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41603050606140 = 2232510110687214129
BaseRepresentation
bin10010111010110011101110…
…00011011000111000111100
312110022012202010110100012100
421131121313003120320330
520423111021423344030
6224252102210105100
711522502243264162
oct1135316703307074
9173265663410170
1041603050606140
111228a833529061
1247bab4957b190
131a2a1c651329a
14a3b853dc3232
154c22ce03e360
hex25d6770d8e3c

41603050606140 has 144 divisors (see below), whose sum is σ = 127457905236480. Its totient is φ = 10983224678400.

The previous prime is 41603050606121. The next prime is 41603050606177. The reversal of 41603050606140 is 4160605030614.

It is a happy number.

41603050606140 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 3 + 0 + 5 + 0 + 606 + 1 + 40 = 666.

41603050606140 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 41603050606095 and 41603050606104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194182596 + ... + 194396724.

It is an arithmetic number, because the mean of its divisors is an integer number (885124341920).

Almost surely, 241603050606140 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 41603050606140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63728952618240).

41603050606140 is an abundant number, since it is smaller than the sum of its proper divisors (85854854630340).

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

41603050606140 is a wasteful number, since it uses less digits than its factorization.

41603050606140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224932 (or 224927 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 41603050606140 its reverse (4160605030614), we get a palindrome (45763655636754).

The spelling of 41603050606140 in words is "forty-one trillion, six hundred three billion, fifty million, six hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 10687 18180 21374 32061 42748 53435 64122 96183 106870 128244 160305 192366 213740 214129 320610 384732 428258 480915 641220 642387 856516 961830 1070645 1079387 1284774 1923660 1927161 2141290 2158774 2569548 3211935 3238161 3854322 4282580 4317548 5396935 6423870 6476322 7708644 9635805 9714483 10793870 12847740 12952644 16190805 19271610 19428966 21587740 21627029 32381610 38543220 38857932 43254058 48572415 64763220 64881087 86508116 97144830 108135145 129762174 194289660 194643261 216270290 259524348 324405435 389286522 432540580 648810870 778573044 973216305 1297621740 1946432610 2288396623 3892865220 4576793246 6865189869 9153586492 11441983115 13730379738 20595569607 22883966230 27460759476 34325949345 41191139214 45767932460 68651898690 82382278428 102977848035 137303797380 205955696070 231128058923 411911392140 462256117846 693384176769 924512235692 1155640294615 1386768353538 2080152530307 2311280589230 2773536707076 3466920883845 4160305060614 4622561178460 6933841767690 8320610121228 10400762651535 13867683535380 20801525303070 41603050606140