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54443155134445 = 5711101181242737
BaseRepresentation
bin11000110000100000010001…
…11011000001011111101101
321010202201022002102022100121
430120100020323001133231
524113444040203300240
6311442501251524541
714316250065054610
oct1430201073013755
9233681262368317
1054443155134445
111639023781a320
1261335465b9751
13244bc7679c74c
14d630c4344177
156462d0ed504a
hex318408ec17ed

54443155134445 has 96 divisors (see below), whose sum is σ = 82717994458368. Its totient is φ = 33416133120000.

The previous prime is 54443155134443. The next prime is 54443155134493.

54443155134445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54443155134445 - 21 = 54443155134443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54443155134392 and 54443155134401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54443155134443) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1273890117 + ... + 1273932853.

It is an arithmetic number, because the mean of its divisors is an integer number (861645775608).

Almost surely, 254443155134445 is an apocalyptic number.

54443155134445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54443155134445 is a deficient number, since it is larger than the sum of its proper divisors (28274839323923).

54443155134445 is a wasteful number, since it uses less digits than its factorization.

54443155134445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43223 (or 43042 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 52.

The spelling of 54443155134445 in words is "fifty-four trillion, four hundred forty-three billion, one hundred fifty-five million, one hundred thirty-four thousand, four hundred forty-five".

Divisors: 1 5 7 11 35 55 77 101 181 385 505 707 905 1111 1267 1991 3535 5555 6335 7777 9955 13937 18281 32761 38885 42737 69685 91405 127967 163805 201091 213685 229327 299159 360371 470107 639835 1005455 1146635 1407637 1495795 1801855 2350535 2522597 3290749 3308861 4316437 7038185 7735397 12612985 16453745 16544305 21582185 23162027 30215059 36397471 38676985 47480807 54147779 85089367 115810135 151075295 181987355 237404035 254782297 270738895 332365649 425446835 595625569 781275097 1273911485 1400106857 1661828245 2978127845 3906375485 5468925679 7000534285 8594026067 9800747999 15401175427 27344628395 42970130335 49003739995 60158182469 77005877135 107808227989 141410792557 300790912345 539041139945 707053962785 989875547899 1555518718127 4949377739495 7777593590635 10888631026889 54443155134445