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54141953888112 = 2433136385721699
BaseRepresentation
bin11000100111101111001111…
…11011011100111101110000
321002200220211212010122102120
430103313213323130331300
524044030210143404422
6311052245323514240
714255425042523316
oct1423674773347560
9232626755118376
1054141953888112
1116284523545962
1260a50a6988980
132429744b312bc
14d526ad86a0b6
1563d55314145c
hex313de7edcf70

54141953888112 has 40 divisors (see below), whose sum is σ = 144378543705600. Its totient is φ = 17465146415040.

The previous prime is 54141953888093. The next prime is 54141953888131. The reversal of 54141953888112 is 21188835914145.

It is an interprime number because it is at equal distance from previous prime (54141953888093) and next prime (54141953888131).

It is a super-2 number, since 2×541419538881122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18192859362 + ... + 18192862337.

It is an arithmetic number, because the mean of its divisors is an integer number (3609463592640).

Almost surely, 254141953888112 is an apocalyptic number.

It is an amenable number.

54141953888112 is an abundant number, since it is smaller than the sum of its proper divisors (90236589817488).

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

54141953888112 is a wasteful number, since it uses less digits than its factorization.

54141953888112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36385721741 (or 36385721735 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 60.

The spelling of 54141953888112 in words is "fifty-four trillion, one hundred forty-one billion, nine hundred fifty-three million, eight hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 36385721699 72771443398 109157165097 145542886796 218314330194 291085773592 436628660388 582171547184 873257320776 1127957372669 1746514641552 2255914745338 3383872118007 4511829490676 6767744236014 9023658981352 13535488472028 18047317962704 27070976944056 54141953888112