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11004003440 = 2451710974231
BaseRepresentation
bin10100011111110001…
…11100010001110000
31001101212222021220222
422033320330101300
5140014011102230
65015525552212
7536455325453
oct121770742160
931355867828
1011004003440
114737522721
122171275668
1310649c9951
1476563349a
154460d06e5
hex28fe3c470

11004003440 has 80 divisors (see below), whose sum is σ = 27338160960. Its totient is φ = 4104622080.

The previous prime is 11004003433. The next prime is 11004003467. The reversal of 11004003440 is 4430040011.

11004003440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×110040034403 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111125 + ... + 185355.

It is an arithmetic number, because the mean of its divisors is an integer number (341727012).

Almost surely, 211004003440 is an apocalyptic number.

11004003440 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 11004003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669080480).

11004003440 is an abundant number, since it is smaller than the sum of its proper divisors (16334157520).

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

11004003440 is a wasteful number, since it uses less digits than its factorization.

11004003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74370 (or 74364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11004003440 its reverse (4430040011), we get a palindrome (15434043451).

The spelling of 11004003440 in words is "eleven billion, four million, three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 109 136 170 218 272 340 436 545 680 872 1090 1360 1744 1853 2180 3706 4360 7412 8720 9265 14824 18530 29648 37060 74120 74231 148240 148462 296924 371155 593848 742310 1187696 1261927 1484620 2523854 2969240 5047708 5938480 6309635 8091179 10095416 12619270 16182358 20190832 25238540 32364716 40455895 50477080 64729432 80911790 100954160 129458864 137550043 161823580 275100086 323647160 550200172 647294320 687750215 1100400344 1375500430 2200800688 2751000860 5502001720 11004003440