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54423004422240 = 25325112333654277
BaseRepresentation
bin11000101111111010101111…
…10110001010000001100000
321010200210021202022001211100
430113331113312022001200
524113131303113002430
6311425325540114400
714314634532613536
oct1427752766120140
9233623252261740
1054423004422240
1116382737211a63
12612b662095a00
13244a0b4b069bc
14d6213202a156
15645a01de8960
hex317f57d8a060

54423004422240 has 144 divisors (see below), whose sum is σ = 185883885231408. Its totient is φ = 14499877506048.

The previous prime is 54423004422239. The next prime is 54423004422251. The reversal of 54423004422240 is 4222440032445.

It is a happy number.

54423004422240 is a `hidden beast` number, since 5 + 4 + 423 + 0 + 0 + 4 + 4 + 2 + 224 + 0 = 666.

54423004422240 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54423004422195 and 54423004422204.

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 23 ways as a sum of consecutive naturals, for example, 15210019 + ... + 18444258.

It is an arithmetic number, because the mean of its divisors is an integer number (1290860314107).

Almost surely, 254423004422240 is an apocalyptic number.

It is an amenable number.

54423004422240 is an abundant number, since it is smaller than the sum of its proper divisors (131460880809168).

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

54423004422240 is a wasteful number, since it uses less digits than its factorization.

54423004422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33655421 (or 33655410 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 54423004422240 its reverse (4222440032445), we get a palindrome (58645444454685).

The spelling of 54423004422240 in words is "fifty-four trillion, four hundred twenty-three billion, four million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1123 1440 2246 3369 4492 5615 6738 8984 10107 11230 13476 16845 17968 20214 22460 26952 33690 35936 40428 44920 50535 53904 67380 80856 89840 101070 107808 134760 161712 179680 202140 269520 323424 404280 539040 808560 1617120 33654277 67308554 100962831 134617108 168271385 201925662 269234216 302888493 336542770 403851324 504814155 538468432 605776986 673085540 807702648 1009628310 1076936864 1211553972 1346171080 1514442465 1615405296 2019256620 2423107944 2692342160 3028884930 3230810592 4038513240 4846215888 5384684320 6057769860 8077026480 9692431776 12115539720 16154052960 24231079440 37793753071 48462158880 75587506142 113381259213 151175012284 188968765355 226762518426 302350024568 340143777639 377937530710 453525036852 566906296065 604700049136 680287555278 755875061420 907050073704 1133812592130 1209400098272 1360575110556 1511750122840 1700718888195 1814100147408 2267625184260 2721150221112 3023500245680 3401437776390 3628200294816 4535250368520 5442300442224 6047000491360 6802875552780 9070500737040 10884600884448 13605751105560 18141001474080 27211502211120 54423004422240