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5430242273040 = 2432513580154089
BaseRepresentation
bin100111100000101001110…
…1010010110011100010000
3201020010101220212010220200
41033001103222112130100
51202432114010214130
615314341401335200
71100215315512324
oct117012352263420
921203356763820
105430242273040
111803a53219242
12738501197500
133050ba033010
1414ab7a21b984
15963be14d760
hex4f053a96710

5430242273040 has 120 divisors (see below), whose sum is σ = 19639376254680. Its totient is φ = 1336675018752.

The previous prime is 5430242273039. The next prime is 5430242273063. The reversal of 5430242273040 is 403722420345.

5430242273040 is a `hidden beast` number, since 5 + 4 + 302 + 42 + 2 + 7 + 304 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322660353024 + 5107581920016 = 568032^2 + 2259996^2 .

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

It is a super-2 number, since 2×54302422730402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5430242272986 and 5430242273004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290067685 + ... + 290086404.

It is an arithmetic number, because the mean of its divisors is an integer number (163661468789).

Almost surely, 25430242273040 is an apocalyptic number.

It is an amenable number.

5430242273040 is an abundant number, since it is smaller than the sum of its proper divisors (14209133981640).

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

5430242273040 is a wasteful number, since it uses less digits than its factorization.

5430242273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580154121 (or 580154112 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

Adding to 5430242273040 its reverse (403722420345), we get a palindrome (5833964693385).

The spelling of 5430242273040 in words is "five trillion, four hundred thirty billion, two hundred forty-two million, two hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 580154089 1160308178 1740462267 2320616356 2900770445 3480924534 4641232712 5221386801 5801540890 6961849068 7542003157 8702311335 9282465424 10442773602 11603081780 13923698136 15084006314 17404622670 20885547204 22626009471 23206163560 26106934005 27847396272 30168012628 34809245340 37710015785 41771094408 45252018942 46412327120 52213868010 60336025256 67878028413 69618490680 75420031570 83542188816 90504037884 104427736020 113130047355 120672050512 135756056826 139236981360 150840063140 181008075768 208855472040 226260094710 271512113652 301680126280 339390142065 362016151536 417710944080 452520189420 543024227304 603360252560 678780284130 905040378840 1086048454608 1357560568260 1810080757680 2715121136520 5430242273040