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43141415040 = 273257489829
BaseRepresentation
bin101000001011011011…
…011100000010000000
311010100121011221210200
4220023123130002000
51201323200240130
631452514125200
73055040656143
oct501333340200
9133317157720
1043141415040
1117329227719
12843bb80800
1340b6b4b229
1421338a605a
1511c76b1760
hexa0b6dc080

43141415040 has 96 divisors (see below), whose sum is σ = 148972718700. Its totient is φ = 11504375808.

The previous prime is 43141415033. The next prime is 43141415047. The reversal of 43141415040 is 4051414134.

43141415040 is a `hidden beast` number, since 4 + 3 + 14 + 141 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (43141415033) and next prime (43141415047).

It can be written as a sum of positive squares in 2 ways, for example, as 39709329984 + 3432085056 = 199272^2 + 58584^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×431414150402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43141414995 and 43141415013.

It is not an unprimeable number, because it can be changed into a prime (43141415047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3739155 + ... + 3750674.

Almost surely, 243141415040 is an apocalyptic number.

43141415040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43141415040 is an abundant number, since it is smaller than the sum of its proper divisors (105831303660).

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

43141415040 is a wasteful number, since it uses less digits than its factorization.

43141415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489854 (or 7489839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 43141415040 its reverse (4051414134), we get a palindrome (47192829174).

The spelling of 43141415040 in words is "forty-three billion, one hundred forty-one million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 7489829 14979658 22469487 29959316 37449145 44938974 59918632 67408461 74898290 89877948 112347435 119837264 134816922 149796580 179755896 224694870 239674528 269633844 299593160 337042305 359511792 449389740 479349056 539267688 599186320 674084610 719023584 898779480 958698112 1078535376 1198372640 1348169220 1438047168 1797558960 2157070752 2396745280 2696338440 2876094336 3595117920 4314141504 4793490560 5392676880 7190235840 8628283008 10785353760 14380471680 21570707520 43141415040