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13144422500010 = 23251747182789911
BaseRepresentation
bin1011111101000110110010…
…1000100100011010101010
31201112121001101220200112100
42333101230220210122222
53210324234130000020
643542244143554230
72524440020526624
oct277215450443252
951477041820470
1013144422500010
11420857791061a
1215835885bb976
1374468a85a709
1433629cb47c14
1517bdb3788a90
hexbf46ca246aa

13144422500010 has 96 divisors (see below), whose sum is σ = 36955733248512. Its totient is φ = 3228800970240.

The previous prime is 13144422500003. The next prime is 13144422500063. The reversal of 13144422500010 is 1000522444131.

13144422500010 is a `hidden beast` number, since 1 + 3 + 144 + 4 + 2 + 2 + 500 + 0 + 10 = 666.

13144422500010 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-4 number, since 4×131444225000104 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91323046 + ... + 91466865.

It is an arithmetic number, because the mean of its divisors is an integer number (384955554672).

Almost surely, 213144422500010 is an apocalyptic number.

13144422500010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13144422500010 is an abundant number, since it is smaller than the sum of its proper divisors (23811310748502).

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

13144422500010 is a wasteful number, since it uses less digits than its factorization.

13144422500010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182789988 (or 182789985 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 13144422500010 its reverse (1000522444131), we get a palindrome (14144944944141).

The spelling of 13144422500010 in words is "thirteen trillion, one hundred forty-four billion, four hundred twenty-two million, five hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 306 423 470 510 705 765 799 846 1410 1530 1598 2115 2397 3995 4230 4794 7191 7990 11985 14382 23970 35955 71910 182789911 365579822 548369733 913949555 1096739466 1645109199 1827899110 2741848665 3107428487 3290218398 5483697330 6214856974 8225545995 8591125817 9322285461 15537142435 16451091990 17182251634 18644570922 25773377451 27966856383 31074284870 42955629085 46611427305 51546754902 55933712766 77320132353 85911258170 93222854610 128866887255 139834281915 146049138889 154640264706 257733774510 279668563830 292098277778 386600661765 438147416667 730245694445 773201323530 876294833334 1314442250001 1460491388890 2190737083335 2628884500002 4381474166670 6572211250005 13144422500010