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1144021032 = 2332721141719
BaseRepresentation
bin100010000110000…
…0110000000101000
32221201200021211100
41010030012000220
54320332133112
6305304201400
740231006200
oct10414060050
92851607740
101144021032
11537851a30
1227b169260
1315302482b
14abd1b400
156a67e2dc
hex44306028

1144021032 has 288 divisors, whose sum is σ = 4033411200. Its totient is φ = 289497600.

The previous prime is 1144020959. The next prime is 1144021133. The reversal of 1144021032 is 2301204411.

1144021032 is a `hidden beast` number, since 11 + 440 + 210 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144020996 and 1144021014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590769 + ... + 1591487.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 21144021032 is an apocalyptic number.

1144021032 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 1144021032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016705600).

1144021032 is an abundant number, since it is smaller than the sum of its proper divisors (2889390168).

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

1144021032 is a wasteful number, since it uses less digits than its factorization.

1144021032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1144021032 is about 33823.3799612044. The cubic root of 1144021032 is about 1045.8707155829.

Adding to 1144021032 its reverse (2301204411), we get a palindrome (3445225443).

The spelling of 1144021032 in words is "one billion, one hundred forty-four million, twenty-one thousand, thirty-two".