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4021442242220 = 22513791345714549
BaseRepresentation
bin111010100001010000101…
…000101110011010101100
3112020110001020001110120102
4322201100220232122230
51011341403203222340
612315231451410232
7563353042026614
oct72412050563254
915213036043512
104021442242220
111310536341607
1254b470a53978
132322b3222120
14dc8d2db1a44
156e918662215
hex3a850a2e6ac

4021442242220 has 96 divisors (see below), whose sum is σ = 9211085856000. Its totient is φ = 1465835065344.

The previous prime is 4021442242193. The next prime is 4021442242231. The reversal of 4021442242220 is 222422441204.

It is a super-2 number, since 2×40214422422202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276399506 + ... + 276414054.

It is an arithmetic number, because the mean of its divisors is an integer number (95948811000).

Almost surely, 24021442242220 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 4021442242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605542928000).

4021442242220 is an abundant number, since it is smaller than the sum of its proper divisors (5189643613780).

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

4021442242220 is a wasteful number, since it uses less digits than its factorization.

4021442242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28107 (or 28105 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 4021442242220 its reverse (222422441204), we get a palindrome (4243864683424).

The spelling of 4021442242220 in words is "four trillion, twenty-one billion, four hundred forty-two million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 260 316 395 790 1027 1580 2054 4108 5135 10270 13457 14549 20540 26914 29098 53828 58196 67285 72745 134570 145490 174941 189137 269140 290980 349882 378274 699764 756548 874705 945685 1063103 1149371 1749410 1891370 2126206 2298742 3498820 3782740 4252412 4597484 5315515 5746855 10631030 11493710 13820339 14941823 21262060 22987420 27640678 29883646 55281356 59767292 69101695 74709115 138203390 149418230 195785893 276406780 298836460 391571786 783143572 978929465 1957858930 2545216609 3915717860 5090433218 10180866436 12726083045 15467085547 25452166090 30934171094 50904332180 61868342188 77335427735 154670855470 201072112111 309341710940 402144224222 804288448444 1005360560555 2010721121110 4021442242220