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11140591401 = 3215122332
BaseRepresentation
bin10100110000000011…
…11110111100101001
31001202101222200101100
422120001332330221
5140303442411101
65041245312013
7543034315212
oct123001767451
931671880340
1011140591401
1147a7634235
1221aab65609
1310870b0c24
1477982a409
154530b0e86
hex29807ef29

11140591401 has 27 divisors (see below), whose sum is σ = 16269063447. Its totient is φ = 7346210400.

The previous prime is 11140591333. The next prime is 11140591409. The reversal of 11140591401 is 10419504111.

The square root of 11140591401 is 105549.

It is a perfect power (a square), and thus also a powerful number.

11140591401 is a `hidden beast` number, since 111 + 405 + 9 + 140 + 1 = 666.

11140591401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2262429225 + 8878162176 = 47565^2 + 94224^2 .

It is not a de Polignac number, because 11140591401 - 215 = 11140558633 is a prime.

It is a super-2 number, since 2×111405914012 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11140591409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47813581 + ... + 47813813.

Almost surely, 211140591401 is an apocalyptic number.

11140591401 is the 105549-th square number.

11140591401 is the 52775-th centered octagonal number.

It is an amenable number.

11140591401 is a deficient number, since it is larger than the sum of its proper divisors (5128472046).

11140591401 is an frugal number, since it uses more digits than its factorization.

11140591401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 11140591401 in words is "eleven billion, one hundred forty million, five hundred ninety-one thousand, four hundred one".

Divisors: 1 3 9 151 233 453 699 1359 2097 22801 35183 54289 68403 105549 162867 205209 316647 488601 5312633 8197639 15937899 24592917 47813697 73778751 1237843489 3713530467 11140591401