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11410041104 = 24711471011951
BaseRepresentation
bin10101010000001011…
…10110100100010000
31002110012000010212222
422220011312210100
5141331432303404
65124112440212
7552515514650
oct125005664420
932405003788
1011410041104
114925741840
122265249068
1310cab73417
147a352a360
1546ba87dbe
hex2a8176910

11410041104 has 160 divisors (see below), whose sum is σ = 28441608192. Its totient is φ = 4305600000.

The previous prime is 11410041077. The next prime is 11410041119. The reversal of 11410041104 is 40114001411.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5847329 + ... + 5849279.

Almost surely, 211410041104 is an apocalyptic number.

11410041104 is a gapful number since it is divisible by the number (14) 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 11410041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220804096).

11410041104 is an abundant number, since it is smaller than the sum of its proper divisors (17031567088).

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

11410041104 is a wasteful number, since it uses less digits than its factorization.

11410041104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11410041104 its reverse (40114001411), we get a palindrome (51524042515).

The spelling of 11410041104 in words is "eleven billion, four hundred ten million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 101 112 154 176 188 202 308 329 376 404 517 616 658 707 752 808 1034 1111 1232 1316 1414 1616 1951 2068 2222 2632 2828 3619 3902 4136 4444 4747 5264 5656 7238 7777 7804 8272 8888 9494 11312 13657 14476 15554 15608 17776 18988 21461 27314 28952 31108 31216 33229 37976 42922 52217 54628 57904 62216 66458 75952 85844 91697 104434 109256 124432 132916 150227 171688 183394 197051 208868 218512 265832 300454 343376 365519 366788 394102 417736 531664 600908 641879 731038 733576 788204 835472 1008667 1201816 1283758 1379357 1462076 1467152 1576408 2017334 2167561 2403632 2567516 2758714 2924152 3152816 4034668 4335122 5135032 5517428 5848304 7060669 8069336 8670244 9261397 10270064 11034856 14121338 15172927 16138672 17340488 18522794 22069712 28242676 30345854 34680976 37045588 56485352 60691708 64829779 74091176 101875367 112970704 121383416 129659558 148182352 203750734 242766832 259319116 407501468 518638232 713127569 815002936 1037276464 1426255138 1630005872 2852510276 5705020552 11410041104