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40041334022140 = 22511238099781591
BaseRepresentation
bin10010001101010110110010…
…11111011001111111111100
312020202220200102011220011101
421012223121133121333330
520222014123002202030
6221054422423502444
711301614404324633
oct1106533137317774
9166686612156141
1040041334022140
11118384861a8750
1245a83418b7a24
131945b5cb37929
149c6021d0251a
154968788b47ca
hex246ad97d9ffc

40041334022140 has 96 divisors (see below), whose sum is σ = 95837690833920. Its totient is φ = 13910203507200.

The previous prime is 40041334022099. The next prime is 40041334022143. The reversal of 40041334022140 is 4122043314004.

It is a junction number, because it is equal to n+sod(n) for n = 40041334022099 and 40041334022108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041334022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797256 + ... + 8984335.

It is an arithmetic number, because the mean of its divisors is an integer number (998309279520).

Almost surely, 240041334022140 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 40041334022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47918845416960).

40041334022140 is an abundant number, since it is smaller than the sum of its proper divisors (55796356811780).

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

40041334022140 is a wasteful number, since it uses less digits than its factorization.

40041334022140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9782443 (or 9782441 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40041334022140 its reverse (4122043314004), we get a palindrome (44163377336144).

The spelling of 40041334022140 in words is "forty trillion, forty-one billion, three hundred thirty-four million, twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 809 1012 1265 1618 2530 3236 4045 5060 8090 8899 16180 17798 18607 35596 37214 44495 74428 88990 93035 177980 186070 204677 372140 409354 818708 1023385 2046770 4093540 9781591 19563182 39126364 48907955 97815910 107597501 195631820 215195002 224976593 430390004 449953186 537987505 899906372 1075975010 1124882965 2151950020 2249765930 2474742523 4499531860 4949485046 7913307119 9898970092 12373712615 15826614238 24747425230 31653228476 39566535595 49494850460 79133071190 87046378309 158266142380 174092756618 182006063737 348185513236 364012127474 435231891545 728024254948 870463783090 910030318685 1740927566180 1820060637370 2002066701107 3640121274740 4004133402214 8008266804428 10010333505535 20020667011070 40041334022140