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41040240411030 = 2357474439386183
BaseRepresentation
bin10010101010011011011001…
…11100111000000110010110
312101022102000220210010020020
421111031230330320012112
520334400403021123110
6223141343130250010
711434026262460250
oct1125155474700626
9171272026703206
1041040240411030
1112093082882403
124729a59586906
1319b910267b7b3
14a1c502dd0cd0
154b283e107d70
hex25536cf38196

41040240411030 has 128 divisors (see below), whose sum is σ = 115222091563008. Its totient is φ = 9160312916352.

The previous prime is 41040240410989. The next prime is 41040240411061. The reversal of 41040240411030 is 3011404204014.

41040240411030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 320682 + ... + 9065501.

It is an arithmetic number, because the mean of its divisors is an integer number (900172590336).

Almost surely, 241040240411030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41040240411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57611045781504).

41040240411030 is an abundant number, since it is smaller than the sum of its proper divisors (74181851151978).

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

41040240411030 is a wasteful number, since it uses less digits than its factorization.

41040240411030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9386690.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41040240411030 its reverse (3011404204014), we get a palindrome (44051644615044).

The spelling of 41040240411030 in words is "forty-one trillion, forty billion, two hundred forty million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 443 470 658 705 886 987 1329 1410 1645 1974 2215 2658 3101 3290 4430 4935 6202 6645 9303 9870 13290 15505 18606 20821 31010 41642 46515 62463 93030 104105 124926 145747 208210 291494 312315 437241 624630 728735 874482 1457470 2186205 4372410 9386183 18772366 28158549 46930915 56317098 65703281 93861830 131406562 140792745 197109843 281585490 328516405 394219686 441150601 657032810 882301202 985549215 1323451803 1971098430 2205753005 2646903606 3088054207 4158079069 4411506010 6176108414 6617259015 8316158138 9264162621 12474237207 13234518030 15440271035 18528325242 20790395345 24948474414 29106553483 30880542070 41580790690 46320813105 58213106966 62371186035 87319660449 92641626210 124742372070 145532767415 174639320898 195429716243 291065534830 390859432486 436598302245 586289148729 873196604490 977148581215 1172578297458 1368008013701 1954297162430 2736016027402 2931445743645 4104024041103 5862891487290 6840040068505 8208048082206 13680080137010 20520120205515 41040240411030