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1144130420 = 2254113110651
BaseRepresentation
bin100010000110010…
…0000101101110100
32221201212211212202
41010030200231310
54320344133140
6305310404032
740231643126
oct10414405564
92851784782
101144130420
11537917134
1227b200618
13153062564
14abd49216
156a6a1915
hex44320b74

1144130420 has 48 divisors (see below), whose sum is σ = 2480296896. Its totient is φ = 443040000.

The previous prime is 1144130371. The next prime is 1144130431. The reversal of 1144130420 is 240314411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1144130392 and 1144130401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102095 + ... + 112745.

It is an arithmetic number, because the mean of its divisors is an integer number (51672852).

Almost surely, 21144130420 is an apocalyptic number.

1144130420 is a gapful number since it is divisible by the number (10) 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 1144130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240148448).

1144130420 is an abundant number, since it is smaller than the sum of its proper divisors (1336166476).

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

1144130420 is a wasteful number, since it uses less digits than its factorization.

1144130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1144130420 is about 33824.9969696968. The cubic root of 1144130420 is about 1045.9040489036.

Adding to 1144130420 its reverse (240314411), we get a palindrome (1384444831).

The spelling of 1144130420 in words is "one billion, one hundred forty-four million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 2620 5371 10651 10742 21302 21484 26855 42604 53255 53710 106510 107420 213020 436691 873382 1395281 1746764 2183455 2790562 4366910 5581124 6976405 8733820 13952810 27905620 57206521 114413042 228826084 286032605 572065210 1144130420