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540541140948 = 2232107140327399
BaseRepresentation
bin1111101110110101100…
…00110011111111010100
31220200020020112001120100
413313122300303333110
532324012013002243
61052153212334100
754024053613504
oct7673260637724
91820206461510
10540541140948
11199273422766
1288916174330
133bc8535b383
141c23b615a04
15e0d9dad0d3
hex7ddac33fd4

540541140948 has 36 divisors (see below), whose sum is σ = 1379137687200. Its totient is φ = 178496450256.

The previous prime is 540541140929. The next prime is 540541140949. The reversal of 540541140948 is 849041145045.

540541140948 is a `hidden beast` number, since 5 + 4 + 0 + 541 + 14 + 0 + 94 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540541140949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70159848 + ... + 70167551.

It is an arithmetic number, because the mean of its divisors is an integer number (38309380200).

Almost surely, 2540541140948 is an apocalyptic number.

It is an amenable number.

540541140948 is an abundant number, since it is smaller than the sum of its proper divisors (838596546252).

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

540541140948 is a wasteful number, since it uses less digits than its factorization.

540541140948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140327516 (or 140327511 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 540541140948 in words is "five hundred forty billion, five hundred forty-one million, one hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 140327399 280654798 420982197 561309596 841964394 1262946591 1683928788 2525893182 5051786364 15015031693 30030063386 45045095079 60060126772 90090190158 135135285237 180180380316 270270570474 540541140948