Search a number
-
+
55144560540000 = 25354919076009
BaseRepresentation
bin11001000100111010101111…
…11100010011100101100000
321020020202202020102201002010
430202131113330103211200
524211442024444240000
6313141021131552520
714421030421456461
oct1442352774234540
9236222666381063
1055144560540000
1116630749899a08
1262274758bb740
1324a015715b6b9
14d89022166d68
1565968364dd50
hex322757f13960

55144560540000 has 120 divisors (see below), whose sum is σ = 180885187680120. Its totient is φ = 14705216128000.

The previous prime is 55144560539993. The next prime is 55144560540023. The reversal of 55144560540000 is 4506544155.

55144560540000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 459478005 + ... + 459598004.

It is an arithmetic number, because the mean of its divisors is an integer number (1507376564001).

Almost surely, 255144560540000 is an apocalyptic number.

55144560540000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55144560540000 is an abundant number, since it is smaller than the sum of its proper divisors (125740627140120).

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

55144560540000 is an equidigital number, since it uses as much as digits as its factorization.

55144560540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919076042 (or 919076019 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 55144560540000 in words is "fifty-five trillion, one hundred forty-four billion, five hundred sixty million, five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 919076009 1838152018 2757228027 3676304036 4595380045 5514456054 7352608072 9190760090 11028912108 13786140135 14705216144 18381520180 22057824216 22976900225 27572280270 29410432288 36763040360 44115648432 45953800450 55144560540 68930700675 73526080720 88231296864 91907600900 110289121080 114884501125 137861401350 147052161440 183815201800 220578242160 229769002250 275722802700 344653503375 367630403600 441156484320 459538004500 551445605400 574422505625 689307006750 735260807200 919076009000 1102891210800 1148845011250 1378614013500 1723267516875 1838152018000 2205782421600 2297690022500 2757228027000 3446535033750 3676304036000 4595380045000 5514456054000 6893070067500 9190760090000 11028912108000 13786140135000 18381520180000 27572280270000 55144560540000