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11111041040 = 2451120276229
BaseRepresentation
bin10100101100100010…
…10000100000010000
31001200100101100220112
422112101100200100
5140223411303130
65034312100452
7542225201441
oct122621204020
931610340815
1011111041040
114791990650
1221a1094728
131080c357c8
147759372c8
154506c5495
hex296450810

11111041040 has 80 divisors (see below), whose sum is σ = 28200070080. Its totient is φ = 4037736960.

The previous prime is 11111041037. The next prime is 11111041079. The reversal of 11111041040 is 4014011111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780646 + ... + 1786874.

It is an arithmetic number, because the mean of its divisors is an integer number (352500876).

Almost surely, 211111041040 is an apocalyptic number.

11111041040 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 11111041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100035040).

11111041040 is an abundant number, since it is smaller than the sum of its proper divisors (17089029040).

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

11111041040 is a wasteful number, since it uses less digits than its factorization.

11111041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11111041040 its reverse (4014011111), we get a palindrome (15125052151).

The spelling of 11111041040 in words is "eleven billion, one hundred eleven million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2027 4054 6229 8108 10135 12458 16216 20270 22297 24916 31145 32432 40540 44594 49832 62290 68519 81080 89188 99664 111485 124580 137038 162160 178376 222970 249160 274076 342595 356752 445940 498320 548152 685190 891880 1096304 1370380 1783760 2740760 5481520 12626183 25252366 50504732 63130915 101009464 126261830 138888013 202018928 252523660 277776026 505047320 555552052 694440065 1010094640 1111104104 1388880130 2222208208 2777760260 5555520520 11111041040