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14404342420 = 22513173738737
BaseRepresentation
bin11010110101001000…
…01101001010010100
31101011212022102002201
431122210031022110
5214000002424140
610341155014244
71016644614256
oct153244151224
941155272081
1014404342420
11612196a726
12295bb9a384
131487310b50
149a908bcd6
155948a349a
hex35a90d294

14404342420 has 96 divisors (see below), whose sum is σ = 34588639008. Its totient is φ = 4991680512.

The previous prime is 14404342409. The next prime is 14404342439. The reversal of 14404342420 is 2424340441.

It can be written as a sum of positive squares in 16 ways, for example, as 3945598596 + 10458743824 = 62814^2 + 102268^2 .

It is a super-2 number, since 2×144043424202 (a number of 21 digits) 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, 1644292 + ... + 1653028.

It is an arithmetic number, because the mean of its divisors is an integer number (360298323).

Almost surely, 214404342420 is an apocalyptic number.

14404342420 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 14404342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294319504).

14404342420 is an abundant number, since it is smaller than the sum of its proper divisors (20184296588).

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

14404342420 is a wasteful number, since it uses less digits than its factorization.

14404342420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14404342420 its reverse (2424340441), we get a palindrome (16828682861).

The spelling of 14404342420 in words is "fourteen billion, four hundred four million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 373 442 746 884 1105 1492 1865 2210 3730 4420 4849 6341 7460 8737 9698 12682 17474 19396 24245 25364 31705 34948 43685 48490 63410 82433 87370 96980 113581 126820 148529 164866 174740 227162 297058 329732 412165 454324 567905 594116 742645 824330 1135810 1485290 1648660 1930877 2271620 2970580 3258901 3861754 6517802 7723508 9654385 13035604 16294505 19308770 32589010 38617540 42365713 55401317 65178020 84731426 110802634 169462852 211828565 221605268 277006585 423657130 554013170 720217121 847314260 1108026340 1440434242 2880868484 3601085605 7202171210 14404342420