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1444502430 = 233573172411
BaseRepresentation
bin101011000011001…
…0101101110011110
310201200002022211000
41112012111232132
510424243034210
6355200411130
750540032230
oct12606255636
93650068730
101444502430
11681425068
12343916aa6
131a0360787
14d9bb8250
1586c35ac0
hex56195b9e

1444502430 has 128 divisors (see below), whose sum is σ = 4418012160. Its totient is φ = 328993920.

The previous prime is 1444502351. The next prime is 1444502431. The reversal of 1444502430 is 342054441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1444502394 and 1444502403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444502431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 597925 + ... + 600335.

It is an arithmetic number, because the mean of its divisors is an integer number (34515720).

Almost surely, 21444502430 is an apocalyptic number.

1444502430 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 1444502430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209006080).

1444502430 is an abundant number, since it is smaller than the sum of its proper divisors (2973509730).

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

1444502430 is a wasteful number, since it uses less digits than its factorization.

1444502430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1444502430 is about 38006.6103460964. The cubic root of 1444502430 is about 1130.4189403879.

Adding to 1444502430 its reverse (342054441), we get a palindrome (1786556871).

The spelling of 1444502430 in words is "one billion, four hundred forty-four million, five hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 317 378 630 634 945 951 1585 1890 1902 2219 2411 2853 3170 4438 4755 4822 5706 6657 7233 8559 9510 11095 12055 13314 14265 14466 16877 17118 19971 21699 22190 24110 28530 33285 33754 36165 39942 42795 43398 50631 59913 65097 66570 72330 84385 85590 99855 101262 108495 119826 130194 151893 168770 199710 216990 253155 299565 303786 325485 455679 506310 599130 650970 759465 764287 911358 1518930 1528574 2278395 2292861 3821435 4556790 4585722 5350009 6878583 7642870 10700018 11464305 13757166 16050027 20635749 22928610 26750045 32100054 34392915 41271498 48150081 53500090 68785830 80250135 96300162 103178745 144450243 160500270 206357490 240750405 288900486 481500810 722251215 1444502430