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54121088012145 = 35711149754941659
BaseRepresentation
bin11000100111001000011000…
…01110011100111101110001
321002121220222200022022122120
430103210030032130331301
524043204442012342040
6311034515023424453
714254056004513560
oct1423441416347561
9232556880268576
1054121088012145
1116276696281470
1260a1042a55129
13242779ac4a12b
14d5169058bbd7
1563cc313897d0
hex31390c39cf71

54121088012145 has 128 divisors (see below), whose sum is σ = 108702604800000. Its totient is φ = 22337432847360.

The previous prime is 54121088012141. The next prime is 54121088012171.

54121088012145 is nontrivially palindromic in base 10.

54121088012145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54121088012145 - 22 = 54121088012141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54121088012097 and 54121088012106.

It is not an unprimeable number, because it can be changed into a prime (54121088012141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1299124326 + ... + 1299165984.

It is an arithmetic number, because the mean of its divisors is an integer number (849239100000).

Almost surely, 254121088012145 is an apocalyptic number.

54121088012145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54121088012145 is an abundant number, since it is smaller than the sum of its proper divisors (54581516787855).

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

54121088012145 is a wasteful number, since it uses less digits than its factorization.

54121088012145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49383.

The product of its (nonzero) digits is 102400, while the sum is 42.

The spelling of 54121088012145 in words is "fifty-four trillion, one hundred twenty-one billion, eighty-eight million, twelve thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 149 165 231 385 447 745 1043 1155 1639 2235 3129 4917 5215 7549 8195 11473 15645 22647 24585 34419 37745 41659 52843 57365 83039 113235 124977 158529 172095 208295 249117 264215 291613 415195 458249 581273 624885 792645 874839 1124801 1245585 1374747 1458065 1743819 2291245 2906365 3207743 3374403 4374195 5624005 6207191 6873735 7873607 8719095 9623229 12372811 16038715 16872015 18621573 23620821 31035955 37118433 39368035 43450337 48116145 61864055 68279101 86609677 93107865 118104105 130351011 185592165 204837303 217251685 259829031 314483791 341395505 433048385 477953707 651755055 943451373 1024186515 1299145155 1433861121 1572418955 2201386537 2389768535 3459321701 4717256865 6604159611 7169305605 10377965103 11006932685 17296608505 24215251907 33020798055 46858084859 51889825515 72645755721 121076259535 140574254577 234290424295 328006594013 363228778605 515438933449 702871272885 984019782039 1546316800347 1640032970065 2577194667245 3608072534143 4920098910195 7731584001735 10824217602429 18040362670715 54121088012145