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1444240343430 = 233523415672363
BaseRepresentation
bin10101000001000011011…
…011101100000110000110
312010001211121000002122000
4111001003123230012012
5142130301011442210
63023250322450130
7206225423240103
oct25010333540606
95101747002560
101444240343430
11507554028095
121b3aa1203946
13a626431c091
144dc8a011aaa
152787c044ac0
hex150436ec186

1444240343430 has 128 divisors (see below), whose sum is σ = 4116774896640. Its totient is φ = 359400856320.

The previous prime is 1444240343393. The next prime is 1444240343443. The reversal of 1444240343430 is 343430424441.

1444240343430 is a `hidden beast` number, since 1 + 4 + 44 + 240 + 34 + 343 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 2581572 + ... + 3090791.

It is an arithmetic number, because the mean of its divisors is an integer number (32162303880).

Almost surely, 21444240343430 is an apocalyptic number.

1444240343430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1444240343430 is an abundant number, since it is smaller than the sum of its proper divisors (2672534553210).

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

1444240343430 is a wasteful number, since it uses less digits than its factorization.

1444240343430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672443 (or 5672437 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1444240343430 its reverse (343430424441), we get a palindrome (1787670767871).

The spelling of 1444240343430 in words is "one trillion, four hundred forty-four billion, two hundred forty million, three hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 41 45 46 54 69 82 90 115 123 135 138 205 207 230 246 270 345 369 410 414 615 621 690 738 943 1035 1107 1230 1242 1845 1886 2070 2214 2829 3105 3690 4715 5535 5658 6210 8487 9430 11070 14145 16974 25461 28290 42435 50922 84870 127305 254610 5672363 11344726 17017089 28361815 34034178 51051267 56723630 85085445 102102534 130464349 153153801 170170890 232566883 255256335 260928698 306307602 391393047 465133766 510512670 652321745 697700649 765769005 782786094 1162834415 1174179141 1304643490 1395401298 1531538010 1956965235 2093101947 2325668830 2348358282 3488503245 3522537423 3913930470 4186203894 5349038309 5870895705 6279305841 6977006490 7045074846 10465509735 10698076618 11741791410 12558611682 16047114927 17612687115 20931019470 26745191545 31396529205 32094229854 35225374230 48141344781 53490383090 62793058410 80235574635 96282689562 144424034343 160471149270 240706723905 288848068686 481413447810 722120171715 1444240343430