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1144430420 = 2257191812377
BaseRepresentation
bin100010000110110…
…1001111101010100
32221202110002101212
41010031221331110
54320433233140
6305321040552
740234332560
oct10415517524
92852402355
101144430420
11538001571
1227b326158
13153138c83
14abdc66a0
156a710765
hex44369f54

1144430420 has 96 divisors (see below), whose sum is σ = 2908389120. Its totient is φ = 369515520.

The previous prime is 1144430407. The next prime is 1144430437. The reversal of 1144430420 is 240344411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480272 + ... + 482648.

It is an arithmetic number, because the mean of its divisors is an integer number (30295720).

Almost surely, 21144430420 is an apocalyptic number.

1144430420 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 1144430420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454194560).

1144430420 is an abundant number, since it is smaller than the sum of its proper divisors (1763958700).

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

1144430420 is a wasteful number, since it uses less digits than its factorization.

1144430420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1144430420 is about 33829.4312692366. The cubic root of 1144430420 is about 1045.9954556723.

Adding to 1144430420 its reverse (240344411), we get a palindrome (1384774831).

The spelling of 1144430420 in words is "one billion, one hundred forty-four million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 181 190 266 362 380 532 665 724 905 1267 1330 1810 2377 2534 2660 3439 3620 4754 5068 6335 6878 9508 11885 12670 13756 16639 17195 23770 24073 25340 33278 34390 45163 47540 48146 66556 68780 83195 90326 96292 120365 166390 180652 225815 240730 316141 332780 430237 451630 481460 632282 860474 903260 1264564 1580705 1720948 2151185 3011659 3161410 4302370 6023318 6322820 8174503 8604740 12046636 15058295 16349006 30116590 32698012 40872515 57221521 60233180 81745030 114443042 163490060 228886084 286107605 572215210 1144430420