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11111434000 = 245310353939
BaseRepresentation
bin10100101100100101…
…10000011100010000
31001200101010022221121
422112102300130100
5140224011342000
65034324332024
7542231426212
oct122622603420
931611108847
1011111434000
114792129907
1221a1244014
131081042624
147759da5b2
15450751b1a
hex2964b0710

11111434000 has 80 divisors (see below), whose sum is σ = 27128799360. Its totient is φ = 4401340800.

The previous prime is 11111433989. The next prime is 11111434001. The reversal of 11111434000 is 43411111.

It is a tau number, because it is divible by the number of its divisors (80).

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 (11111434001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179031 + ... + 232969.

It is an arithmetic number, because the mean of its divisors is an integer number (339109992).

Almost surely, 211111434000 is an apocalyptic number.

11111434000 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 11111434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564399680).

11111434000 is an abundant number, since it is smaller than the sum of its proper divisors (16017365360).

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

11111434000 is a wasteful number, since it uses less digits than its factorization.

11111434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54065 (or 54049 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11111434000 its reverse (43411111), we get a palindrome (11154845111).

The spelling of 11111434000 in words is "eleven billion, one hundred eleven million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 500 515 824 1000 1030 1648 2000 2060 2575 4120 5150 8240 10300 12875 20600 25750 41200 51500 53939 103000 107878 206000 215756 269695 431512 539390 863024 1078780 1348475 2157560 2696950 4315120 5393900 5555717 6742375 10787800 11111434 13484750 21575600 22222868 26969500 27778585 44445736 53939000 55557170 88891472 107878000 111114340 138892925 222228680 277785850 444457360 555571700 694464625 1111143400 1388929250 2222286800 2777858500 5555717000 11111434000