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422540424120 = 233522715511763
BaseRepresentation
bin1100010011000010101…
…11110011001110111000
31111101122120100112222210
412021201113303032320
523410330322032440
6522040135415120
742345642226143
oct6114127631670
91441576315883
10422540424120
11153220065691
1269a83b244a0
1330acb429cc9
1416645a1d05a
15aed06c7a80
hex62615f33b8

422540424120 has 64 divisors (see below), whose sum is σ = 1273205589120. Its totient is φ = 112181062784.

The previous prime is 422540424073. The next prime is 422540424121. The reversal of 422540424120 is 21424045224.

422540424120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422540424121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7728642 + ... + 7783121.

It is an arithmetic number, because the mean of its divisors is an integer number (19893837330).

Almost surely, 2422540424120 is an apocalyptic number.

422540424120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422540424120 is an abundant number, since it is smaller than the sum of its proper divisors (850665165000).

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

422540424120 is a wasteful number, since it uses less digits than its factorization.

422540424120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512004 (or 15512000 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 422540424120 its reverse (21424045224), we get a palindrome (443964469344).

The spelling of 422540424120 in words is "four hundred twenty-two billion, five hundred forty million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4540 5448 6810 9080 13620 27240 15511763 31023526 46535289 62047052 77558815 93070578 124094104 155117630 186141156 232676445 310235260 372282312 465352890 620470520 930705780 1861411560 3521170201 7042340402 10563510603 14084680804 17605851005 21127021206 28169361608 35211702010 42254042412 52817553015 70423404020 84508084824 105635106030 140846808040 211270212060 422540424120