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1114401312 = 253238310103
BaseRepresentation
bin100001001101100…
…0110101000100000
32212122221110012200
41002123012220200
54240241320222
6302325253200
736421153263
oct10233065040
92778843180
101114401312
11522061222
12271264200
13149b5397b
14a800acda
1567c7ceac
hex426c6a20

1114401312 has 72 divisors (see below), whose sum is σ = 3177667584. Its totient is φ = 370460544.

The previous prime is 1114401293. The next prime is 1114401329. The reversal of 1114401312 is 2131044111.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 105253 + ... + 115355.

It is an arithmetic number, because the mean of its divisors is an integer number (44134272).

Almost surely, 21114401312 is an apocalyptic number.

1114401312 is a gapful number since it is divisible by the number (12) 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 1114401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588833792).

1114401312 is an abundant number, since it is smaller than the sum of its proper divisors (2063266272).

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

1114401312 is a wasteful number, since it uses less digits than its factorization.

1114401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10502 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1114401312 is about 33382.6498648624. The cubic root of 1114401312 is about 1036.7655031103.

Adding to 1114401312 its reverse (2131044111), we get a palindrome (3245445423).

The spelling of 1114401312 in words is "one billion, one hundred fourteen million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 10103 12256 13788 18384 20206 27576 30309 36768 40412 55152 60618 80824 90927 110304 121236 161648 181854 242472 323296 363708 484944 727416 969888 1454832 2909664 3869449 7738898 11608347 15477796 23216694 30955592 34825041 46433388 61911184 69650082 92866776 123822368 139300164 185733552 278600328 371467104 557200656 1114401312