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11140104430 = 2572133495011
BaseRepresentation
bin10100110000000000…
…01000000011101110
31001202101001221101101
422120000020003232
5140303331320210
65041231033314
7543030216400
oct123000100356
931671057341
1011140104430
1147a7331384
1221aa96b83a
131086c70390
14779740b70
15453016a3a
hex2980080ee

11140104430 has 96 divisors (see below), whose sum is σ = 25197328800. Its totient is φ = 3514855680.

The previous prime is 11140104419. The next prime is 11140104439. The reversal of 11140104430 is 3440104111.

It is a super-2 number, since 2×111401044302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11140104398 and 11140104407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140104439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2220625 + ... + 2225635.

It is an arithmetic number, because the mean of its divisors is an integer number (262472175).

Almost surely, 211140104430 is an apocalyptic number.

11140104430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11140104430 is an abundant number, since it is smaller than the sum of its proper divisors (14057224370).

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

11140104430 is a wasteful number, since it uses less digits than its factorization.

11140104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11140104430 its reverse (3440104111), we get a palindrome (14580208541).

The spelling of 11140104430 in words is "eleven billion, one hundred forty million, one hundred four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 349 455 490 637 698 910 1274 1745 2443 3185 3490 4537 4886 5011 6370 9074 10022 12215 17101 22685 24430 25055 31759 34202 35077 45370 50110 63518 65143 70154 85505 130286 158795 171010 175385 222313 245539 317590 325715 350770 444626 456001 491078 651430 912002 1111565 1227695 1748839 2223130 2280005 2455390 3192007 3497678 4560010 6384014 8744195 12241873 15960035 17488390 22734907 24483746 31920070 45469814 61209365 85693111 113674535 122418730 159144349 171386222 227349070 318288698 428465555 795721745 856931110 1114010443 1591443490 2228020886 5570052215 11140104430