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1304241014050 = 252132179793601
BaseRepresentation
bin10010111110101010110…
…100101000010100100010
311121200110210120021210121
4102332222310220110202
5132332041144422200
62435054323150454
7163141210463002
oct22765264502442
94550423507717
101304241014050
11463142061887
1219092b81542a
1395cb2933400
14471a891a002
1523dd6406e1a
hex12faad28522

1304241014050 has 144 divisors (see below), whose sum is σ = 2810073940632. Its totient is φ = 448561152000.

The previous prime is 1304241014047. The next prime is 1304241014107. The reversal of 1304241014050 is 504101424031.

It can be written as a sum of positive squares in 36 ways, for example, as 287614472209 + 1016626541841 = 536297^2 + 1008279^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13887250 + ... + 13980850.

Almost surely, 21304241014050 is an apocalyptic number.

1304241014050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304241014050 is an abundant number, since it is smaller than the sum of its proper divisors (1505832926582).

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

1304241014050 is a wasteful number, since it uses less digits than its factorization.

1304241014050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93753 (or 93735 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1304241014050 its reverse (504101424031), we get a palindrome (1808342438081).

The spelling of 1304241014050 in words is "one trillion, three hundred four billion, two hundred forty-one million, fourteen thousand, fifty".

Divisors: 1 2 5 10 13 17 25 26 34 50 65 85 97 130 169 170 194 221 325 338 425 442 485 650 845 850 970 1105 1261 1649 1690 2210 2425 2522 2873 3298 4225 4850 5525 5746 6305 8245 8450 11050 12610 14365 16393 16490 21437 28730 31525 32786 41225 42874 63050 71825 81965 82450 93601 107185 143650 163930 187202 214370 278681 409825 468005 535925 557362 819650 936010 1071850 1216813 1393405 1591217 2340025 2433626 2786810 3182434 4680050 6084065 6967025 7956085 9079297 12168130 13934050 15818569 15912170 18158594 20685821 30420325 31637138 39780425 41371642 45396485 60840650 79092845 79560850 90792970 103429105 118030861 154348049 158185690 206858210 226982425 236061722 268915673 308696098 395464225 453964850 517145525 537831346 590154305 771740245 790928450 1034291050 1180308610 1344578365 1534401193 1543480490 2006524637 2689156730 2950771525 3068802386 3858701225 4013049274 5901543050 6722891825 7672005965 7717402450 10032623185 13445783650 15344011930 20065246370 26084820281 38360029825 50163115925 52169640562 76720059650 100326231850 130424101405 260848202810 652120507025 1304241014050