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4142044012420 = 2254319346753437
BaseRepresentation
bin111100010001100101000…
…011111101111110000100
3112122222100011120011121001
4330101211003331332010
51020330401231344140
612450455002103044
7605152466123236
oct74214503757604
915588304504531
104142044012420
1113576a3953576
1256a90a1aaa84
13240792ca4a22
14104694202256
1572b26384e9a
hex3c4650fdf84

4142044012420 has 96 divisors (see below), whose sum is σ = 8966020871808. Its totient is φ = 1606424666112.

The previous prime is 4142044012391. The next prime is 4142044012453. The reversal of 4142044012420 is 242104402414.

It is a happy number.

It is a super-2 number, since 2×41420440124202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77485942 + ... + 77539378.

It is an arithmetic number, because the mean of its divisors is an integer number (93396050748).

Almost surely, 24142044012420 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 4142044012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483010435904).

4142044012420 is an abundant number, since it is smaller than the sum of its proper divisors (4823976859388).

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

4142044012420 is a wasteful number, since it uses less digits than its factorization.

4142044012420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54149 (or 54147 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4142044012420 its reverse (242104402414), we get a palindrome (4384148414834).

The spelling of 4142044012420 in words is "four trillion, one hundred forty-two billion, forty-four million, twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 193 215 386 430 467 772 860 934 965 1868 1930 2335 3860 4670 8299 9340 16598 20081 33196 40162 41495 53437 80324 82990 90131 100405 106874 165980 180262 200810 213748 267185 360524 401620 450655 534370 901310 1068740 1802620 2297791 3875633 4595582 7751266 9191164 10313341 11488955 15502532 19378165 20626682 22977910 24955079 38756330 41253364 45955820 49910158 51566705 77512660 99820316 103133410 124775395 206266820 249550790 443473663 499101580 886947326 1073068397 1773894652 2146136794 2217368315 4292273588 4434736630 4816330247 5365341985 8869473260 9632660494 10730683970 19265320988 21461367940 24081651235 48163302470 96326604940 207102200621 414204401242 828408802484 1035511003105 2071022006210 4142044012420