Search a number
-
+
12388811041071 = 333149171941927
BaseRepresentation
bin1011010001000111111010…
…1011100110100100101111
31121212100200112122110122000
42310101332223212210233
53110434241111303241
642203201412023343
72416030200230013
oct264217653464457
947770615573560
1012388811041071
113a47079947803
12148104b901b53
136bb34bc1396a
1430b89bb64543
151673dc3a1eb6
hexb447eae692f

12388811041071 has 64 divisors (see below), whose sum is σ = 19011295641600. Its totient is φ = 7965218872800.

The previous prime is 12388811041039. The next prime is 12388811041081. The reversal of 12388811041071 is 17014011888321.

12388811041071 is a `hidden beast` number, since 1 + 2 + 3 + 88 + 81 + 10 + 410 + 71 = 666.

It is not a de Polignac number, because 12388811041071 - 25 = 12388811041039 is a prime.

It is a super-2 number, since 2×123888110410712 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12388811041031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295464310 + ... + 295506236.

It is an arithmetic number, because the mean of its divisors is an integer number (297051494400).

Almost surely, 212388811041071 is an apocalyptic number.

12388811041071 is a deficient number, since it is larger than the sum of its proper divisors (6622484600529).

12388811041071 is a wasteful number, since it uses less digits than its factorization.

12388811041071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43177 (or 43171 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 12388811041071 in words is "twelve trillion, three hundred eighty-eight billion, eight hundred eleven million, forty-one thousand, seventy-one".

Divisors: 1 3 9 27 31 93 279 491 719 837 1473 2157 4419 6471 13257 15221 19413 22289 41927 45663 66867 125781 136989 200601 353029 377343 410967 601803 1059087 1132029 1299737 3177261 3899211 9531783 10943899 11697633 20586157 30145513 32831697 35092899 61758471 90436539 98495091 185275413 271309617 295485273 555826239 638170867 813928851 934510903 1914512601 2803532709 5743537803 8410598127 14801446883 17230613409 25231794381 44404340649 133213021947 399639065841 458844853373 1376534560119 4129603680357 12388811041071