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540022534243120 = 2458988878534473
BaseRepresentation
bin111101011001001011100101…
…1010100110000001100110000
32121211001122112220122211000001
41322302113023110300030300
51031240212122231234440
65152310532153035344
7221514224551104265
oct17262271324601460
92554048486584001
10540022534243120
111470822a8249265
1250697b9a0b5b54
131a242ba2694906
14974d33162326c
15426735aac7b9a
hex1eb25cb530330

540022534243120 has 80 divisors (see below), whose sum is σ = 1269802738226880. Its totient is φ = 213557888028672.

The previous prime is 540022534243117. The next prime is 540022534243121. The reversal of 540022534243120 is 21342435220045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 540022534243120.

It is not an unprimeable number, because it can be changed into a prime (540022534243121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59008204 + ... + 67542676.

It is an arithmetic number, because the mean of its divisors is an integer number (15872534227836).

Almost surely, 2540022534243120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540022534243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634901369113440).

540022534243120 is an abundant number, since it is smaller than the sum of its proper divisors (729780203983760).

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

540022534243120 is a wasteful number, since it uses less digits than its factorization.

540022534243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8543462 (or 8543456 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 37.

Adding to 540022534243120 its reverse (21342435220045), we get a palindrome (561364969463165).

The spelling of 540022534243120 in words is "five hundred forty trillion, twenty-two billion, five hundred thirty-four million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 8887 17774 35548 44435 71096 88870 142192 177740 355480 710960 790943 1581886 3163772 3954715 6327544 7909430 8534473 12655088 15818860 17068946 31637720 34137892 42672365 63275440 68275784 85344730 136551568 170689460 341378920 682757840 759568097 1519136194 3038272388 3797840485 6076544776 7595680970 12153089552 15191361940 30382723880 60765447760 75845861551 151691723102 303383446204 379229307755 606766892408 758458615510 1213533784816 1516917231020 3033834462040 6067668924080 6750281678039 13500563356078 27001126712156 33751408390195 54002253424312 67502816780390 108004506848624 135005633560780 270011267121560 540022534243120