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14242010440 = 2357176744657
BaseRepresentation
bin11010100001110001…
…11101010101001000
31100202112212002111011
431100320331111020
5213131423313230
610313115413304
71012634043220
oct152070752510
940675762434
1014242010440
116049275269
122915754234
13145c7b4b18
149916b3080
155854d9e2a
hex350e3d548

14242010440 has 128 divisors (see below), whose sum is σ = 39356202240. Its totient is φ = 4527046656.

The previous prime is 14242010417. The next prime is 14242010459. The reversal of 14242010440 is 4401024241.

It is a super-2 number, since 2×142420104402 (a number of 21 digits) contains 22 as substring.

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, 296592 + ... + 341248.

It is an arithmetic number, because the mean of its divisors is an integer number (307470330).

Almost surely, 214242010440 is an apocalyptic number.

14242010440 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 14242010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19678101120).

14242010440 is an abundant number, since it is smaller than the sum of its proper divisors (25114191800).

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

14242010440 is a wasteful number, since it uses less digits than its factorization.

14242010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44759 (or 44755 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14242010440 its reverse (4401024241), we get a palindrome (18643034681).

The spelling of 14242010440 in words is "fourteen billion, two hundred forty-two million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 67 68 70 85 119 134 136 140 170 238 268 280 335 340 469 476 536 595 670 680 938 952 1139 1190 1340 1876 2278 2345 2380 2680 3752 4556 4690 4760 5695 7973 9112 9380 11390 15946 18760 22780 31892 39865 44657 45560 63784 79730 89314 159460 178628 223285 312599 318920 357256 446570 625198 759169 893140 1250396 1518338 1562995 1786280 2500792 2992019 3036676 3125990 3795845 5314183 5984038 6073352 6251980 7591690 10628366 11968076 12503960 14960095 15183380 20944133 21256732 23936152 26570915 29920190 30366760 41888266 42513464 50864323 53141830 59840380 83776532 101728646 104720665 106283660 119680760 167553064 203457292 209441330 212567320 254321615 356050261 406914584 418882660 508643230 712100522 837765320 1017286460 1424201044 1780251305 2034572920 2848402088 3560502610 7121005220 14242010440