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11412444440540 = 22511134784901387
BaseRepresentation
bin1010011000010010101010…
…1100100110011111011100
31111102000111212122010110102
42212010222230212133130
52443440141234044130
640134445443200232
72255344004114153
oct246045254463734
944360455563412
1011412444440540
1136aaa99401710
121343984676078
1364a25bcc8280
142b65183a859a
1514bce5864645
hexa612ab267dc

11412444440540 has 96 divisors (see below), whose sum is σ = 28755081298944. Its totient is φ = 3749245205760.

The previous prime is 11412444440533. The next prime is 11412444440567. The reversal of 11412444440540 is 4504444421411.

11412444440540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11412444440494 and 11412444440503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42316274 + ... + 42585113.

It is an arithmetic number, because the mean of its divisors is an integer number (299532096864).

Almost surely, 211412444440540 is an apocalyptic number.

11412444440540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11412444440540 is an abundant number, since it is smaller than the sum of its proper divisors (17342636858404).

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

11412444440540 is a wasteful number, since it uses less digits than its factorization.

11412444440540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84901467 (or 84901465 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 38.

Adding to 11412444440540 its reverse (4504444421411), we get a palindrome (15916888861951).

The spelling of 11412444440540 in words is "eleven trillion, four hundred twelve billion, four hundred forty-four million, four hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 130 143 188 220 235 260 286 470 517 572 611 715 940 1034 1222 1430 2068 2444 2585 2860 3055 5170 6110 6721 10340 12220 13442 26884 33605 67210 134420 84901387 169802774 339605548 424506935 849013870 933915257 1103718031 1698027740 1867830514 2207436062 3735661028 3990365189 4414872124 4669576285 5518590155 7980730378 9339152570 11037180310 12140898341 15961460756 18678305140 19951825945 22074360620 24281796682 39903651890 43894017079 48563593364 51874747457 60704491705 79807303780 87788034158 103749494914 121408983410 175576068316 207498989828 219470085395 242817966820 259373737285 438940170790 518747474570 570622222027 877880341580 1037494949140 1141244444054 2282488888108 2853111110135 5706222220270 11412444440540