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41241144044340 = 22335296832572937
BaseRepresentation
bin10010110000010001100111…
…01111011010101100110100
312102000121121020102010121000
421120020303233122230310
520401143330333404330
6223413530420323300
711454400665254562
oct1130106357325464
9172017536363530
1041241144044340
11121602a8727699
124760987843530
131a0203bc67026
14a281210d6a32
154b7b9ba75560
hex258233bdab34

41241144044340 has 96 divisors (see below), whose sum is σ = 128310153874560. Its totient is φ = 10997263634688.

The previous prime is 41241144044279. The next prime is 41241144044341. The reversal of 41241144044340 is 4344044114214.

41241144044340 is a `hidden beast` number, since 4 + 1 + 24 + 114 + 40 + 443 + 40 = 666.

41241144044340 is digitally balanced in base 2, 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 = 41241144044295 and 41241144044304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41241144044341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14742352 + ... + 17315288.

It is an arithmetic number, because the mean of its divisors is an integer number (1336564102860).

Almost surely, 241241144044340 is an apocalyptic number.

It is an amenable number.

41241144044340 is an abundant number, since it is smaller than the sum of its proper divisors (87069009830220).

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

41241144044340 is a wasteful number, since it uses less digits than its factorization.

41241144044340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602638 (or 2602630 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 41241144044340 its reverse (4344044114214), we get a palindrome (45585188158554).

The spelling of 41241144044340 in words is "forty-one trillion, two hundred forty-one billion, one hundred forty-four million, forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 29683 59366 89049 118732 148415 178098 267147 296830 356196 445245 534294 593660 801441 890490 1068588 1335735 1602882 1780980 2572937 2671470 3205764 4007205 5145874 5342940 7718811 8014410 10291748 12864685 15437622 16028820 23156433 25729370 30875244 38594055 46312866 51458740 69469299 77188110 92625732 115782165 138938598 154376220 231564330 277877196 347346495 463128660 694692990 1389385980 76372488971 152744977942 229117466913 305489955884 381862444855 458234933826 687352400739 763724889710 916469867652 1145587334565 1374704801478 1527449779420 2062057202217 2291174669130 2749409602956 3436762003695 4124114404434 4582349338260 6873524007390 8248228808868 10310286011085 13747048014780 20620572022170 41241144044340