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540240053325 = 35271381745133
BaseRepresentation
bin1111101110010001101…
…00010000010001001101
31220122110020222012222220
413313020310100101031
532322402423201300
61052103255125553
754013436454150
oct7671064202115
91818406865886
10540240053325
11199129476115
12888513738b9
133bc37b6c50b
141c20d63bc97
15e0bd736da0
hex7dc8d1044d

540240053325 has 48 divisors (see below), whose sum is σ = 1021536986496. Its totient is φ = 246787718400.

The previous prime is 540240053321. The next prime is 540240053369. The reversal of 540240053325 is 523350042045.

It is a happy number.

It is not a de Polignac number, because 540240053325 - 22 = 540240053321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540240053321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352459 + ... + 1097591.

It is an arithmetic number, because the mean of its divisors is an integer number (21282020552).

Almost surely, 2540240053325 is an apocalyptic number.

It is an amenable number.

540240053325 is a deficient number, since it is larger than the sum of its proper divisors (481296933171).

540240053325 is a wasteful number, since it uses less digits than its factorization.

540240053325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746534 (or 746529 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The spelling of 540240053325 in words is "five hundred forty billion, two hundred forty million, fifty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 1381 4143 6905 9667 20715 29001 34525 48335 103575 145005 241675 725025 745133 2235399 3725665 5215931 11176995 15647793 18628325 26079655 55884975 78238965 130398275 391194825 1029028673 3087086019 5145143365 7203200711 15435430095 21609602133 25725716825 36016003555 77177150475 108048010665 180080017775 540240053325