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540256654144 = 268441510221
BaseRepresentation
bin1111101110010011100…
…11100101001101000000
31220122111102012122001001
413313021303211031000
532322421200413034
61052105051021344
754014030535064
oct7671163451500
91818442178031
10540256654144
111991378845a9
1288856a3a854
133bc3b43269c
141c21191daa4
15e0bee15a14
hex7dc9ce5340

540256654144 has 14 divisors (see below), whose sum is σ = 1072071798194. Its totient is φ = 270128327040.

The previous prime is 540256654139. The next prime is 540256654169. The reversal of 540256654144 is 441456652045.

It can be written as a sum of positive squares in only one way, i.e., 530112135744 + 10144518400 = 728088^2 + 100720^2 .

It is a junction number, because it is equal to n+sod(n) for n = 540256654094 and 540256654103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4220755047 + ... + 4220755174.

Almost surely, 2540256654144 is an apocalyptic number.

It is an amenable number.

540256654144 is a deficient number, since it is larger than the sum of its proper divisors (531815144050).

540256654144 is an equidigital number, since it uses as much as digits as its factorization.

540256654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8441510233 (or 8441510223 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 540256654144 in words is "five hundred forty billion, two hundred fifty-six million, six hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 8441510221 16883020442 33766040884 67532081768 135064163536 270128327072 540256654144