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11104432233440 = 2557131943933497
BaseRepresentation
bin1010000110010111001110…
…1111010001101111100000
31110022120110222022210211012
42201211303233101233200
52423413334122432230
635341150012440052
72224161116420240
oct241456357215740
943276428283735
1011104432233440
1135a13aa55a657
1212b4143a79028
136271b3271220
142a5659101b20
15143cb9a98395
hexa1973bd1be0

11104432233440 has 384 divisors, whose sum is σ = 34778102768640. Its totient is φ = 3251971473408.

The previous prime is 11104432233437. The next prime is 11104432233451. The reversal of 11104432233440 is 4433223440111.

It is a super-2 number, since 2×111044322334402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11104432233397 and 11104432233406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11428772 + ... + 12362268.

It is an arithmetic number, because the mean of its divisors is an integer number (90567975960).

Almost surely, 211104432233440 is an apocalyptic number.

11104432233440 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 11104432233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17389051384320).

11104432233440 is an abundant number, since it is smaller than the sum of its proper divisors (23673670535200).

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

11104432233440 is a wasteful number, since it uses less digits than its factorization.

11104432233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933594 (or 933586 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 11104432233440 its reverse (4433223440111), we get a palindrome (15537655673551).

The spelling of 11104432233440 in words is "eleven trillion, one hundred four billion, four hundred thirty-two million, two hundred thirty-three thousand, four hundred forty".