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14023002440 = 2351979311751
BaseRepresentation
bin11010000111101011…
…00000100101001000
31100012021202022222202
431003311200211020
5212204342034230
610235253335332
71004334361016
oct150365404510
940167668882
1014023002440
115a4668a317
122874337548
131426303aa5
149705838b6
15571178a45
hex343d60948

14023002440 has 128 divisors (see below), whose sum is σ = 33785856000. Its totient is φ = 5222880000.

The previous prime is 14023002431. The next prime is 14023002443. The reversal of 14023002440 is 4420032041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (14023002443) 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, 18672065 + ... + 18672815.

It is an arithmetic number, because the mean of its divisors is an integer number (263952000).

Almost surely, 214023002440 is an apocalyptic number.

14023002440 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 14023002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16892928000).

14023002440 is an abundant number, since it is smaller than the sum of its proper divisors (19762853560).

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

14023002440 is a wasteful number, since it uses less digits than its factorization.

14023002440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14023002440 its reverse (4420032041), we get a palindrome (18443034481).

The spelling of 14023002440 in words is "fourteen billion, twenty-three million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 311 316 380 395 622 632 751 760 790 1244 1501 1502 1555 1580 2488 3002 3004 3110 3160 3755 5909 6004 6008 6220 7505 7510 11818 12008 12440 14269 15010 15020 23636 24569 28538 29545 30020 30040 47272 49138 57076 59090 59329 60040 71345 98276 114152 118180 118658 122845 142690 196552 233561 236360 237316 245690 285380 296645 466811 467122 474632 491380 570760 593290 933622 934244 982760 1127251 1167805 1186580 1867244 1868488 2254502 2334055 2335610 2373160 3734488 4437659 4509004 4668110 4671220 5636255 8875318 9018008 9336220 9342440 11272510 17750636 18451319 18672440 22188295 22545020 35501272 36902638 44376590 45090040 73805276 88753180 92256595 147610552 177506360 184513190 350575061 369026380 701150122 738052760 1402300244 1752875305 2804600488 3505750610 7011501220 14023002440