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1114413104 = 247172772113
BaseRepresentation
bin100001001101100…
…1001100000110000
32212122222001101102
41002123021200300
54240242204404
6302325423532
736421232540
oct10233114060
92778861342
101114413104
1152206a072
1227126aba8
13149b5914c
14a8011320
1567c8171e
hex426c9830

1114413104 has 80 divisors (see below), whose sum is σ = 2623457088. Its totient is φ = 447676416.

The previous prime is 1114413103. The next prime is 1114413127. The reversal of 1114413104 is 4013144111.

It is not an unprimeable number, because it can be changed into a prime (1114413103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526352 + ... + 528464.

Almost surely, 21114413104 is an apocalyptic number.

1114413104 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 1114413104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311728544).

1114413104 is an abundant number, since it is smaller than the sum of its proper divisors (1509043984).

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

1114413104 is a wasteful number, since it uses less digits than its factorization.

1114413104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1114413104 is about 33382.8264830886. The cubic root of 1114413104 is about 1036.7691599305.

Adding to 1114413104 its reverse (4013144111), we get a palindrome (5127557215).

The spelling of 1114413104 in words is "one billion, one hundred fourteen million, four hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 277 476 554 952 1108 1904 1939 2113 2216 3878 4226 4432 4709 7756 8452 9418 14791 15512 16904 18836 29582 31024 32963 33808 35921 37672 59164 65926 71842 75344 118328 131852 143684 236656 251447 263704 287368 502894 527408 574736 585301 1005788 1170602 2011576 2341204 4023152 4097107 4682408 8194214 9364816 9950117 16388428 19900234 32776856 39800468 65553712 69650819 79600936 139301638 159201872 278603276 557206552 1114413104