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2042242824840 = 233551893279763
BaseRepresentation
bin11101101101111111001…
…010000111101010001000
321020020101102011200202020
4131231333022013222020
5231430003130343330
64202105435204440
7300355452406551
oct35557712075210
97206342150666
102042242824840
11718123919379
1228b972ba6720
1311a77619080a
1470bb8c85328
15381cb840210
hex1db7f287a88

2042242824840 has 64 divisors (see below), whose sum is σ = 6127911057600. Its totient is φ = 544492968192.

The previous prime is 2042242824833. The next prime is 2042242824871. The reversal of 2042242824840 is 484282422402.

It is a super-2 number, since 2×20422428248402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2042242824792 and 2042242824801.

It is an unprimeable number.

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, 1017202 + ... + 2262561.

It is an arithmetic number, because the mean of its divisors is an integer number (95748610275).

Almost surely, 22042242824840 is an apocalyptic number.

2042242824840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042242824840 is an abundant number, since it is smaller than the sum of its proper divisors (4085668232760).

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

2042242824840 is a wasteful number, since it uses less digits than its factorization.

2042242824840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284966 (or 3284962 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 42.

The spelling of 2042242824840 in words is "two trillion, forty-two billion, two hundred forty-two million, eight hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5189 10378 15567 20756 25945 31134 41512 51890 62268 77835 103780 124536 155670 207560 311340 622680 3279763 6559526 9839289 13119052 16398815 19678578 26238104 32797630 39357156 49196445 65595260 78714312 98392890 131190520 196785780 393571560 17018690207 34037380414 51056070621 68074760828 85093451035 102112141242 136149521656 170186902070 204224282484 255280353105 340373804140 408448564968 510560706210 680747608280 1021121412420 2042242824840