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11140411000 = 235322349957
BaseRepresentation
bin10100110000000010…
…10010111001111000
31001202101122111220211
422120001102321320
5140303421123000
65041241400504
7543032634235
oct123001227170
931671574824
1011140411000
1147a7520744
1221aaa99134
131087049a94
147797c078c
154530777ba
hex298052e78

11140411000 has 64 divisors (see below), whose sum is σ = 26185985280. Its totient is φ = 4436092800.

The previous prime is 11140410989. The next prime is 11140411003. The reversal of 11140411000 is 11404111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140411003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198022 + ... + 247978.

It is an arithmetic number, because the mean of its divisors is an integer number (409156020).

Almost surely, 211140411000 is an apocalyptic number.

11140411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11140411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092992640).

11140411000 is an abundant number, since it is smaller than the sum of its proper divisors (15045574280).

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

11140411000 is a wasteful number, since it uses less digits than its factorization.

11140411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50201 (or 50187 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11140411000 its reverse (11404111), we get a palindrome (11151815111).

The spelling of 11140411000 in words is "eleven billion, one hundred forty million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 223 250 446 500 892 1000 1115 1784 2230 4460 5575 8920 11150 22300 27875 44600 49957 55750 99914 111500 199828 223000 249785 399656 499570 999140 1248925 1998280 2497850 4995700 6244625 9991400 11140411 12489250 22280822 24978500 44561644 49957000 55702055 89123288 111404110 222808220 278510275 445616440 557020550 1114041100 1392551375 2228082200 2785102750 5570205500 11140411000