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1444343420 = 22513231491621
BaseRepresentation
bin101011000010110…
…1110111001111100
310201122210020200202
41112011232321330
510424222442140
6355153143032
750535500522
oct12605567174
93648706622
101444343420
11681326653
1234385aa78
131a03062a0
14d9b76312
1586c03915
hex5616ee7c

1444343420 has 96 divisors (see below), whose sum is σ = 3433449600. Its totient is φ = 506373120.

The previous prime is 1444343419. The next prime is 1444343479. The reversal of 1444343420 is 243434441.

It is a happy number.

It is a super-2 number, since 2×14443434202 = 4172255829794592800, which contains 22 as substring.

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, 890210 + ... + 891830.

It is an arithmetic number, because the mean of its divisors is an integer number (35765100).

Almost surely, 21444343420 is an apocalyptic number.

1444343420 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 1444343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716724800).

1444343420 is an abundant number, since it is smaller than the sum of its proper divisors (1989106180).

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

1444343420 is a wasteful number, since it uses less digits than its factorization.

1444343420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

The square root of 1444343420 is about 38004.5184155779. The cubic root of 1444343420 is about 1130.3774602427.

Adding to 1444343420 its reverse (243434441), we get a palindrome (1687777861).

The spelling of 1444343420 in words is "one billion, four hundred forty-four million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 149 230 260 298 299 460 596 598 745 1196 1490 1495 1621 1937 2980 2990 3242 3427 3874 5980 6484 6854 7748 8105 9685 13708 16210 17135 19370 21073 32420 34270 37283 38740 42146 44551 68540 74566 84292 89102 105365 149132 178204 186415 210730 222755 241529 372830 421460 445510 483058 484679 745660 891020 966116 969358 1207645 1938716 2415290 2423395 3139877 4830580 4846790 5555167 6279754 9693580 11110334 12559508 15699385 22220668 27775835 31398770 55551670 62797540 72217171 111103340 144434342 288868684 361085855 722171710 1444343420