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11311412104044 = 22321368413533063
BaseRepresentation
bin1010010010011010010010…
…1100110100101101101100
31111001100201202110122202200
42210212210230310231230
52440311232444312134
640020220241421500
72245136223325233
oct244464454645554
944040652418680
1011311412104044
113671163276958
12132828903a890
1364087a669040
142b16921bdb1a
15149380bac499
hexa49a4b34b6c

11311412104044 has 72 divisors (see below), whose sum is σ = 30796687233312. Its totient is φ = 3479924747520.

The previous prime is 11311412104019. The next prime is 11311412104061. The reversal of 11311412104044 is 44040121411311.

11311412104044 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 41 + 210 + 404 + 4 = 666.

It is a super-2 number, since 2×113114121040442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11311412103999 and 11311412104017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435057 + ... + 4968119.

Almost surely, 211311412104044 is an apocalyptic number.

It is an amenable number.

11311412104044 is an abundant number, since it is smaller than the sum of its proper divisors (19485275129268).

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

11311412104044 is a wasteful number, since it uses less digits than its factorization.

11311412104044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539927 (or 3539922 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11311412104044 its reverse (44040121411311), we get a palindrome (55351533515355).

The spelling of 11311412104044 in words is "eleven trillion, three hundred eleven billion, four hundred twelve million, one hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 6841 13682 20523 27364 41046 61569 82092 88933 123138 177866 246276 266799 355732 533598 800397 1067196 1600794 3201588 3533063 7066126 10599189 14132252 21198378 31797567 42396756 45929819 63595134 91859638 127190268 137789457 183719276 275578914 413368371 551157828 826736742 1653473484 24169683983 48339367966 72509051949 96678735932 145018103898 217527155847 290036207796 314205891779 435054311694 628411783558 870108623388 942617675337 1256823567116 1885235350674 2827853026011 3770470701348 5655706052022 11311412104044