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41611743540 = 223251713598609
BaseRepresentation
bin100110110000010000…
…001101000100110100
310222101222211120222200
4212300100031010310
51140210101243130
631041032024500
73002114661363
oct466020150464
9128358746880
1041611743540
11167138208a4
128093832130
133c01c6a673
14202a67b7da
151138255760
hex9b040d134

41611743540 has 72 divisors (see below), whose sum is σ = 133647139080. Its totient is φ = 10443730944.

The previous prime is 41611743527. The next prime is 41611743571. The reversal of 41611743540 is 4534711614.

41611743540 is a `hidden beast` number, since 4 + 1 + 61 + 17 + 43 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16060999824 + 25550743716 = 126732^2 + 159846^2 .

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 = 41611743495 and 41611743504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6796245 + ... + 6802364.

It is an arithmetic number, because the mean of its divisors is an integer number (1856210265).

Almost surely, 241611743540 is an apocalyptic number.

It is an amenable number.

41611743540 is an abundant number, since it is smaller than the sum of its proper divisors (92035395540).

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

41611743540 is a wasteful number, since it uses less digits than its factorization.

41611743540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13598641 (or 13598636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41611743540 in words is "forty-one billion, six hundred eleven million, seven hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 13598609 27197218 40795827 54394436 67993045 81591654 122387481 135986090 163183308 203979135 231176353 244774962 271972180 407958270 462352706 489549924 611937405 693529059 815916540 924705412 1155881765 1223874810 1387058118 2080587177 2311763530 2447749620 2774116236 3467645295 4161174354 4623527060 6935290590 8322348708 10402935885 13870581180 20805871770 41611743540