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844063137141 = 372171923772907
BaseRepresentation
bin11000100100001100001…
…01010101110101110101
32222200200012201000210220
430102012011111311311
5102312120130342031
61443431322204553
7114660446200500
oct14220605256565
92880605630726
10844063137141
112a5a686aa914
12117703053759
1361796a584a3
142cbd2400137
1516e51871596
hexc486155d75

844063137141 has 96 divisors (see below), whose sum is σ = 1522566927360. Its totient is φ = 411359122944.

The previous prime is 844063137133. The next prime is 844063137143. The reversal of 844063137141 is 141731360448.

It is not a de Polignac number, because 844063137141 - 23 = 844063137133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 844063137093 and 844063137102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844063137143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 705610 + ... + 1478516.

It is an arithmetic number, because the mean of its divisors is an integer number (15860072160).

Almost surely, 2844063137141 is an apocalyptic number.

It is an amenable number.

844063137141 is a deficient number, since it is larger than the sum of its proper divisors (678503790219).

844063137141 is a wasteful number, since it uses less digits than its factorization.

844063137141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772983 (or 772976 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

Adding to 844063137141 its reverse (141731360448), we get a palindrome (985794497589).

The spelling of 844063137141 in words is "eight hundred forty-four billion, sixty-three million, one hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 3 7 17 19 21 23 49 51 57 69 119 133 147 161 323 357 391 399 437 483 833 931 969 1127 1173 1311 2261 2499 2737 2793 3059 3381 6783 7429 8211 9177 15827 19159 21413 22287 47481 52003 57477 64239 156009 364021 772907 1092063 2318721 5410349 13139419 14685233 16231047 17776861 37872443 39418257 44055699 53330583 91975933 102796631 113617329 124438027 249648961 275927799 302206637 308389893 337760359 373314081 643831531 719576417 748946883 871066189 906619911 1013281077 1747542727 1931494593 2115446459 2158729251 2364322513 2613198567 5242628181 5741926103 6346339377 7092967539 12232799089 14808125213 16550257591 17225778309 36698397267 40193482721 44424375639 49650772773 120580448163 281354379047 844063137141