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15003142245 = 3357132295333
BaseRepresentation
bin11011111100100000…
…11100100001100101
31102201121001121001000
431332100130201211
5221211301022440
610520425223513
71040535414330
oct157620344145
942647047030
1015003142245
1163a9978913
122aa8631b99
1315513a9380
14a24801617
155cc235730
hex37e41c865

15003142245 has 128 divisors (see below), whose sum is σ = 32976921600. Its totient is φ = 6302168064.

The previous prime is 15003142207. The next prime is 15003142249. The reversal of 15003142245 is 54224130051.

15003142245 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-15003142245 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15003142249) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2810599 + ... + 2815931.

It is an arithmetic number, because the mean of its divisors is an integer number (257632200).

Almost surely, 215003142245 is an apocalyptic number.

15003142245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15003142245 is an abundant number, since it is smaller than the sum of its proper divisors (17973779355).

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

15003142245 is a wasteful number, since it uses less digits than its factorization.

15003142245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15003142245 its reverse (54224130051), we get a palindrome (69227272296).

The spelling of 15003142245 in words is "fifteen billion, three million, one hundred forty-two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 229 273 315 351 455 585 687 819 945 1145 1365 1603 1755 2061 2457 2977 3435 4095 4809 5333 6183 8015 8931 10305 12285 14427 14885 15999 20839 24045 26665 26793 30915 37331 43281 44655 47997 62517 69329 72135 79995 80379 104195 111993 133965 143991 186655 187551 207987 216405 239985 312585 335979 346645 401895 485303 559965 562653 623961 719955 937755 1007937 1039935 1221257 1455909 1679895 1871883 2426515 2813265 3119805 3663771 4367727 5039685 6106285 7279545 8548799 9359415 10991313 13103181 15876341 18318855 21838635 25646397 32973939 42743995 47629023 54956565 65515905 76939191 79381705 111134387 128231985 142887069 164869695 230817573 238145115 333403161 384695955 428661207 555671935 714435345 1000209483 1154087865 1667015805 2143306035 3000628449 5001047415 15003142245