000001011…
…011010100011001010000
321020000221101221000200100
4131230001123110121100
5231411143122413430
64201120243052400
7300252256545351
oct35540133243120
97200841830610
102040133404240
11717241136468
1228b484671100
1311a4cb154a49
1470a58a65d28
1538106566960
hex1db016d4650

2040133404240 has 120 divisors (see below), whose sum is σ = 6852975754248. Its totient is φ = 543914265600.

The previous prime is 2040133404157. The next prime is 2040133404263. The reversal of 2040133404240 is 424043310402.

It is a happy number.

2040133404240 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 13 + 3 + 404 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22756325904 + 2017377078336 = 150852^2 + 1420344^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2938590 + ... + 3565890.

Almost surely, 22040133404240 is an apocalyptic number.

2040133404240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040133404240 is an abundant number, since it is smaller than the sum of its proper divisors (4812842350008).

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

2040133404240 is a wasteful number, since it uses less digits than its factorization.

2040133404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631837 (or 631828 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2040133404240 its reverse (424043310402), we get a palindrome (2464176714642).

The spelling of 2040133404240 in words is "two trillion, forty billion, one hundred thirty-three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4517 9034 13551 18068 22585 27102 36136 40653 45170 54204 67755 72272 81306 90340 108408 135510 162612 180680 203265 216816 271020 325224 361360 406530 542040 627301 650448 813060 1084080 1254602 1626120 1881903 2509204 3136505 3252240 3763806 5018408 5645709 6273010 7527612 9409515 10036816 11291418 12546020 15055224 18819030 22582836 25092040 28228545 30110448 37638060 45165672 50184080 56457090 75276120 90331344 112914180 150552240 225828360 451656720 2833518617 5667037234 8500555851 11334074468 14167593085 17001111702 22668148936 25501667553 28335186170 34002223404 42502779255 45336297872 51003335106 56670372340 68004446808 85005558510 102006670212 113340744680 127508337765 136008893616 170011117020 204013340424 226681489360 255016675530 340022234040 408026680848 510033351060 680044468080 1020066702120 2040133404240