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554141141455 = 511253101397431
BaseRepresentation
bin10000001000001010110…
…00101100100111001111
31221222100001022122222211
420010011120230213033
533034340113011310
61102322515451251
755015063661656
oct10040530544717
91858301278884
10554141141455
111a4012256400
128b4908b6b27
1340341b28c55
141cb6b92819d
15e633d2cc8a
hex810562c9cf

554141141455 has 96 divisors (see below), whose sum is σ = 755724743424. Its totient is φ = 389600640000.

The previous prime is 554141141441. The next prime is 554141141471.

554141141455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 554141141455 - 213 = 554141133263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1285710090 + ... + 1285710520.

It is an arithmetic number, because the mean of its divisors is an integer number (7872132744).

Almost surely, 2554141141455 is an apocalyptic number.

554141141455 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

554141141455 is a deficient number, since it is larger than the sum of its proper divisors (201583601969).

554141141455 is a wasteful number, since it uses less digits than its factorization.

554141141455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its digits is 160000, while the sum is 40.

It can be divided in two parts, 554141 and 141455, that added together give a palindrome (695596).

The spelling of 554141141455 in words is "five hundred fifty-four billion, one hundred forty-one million, one hundred forty-one thousand, four hundred fifty-five".

Divisors: 1 5 11 53 55 101 121 265 397 431 505 583 605 1111 1985 2155 2915 4367 4741 5353 5555 6413 12221 21041 21835 22843 23705 26765 32065 40097 43531 48037 52151 58883 61105 105205 114215 171107 200485 217655 231451 240185 251273 260755 294415 441067 478841 647713 855535 1157255 1256365 1882177 2125141 2205335 2307143 2394205 2545961 2764003 3238565 4851737 5267251 9068671 9410885 10625705 11535715 12729805 13820015 17281807 20703947 23376551 24258685 25378573 26336255 45343355 86409035 99755381 103519735 116882755 126892865 190099877 257142061 279164303 498776905 915935771 950499385 1097309191 1285710305 1395821515 2091098647 4579678855 5486545955 10075293481 10455493235 50376467405 110828228291 554141141455