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1444430130 = 23511132314639
BaseRepresentation
bin101011000011000…
…0100000100110010
310201122221122122020
41112012010010302
510424233231010
6355155052310
750536311363
oct12606040462
93648848566
101444430130
11681385810
123438a1096
131a03368b0
14d9b99b6a
1586c1e470
hex56184132

1444430130 has 128 divisors (see below), whose sum is σ = 4250050560. Its totient is φ = 309154560.

The previous prime is 1444430101. The next prime is 1444430131. The reversal of 1444430130 is 310344441.

It is a self number, because there is not a number n which added to its sum of digits gives 1444430130.

It is not an unprimeable number, because it can be changed into a prime (1444430131) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 91351 + ... + 105989.

It is an arithmetic number, because the mean of its divisors is an integer number (33203520).

Almost surely, 21444430130 is an apocalyptic number.

1444430130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125025280).

1444430130 is an abundant number, since it is smaller than the sum of its proper divisors (2805620430).

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

1444430130 is a wasteful number, since it uses less digits than its factorization.

1444430130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1444430130 is about 38005.6591838637. The cubic root of 1444430130 is about 1130.4000802251.

Adding to 1444430130 its reverse (310344441), we get a palindrome (1754774571).

The spelling of 1444430130 in words is "one billion, four hundred forty-four million, four hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 23 26 30 33 39 46 55 65 66 69 78 110 115 130 138 143 165 195 230 253 286 299 330 345 390 429 506 598 690 715 759 858 897 1265 1430 1495 1518 1794 2145 2530 2990 3289 3795 4290 4485 6578 7590 8970 9867 14639 16445 19734 29278 32890 43917 49335 73195 87834 98670 146390 161029 190307 219585 322058 336697 380614 439170 483087 570921 673394 805145 951535 966174 1010091 1141842 1610290 1683485 1903070 2020182 2093377 2415435 2854605 3366970 3703667 4186754 4377061 4830870 5050455 5709210 6280131 7407334 8754122 10100910 10466885 11111001 12560262 13131183 18518335 20933770 21885305 22222002 26262366 31400655 37036670 43770610 48147671 55555005 62801310 65655915 96295342 111110010 131311830 144443013 240738355 288886026 481476710 722215065 1444430130