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54514042341 = 311176710314081
BaseRepresentation
bin110010110001010010…
…100100010111100101
312012201011210021121020
4302301102210113211
51343121043323331
641013213041353
73636623500023
oct626122442745
9165634707536
1054514042341
1121134834960
12a694786259
1351aa021cb5
1428d2053713
151640d08c96
hexcb14a45e5

54514042341 has 64 divisors (see below), whose sum is σ = 86043949056. Its totient is φ = 30331699200.

The previous prime is 54514042333. The next prime is 54514042343. The reversal of 54514042341 is 14324041545.

It is a happy number.

It is not a de Polignac number, because 54514042341 - 23 = 54514042333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54514042343) 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 63 ways as a sum of consecutive naturals, for example, 3864421 + ... + 3878501.

It is an arithmetic number, because the mean of its divisors is an integer number (1344436704).

Almost surely, 254514042341 is an apocalyptic number.

54514042341 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

54514042341 is a deficient number, since it is larger than the sum of its proper divisors (31529906715).

54514042341 is a wasteful number, since it uses less digits than its factorization.

54514042341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 54514042341 its reverse (14324041545), we get a palindrome (68838083886).

The spelling of 54514042341 in words is "fifty-four billion, five hundred fourteen million, forty-two thousand, three hundred forty-one".

Divisors: 1 3 11 17 33 51 67 103 187 201 309 561 737 1133 1139 1751 2211 3399 3417 5253 6901 12529 14081 19261 20703 37587 42243 57783 75911 117317 154891 227733 239377 351951 464673 718131 943427 1290487 1450343 2633147 2830281 3871461 4351029 7899441 10377697 15953773 16038259 24655831 31133091 47861319 48114777 73967493 97172981 176420849 271214141 291518943 529262547 813642423 1068902791 1651940677 3206708373 4955822031 18171347447 54514042341