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11142208018540 = 225107271145113241
BaseRepresentation
bin1010001000100011111101…
…0110011101100001101100
31110110011222122010112002001
42202020333112131201230
52430023220223043130
635410354254542044
72226666205326424
oct242107726354154
943404878115061
1011142208018540
113606424a4a065
1212bb526b07924
1362a9235943a1
142a740012b484
15144c7b17d6ca
hexa223f59d86c

11142208018540 has 96 divisors (see below), whose sum is σ = 23722592560128. Its totient is φ = 4395574080000.

The previous prime is 11142208018523. The next prime is 11142208018559. The reversal of 11142208018540 is 4581080224111.

11142208018540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11142208018540.

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, 841486320 + ... + 841499560.

It is an arithmetic number, because the mean of its divisors is an integer number (247110339168).

Almost surely, 211142208018540 is an apocalyptic number.

11142208018540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11142208018540 is an abundant number, since it is smaller than the sum of its proper divisors (12580384541588).

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

11142208018540 is a wasteful number, since it uses less digits than its factorization.

11142208018540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15079 (or 15077 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The spelling of 11142208018540 in words is "eleven trillion, one hundred forty-two billion, two hundred eight million, eighteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 107 214 271 428 535 542 1070 1084 1355 1451 2140 2710 2902 5420 5804 7255 13241 14510 26482 28997 29020 52964 57994 66205 115988 132410 144985 155257 264820 289970 310514 393221 579940 621028 776285 786442 1416787 1552570 1572884 1966105 2833574 3105140 3588311 3932210 5667148 7083935 7176622 7864420 14167870 14353244 17941555 19212691 28335740 35883110 38425382 42074647 71766220 76850764 84149294 96063455 168298588 192126910 210373235 383949277 384253820 420746470 767898554 841492940 1535797108 1919746385 2055757937 3839492770 4111515874 5206639261 7678985540 8223031748 10278789685 10413278522 20557579370 20826557044 26033196305 41115158740 52066392610 104132785220 557110400927 1114220801854 2228441603708 2785552004635 5571104009270 11142208018540