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11142430000 = 24541385711
BaseRepresentation
bin10100110000010001…
…11111110100110000
31001202112110002110121
422120020333310300
5140304430230000
65041352540024
7543056043442
oct123010776460
931675402417
1011142430000
1147a867a639
1221ab6b1614
1310875a5a60
14779b88492
15453325b1a
hex29823fd30

11142430000 has 100 divisors (see below), whose sum is σ = 29052425248. Its totient is φ = 4114080000.

The previous prime is 11142429979. The next prime is 11142430001. The reversal of 11142430000 is 3424111.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11142430001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87145 + ... + 172855.

Almost surely, 211142430000 is an apocalyptic number.

11142430000 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 11142430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526212624).

11142430000 is an abundant number, since it is smaller than the sum of its proper divisors (17909995248).

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

11142430000 is an equidigital number, since it uses as much as digits as its factorization.

11142430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85752 (or 85731 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11142430000 its reverse (3424111), we get a palindrome (11145854111).

The spelling of 11142430000 in words is "eleven billion, one hundred forty-two million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 85711 130000 171422 342844 428555 685688 857110 1114243 1371376 1714220 2142775 2228486 3428440 4285550 4456972 5571215 6856880 8571100 8913944 10713875 11142430 17142200 17827888 21427750 22284860 27856075 34284400 42855500 44569720 53569375 55712150 85711000 89139440 107138750 111424300 139280375 171422000 214277500 222848600 278560750 428555000 445697200 557121500 696401875 857110000 1114243000 1392803750 2228486000 2785607500 5571215000 11142430000