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14542421010 = 23513176533359
BaseRepresentation
bin11011000101100101…
…11011110000010010
31101112111010112022120
431202302323300102
5214240324433020
610403010315110
71023242352615
oct154262736022
941474115276
1014542421010
1161928aa167
12299a288a96
1314a9ac7760
149bd55217c
155a1a7a740
hex362cbbc12

14542421010 has 128 divisors (see below), whose sum is σ = 39870351360. Its totient is φ = 3362942976.

The previous prime is 14542420999. The next prime is 14542421029. The reversal of 14542421010 is 1012424541.

14542421010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145424210102 (a number of 21 digits) contains 22 as substring.

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, 4327711 + ... + 4331069.

It is an arithmetic number, because the mean of its divisors is an integer number (311487120).

Almost surely, 214542421010 is an apocalyptic number.

14542421010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14542421010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935175680).

14542421010 is an abundant number, since it is smaller than the sum of its proper divisors (25327930350).

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

14542421010 is a wasteful number, since it uses less digits than its factorization.

14542421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14542421010 its reverse (1012424541), we get a palindrome (15554845551).

The spelling of 14542421010 in words is "fourteen billion, five hundred forty-two million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 653 663 1105 1306 1326 1959 2210 3265 3315 3359 3918 6530 6630 6718 8489 9795 10077 11101 16795 16978 19590 20154 22202 25467 33303 33590 42445 43667 50385 50934 55505 57103 66606 84890 87334 100770 111010 114206 127335 131001 144313 166515 171309 218335 254670 262002 285515 288626 333030 342618 432939 436670 571030 655005 721565 742339 856545 865878 1310010 1443130 1484678 1713090 2164695 2193427 2227017 3711695 4329390 4386854 4454034 6580281 7423390 10967135 11135085 13160562 21934270 22270170 28514551 32901405 37288259 57029102 65802810 74576518 85543653 111864777 142572755 171087306 186441295 223729554 285145510 372882590 427718265 484747367 559323885 855436530 969494734 1118647770 1454242101 2423736835 2908484202 4847473670 7271210505 14542421010