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4021444421020 = 22513731090319433
BaseRepresentation
bin111010100001010000110…
…001000010010110011100
3112020110001101011011022201
4322201100301002112130
51011341404232433040
612315232010221244
7563353066403035
oct72412061022634
915213041134281
104021444421020
11131053759a574
1254b471724824
132322b3805a60
14dc8d33bba8c
156e918942a9a
hex3a850c4259c

4021444421020 has 96 divisors (see below), whose sum is σ = 9220555516032. Its totient is φ = 1464291053568.

The previous prime is 4021444421017. The next prime is 4021444421023. The reversal of 4021444421020 is 201244441204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4021444421017) and next prime (4021444421023).

It is a self number, because there is not a number n which added to its sum of digits gives 4021444421020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444421023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206929224 + ... + 206948656.

It is an arithmetic number, because the mean of its divisors is an integer number (96047453292).

Almost surely, 24021444421020 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 4021444421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610277758016).

4021444421020 is an abundant number, since it is smaller than the sum of its proper divisors (5199111095012).

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

4021444421020 is a wasteful number, since it uses less digits than its factorization.

4021444421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30431 (or 30429 counting only the distinct ones).

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

Adding to 4021444421020 its reverse (201244441204), we get a palindrome (4222688862224).

The spelling of 4021444421020 in words is "four trillion, twenty-one billion, four hundred forty-four million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1460 1898 3796 4745 9490 10903 18980 19433 21806 38866 43612 54515 77732 97165 109030 141739 194330 218060 252629 283478 388660 505258 566956 708695 795919 1010516 1263145 1417390 1418609 1591838 2526290 2834780 2837218 3183676 3979595 5052580 5674436 7093045 7959190 10346947 14186090 15918380 18441917 20693894 28372180 36883834 41387788 51734735 73767668 92209585 103469470 184419170 206938940 211877999 368838340 423755998 847511996 1059389995 2118779990 2754413987 4237559980 5508827974 11017655948 13772069935 15467093927 27544139870 30934187854 55088279740 61868375708 77335469635 154670939270 201072221051 309341878540 402144442102 804288884204 1005361105255 2010722210510 4021444421020