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41315331311040 = 2635139309617291
BaseRepresentation
bin10010110010011011110011…
…01001011000010111000000
312102021201002110211202112110
421121031321221120113000
520403402244303423130
6223512000131055320
711462635265523063
oct1131157151302700
9172251073752473
1041315331311040
1112189808489156
124773230a41540
131a09032a4c687
14a2b95bc8c8da
154b9a8ea9cab0
hex259379a585c0

41315331311040 has 112 divisors (see below), whose sum is σ = 132119890842240. Its totient is φ = 10938159621120.

The previous prime is 41315331311039. The next prime is 41315331311069. The reversal of 41315331311040 is 4011313351314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41315331310989 and 41315331311007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154675206 + ... + 154942085.

It is an arithmetic number, because the mean of its divisors is an integer number (1179641882520).

Almost surely, 241315331311040 is an apocalyptic number.

41315331311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41315331311040 is an abundant number, since it is smaller than the sum of its proper divisors (90804559531200).

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

41315331311040 is a wasteful number, since it uses less digits than its factorization.

41315331311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309617450 (or 309617440 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 41315331311040 its reverse (4011313351314), we get a palindrome (45326644662354).

The spelling of 41315331311040 in words is "forty-one trillion, three hundred fifteen billion, three hundred thirty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 139 160 192 240 278 320 417 480 556 695 834 960 1112 1390 1668 2085 2224 2780 3336 4170 4448 5560 6672 8340 8896 11120 13344 16680 22240 26688 33360 44480 66720 133440 309617291 619234582 928851873 1238469164 1548086455 1857703746 2476938328 3096172910 3715407492 4644259365 4953876656 6192345820 7430814984 9288518730 9907753312 12384691640 14861629968 18577037460 19815506624 24769383280 29723259936 37154074920 43036803449 49538766560 59446519872 74308149840 86073606898 99077533120 129110410347 148616299680 172147213796 215184017245 258220820694 297232599360 344294427592 430368034490 516441641388 645552051735 688588855184 860736068980 1032883282776 1291104103470 1377177710368 1721472137960 2065766565552 2582208206940 2754355420736 3442944275920 4131533131104 5164416413880 6885888551840 8263066262208 10328832827760 13771777103680 20657665655520 41315331311040