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11413422431411 = 71113173301203183
BaseRepresentation
bin1010011000010110010011…
…1111010101110010110011
31111102010001000220012201112
42212011210333111302303
52443444142120301121
640135130501023535
72255410150650410
oct246054477256263
944363030805645
1011413422431411
113700450462730
121343bb80b4bab
1364a3867ca6b0
142b65ac227107
1514bd5164975b
hexa6164fd5cb3

11413422431411 has 64 divisors (see below), whose sum is σ = 16230741037056. Its totient is φ = 7724166912000.

The previous prime is 11413422431393. The next prime is 11413422431441.

11413422431411 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11413422431411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11413422431441) 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, 56071526 + ... + 56274708.

It is an arithmetic number, because the mean of its divisors is an integer number (253605328704).

Almost surely, 211413422431411 is an apocalyptic number.

11413422431411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11413422431411 is a deficient number, since it is larger than the sum of its proper divisors (4817318605645).

11413422431411 is a wasteful number, since it uses less digits than its factorization.

11413422431411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206532.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 1141342 and 2431411, that added together give a palindrome (3572753).

The spelling of 11413422431411 in words is "eleven trillion, four hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, four hundred eleven".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 3301 17017 23107 36311 42913 56117 203183 254177 300391 392819 472043 617287 729521 1422281 2235013 2641379 3304301 3454111 4321009 5106647 8024731 15645091 18489653 24178777 29055169 37995221 44903443 56173117 203386183 265966547 314324101 493937873 670707083 3457565111 4694949581 7377777913 8719192079 11402020411 51644445391 61034344553 79814142877 95911112869 125422224521 148226265343 671377790083 877955571647 1037583857401 1630488918773 11413422431411