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1141104096 = 253211360197
BaseRepresentation
bin100010000000011…
…1101110111100000
32221112012002112200
41010000331313200
54314110312341
6305121453200
740164140046
oct10400756740
92845162480
101141104096
1153613a440
1227a1a1200
13152542c32
14ab79c396
156a2a4db6
hex4403dde0

1141104096 has 72 divisors (see below), whose sum is σ = 3540025944. Its totient is φ = 345788160.

The previous prime is 1141104091. The next prime is 1141104113. The reversal of 1141104096 is 6904011411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141104091) 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 11 ways as a sum of consecutive naturals, for example, 176931 + ... + 183266.

It is an arithmetic number, because the mean of its divisors is an integer number (49167027).

Almost surely, 21141104096 is an apocalyptic number.

1141104096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141104096 is an abundant number, since it is smaller than the sum of its proper divisors (2398921848).

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

1141104096 is a wasteful number, since it uses less digits than its factorization.

1141104096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360224 (or 360213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1141104096 is about 33780.2323260217. The cubic root of 1141104096 is about 1044.9810657192.

The spelling of 1141104096 in words is "one billion, one hundred forty-one million, one hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 360197 720394 1080591 1440788 2161182 2881576 3241773 3962167 4322364 5763152 6483546 7924334 8644728 11526304 11886501 12967092 15848668 17289456 23773002 25934184 31697336 34578912 35659503 47546004 51868368 63394672 71319006 95092008 103736736 126789344 142638012 190184016 285276024 380368032 570552048 1141104096