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54102421543040 = 275136502694897
BaseRepresentation
bin11000100110100101100111…
…00111100001100010000000
321002120010210210001102212222
430103102303213201202000
524042403224403334130
6311022150452310212
714252525304243053
oct1423226347414200
9232503723042788
1054102421543040
11162697875719a2
1260994b3612368
132425ab491a640
14d507dd434a9a
1563c4dc733ce5
hex3134b39e1880

54102421543040 has 64 divisors (see below), whose sum is σ = 139287724715160. Its totient is φ = 19976278720512.

The previous prime is 54102421543033. The next prime is 54102421543073. The reversal of 54102421543040 is 4034512420145.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34054880950336 + 20047540592704 = 5835656^2 + 4477448^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3251339129 + ... + 3251355768.

Almost surely, 254102421543040 is an apocalyptic number.

It is an amenable number.

54102421543040 is an abundant number, since it is smaller than the sum of its proper divisors (85185303172120).

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

54102421543040 is a wasteful number, since it uses less digits than its factorization.

54102421543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502694929 (or 6502694917 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 54102421543040 its reverse (4034512420145), we get a palindrome (58136933963185).

The spelling of 54102421543040 in words is "fifty-four trillion, one hundred two billion, four hundred twenty-one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 6502694897 13005389794 26010779588 32513474485 52021559176 65026948970 84535033661 104043118352 130053897940 169070067322 208086236704 260107795880 338140134644 416172473408 422675168305 520215591760 676280269288 832344946816 845350336610 1040431183520 1352560538576 1690700673220 2080862367040 2705121077152 3381401346440 4161724734080 5410242154304 6762802692880 10820484308608 13525605385760 27051210771520 54102421543040