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1444422330 = 2325134726267
BaseRepresentation
bin101011000011000…
…0010001010111010
310201122221020221100
41112012002022322
510424233003310
6355154552230
750536246551
oct12606021272
93648836840
101444422330
1168137a96a
12343898676
131a0333190
14d9b96d98
1586c1bec0
hex561822ba

1444422330 has 96 divisors (see below), whose sum is σ = 4130590464. Its totient is φ = 347971968.

The previous prime is 1444422319. The next prime is 1444422341. The reversal of 1444422330 is 332244441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444422319) and next prime (1444422341).

It is a junction number, because it is equal to n+sod(n) for n = 1444422294 and 1444422303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41857 + ... + 68123.

It is an arithmetic number, because the mean of its divisors is an integer number (43026984).

Almost surely, 21444422330 is an apocalyptic number.

1444422330 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 1444422330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065295232).

1444422330 is an abundant number, since it is smaller than the sum of its proper divisors (2686168134).

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

1444422330 is a wasteful number, since it uses less digits than its factorization.

1444422330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26340 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 1444422330 is about 38005.5565674284. The cubic root of 1444422330 is about 1130.3980454811.

Adding to 1444422330 its reverse (332244441), we get a palindrome (1776666771).

The spelling of 1444422330 in words is "one billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 47 65 78 90 94 117 130 141 195 234 235 282 390 423 470 585 611 705 846 1170 1222 1410 1833 2115 3055 3666 4230 5499 6110 9165 10998 18330 26267 27495 52534 54990 78801 131335 157602 236403 262670 341471 394005 472806 682942 788010 1024413 1182015 1234549 1707355 2048826 2364030 2469098 3073239 3414710 3703647 5122065 6146478 6172745 7407294 10244130 11110941 12345490 15366195 16049137 18518235 22221882 30732390 32098274 37036470 48147411 55554705 80245685 96294822 111109410 144442233 160491370 240737055 288884466 481474110 722211165 1444422330