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1444263540 = 223541718269
BaseRepresentation
bin101011000010101…
…1011011001110100
310201122122012010020
41112011123121310
510424212413130
6355151325140
750535015606
oct12605333164
93648565106
101444263540
11681281635
123438207b0
131a02a8b15
14d9b55176
1586bd9e10
hex5615b674

1444263540 has 96 divisors (see below), whose sum is σ = 4201424640. Its totient is φ = 370406400.

The previous prime is 1444263533. The next prime is 1444263547. The reversal of 1444263540 is 453624441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1444263533) and next prime (1444263547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444263547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170526 + ... + 178794.

It is an arithmetic number, because the mean of its divisors is an integer number (43764840).

Almost surely, 21444263540 is an apocalyptic number.

1444263540 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 1444263540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100712320).

1444263540 is an abundant number, since it is smaller than the sum of its proper divisors (2757161100).

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

1444263540 is a wasteful number, since it uses less digits than its factorization.

1444263540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8393 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1444263540 is about 38003.4674733767. The cubic root of 1444263540 is about 1130.3566211969.

Adding to 1444263540 its reverse (453624441), we get a palindrome (1897887981).

The spelling of 1444263540 in words is "one billion, four hundred forty-four million, two hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 71 82 123 142 164 205 213 246 284 355 410 426 492 615 710 820 852 1065 1230 1420 2130 2460 2911 4260 5822 8269 8733 11644 14555 16538 17466 24807 29110 33076 34932 41345 43665 49614 58220 82690 87330 99228 124035 165380 174660 248070 339029 496140 587099 678058 1017087 1174198 1356116 1695145 1761297 2034174 2348396 2935495 3390290 3522594 4068348 5085435 5870990 6780580 7045188 8806485 10170870 11741980 17612970 20341740 24071059 35225940 48142118 72213177 96284236 120355295 144426354 240710590 288852708 361065885 481421180 722131770 1444263540