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14242413120 = 2635131141219
BaseRepresentation
bin11010100001110100…
…11111101001000000
31100202120121112212020
431100322133221000
5213132024204440
610313132201440
71012640341215
oct152072375100
940676545766
1014242413120
11604951a861
122915909280
13145c8c61b0
14991779b0c
155855693d0
hex350e9fa40

14242413120 has 112 divisors (see below), whose sum is σ = 48698139840. Its totient is φ = 3505821696.

The previous prime is 14242413079. The next prime is 14242413121. The reversal of 14242413120 is 2131424241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14242413121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 558130 + ... + 583089.

It is an arithmetic number, because the mean of its divisors is an integer number (434804820).

Almost surely, 214242413120 is an apocalyptic number.

14242413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14242413120 is an abundant number, since it is smaller than the sum of its proper divisors (34455726720).

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

14242413120 is a wasteful number, since it uses less digits than its factorization.

14242413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141252 (or 1141242 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14242413120 its reverse (2131424241), we get a palindrome (16373837361).

The spelling of 14242413120 in words is "fourteen billion, two hundred forty-two million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 1141219 2282438 3423657 4564876 5706095 6847314 9129752 11412190 13694628 14835847 17118285 18259504 22824380 27389256 29671694 34236570 36519008 44507541 45648760 54778512 59343388 68473140 73038016 74179235 89015082 91297520 109557024 118686776 136946280 148358470 178030164 182595040 219114048 222537705 237373552 273892560 296716940 356060328 365190080 445075410 474747104 547785120 593433880 712120656 890150820 949494208 1095570240 1186867760 1424241312 1780301640 2373735520 2848482624 3560603280 4747471040 7121206560 14242413120