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1141214112 = 25323962549
BaseRepresentation
bin100010000000101…
…1000101110100000
32221112101200110100
41010001120232200
54314122322422
6305124102400
740165105563
oct10401305640
92845350410
101141214112
11536205065
1227a234a00
1315258102c
14ab7ca4da
156a2c77ac
hex44058ba0

1141214112 has 36 divisors (see below), whose sum is σ = 3245328450. Its totient is φ = 380404608.

The previous prime is 1141214111. The next prime is 1141214141. The reversal of 1141214112 is 2114121411.

It can be written as a sum of positive squares in only one way, i.e., 676208016 + 465006096 = 26004^2 + 21564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1141214111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1980987 + ... + 1981562.

Almost surely, 21141214112 is an apocalyptic number.

1141214112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1141214112 is an abundant number, since it is smaller than the sum of its proper divisors (2104114338).

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

1141214112 is a wasteful number, since it uses less digits than its factorization.

1141214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962565 (or 3962554 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1141214112 is about 33781.8606947575. The cubic root of 1141214112 is about 1045.0146475057.

Adding to 1141214112 its reverse (2114121411), we get a palindrome (3255335523).

It can be divided in two parts, 114121411 and 2, that multiplied together give a palindrome (228242822).

The spelling of 1141214112 in words is "one billion, one hundred forty-one million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3962549 7925098 11887647 15850196 23775294 31700392 35662941 47550588 63400784 71325882 95101176 126801568 142651764 190202352 285303528 380404704 570607056 1141214112