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20442244310020 = 225133710919495169
BaseRepresentation
bin1001010010111100101001…
…01101011110010000000100
32200101021000011011011201101
410221132110231132100010
510134411204020410040
6111251012024305444
74206621604441411
oct451362455362004
980337004134641
1020442244310020
116571563a91845
122361a16312284
13b5390694b510
145095a4ac1108
15256b3a2d709a
hex129794b5e404

20442244310020 has 96 divisors (see below), whose sum is σ = 47916008632800. Its totient is φ = 7276532465664.

The previous prime is 20442244310011. The next prime is 20442244310071. The reversal of 20442244310020 is 2001344224402.

It can be written as a sum of positive squares in 16 ways, for example, as 2827301005764 + 17614943304256 = 1681458^2 + 4197016^2 .

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, 8699005 + ... + 10796164.

It is an arithmetic number, because the mean of its divisors is an integer number (499125089925).

Almost surely, 220442244310020 is an apocalyptic number.

20442244310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442244310020 is an abundant number, since it is smaller than the sum of its proper divisors (27473764322780).

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

20442244310020 is a wasteful number, since it uses less digits than its factorization.

20442244310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19495337 (or 19495335 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20442244310020 its reverse (2001344224402), we get a palindrome (22443588534422).

The spelling of 20442244310020 in words is "twenty trillion, four hundred forty-two billion, two hundred forty-four million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 109 130 148 185 218 260 370 436 481 545 740 962 1090 1417 1924 2180 2405 2834 4033 4810 5668 7085 8066 9620 14170 16132 20165 28340 40330 52429 80660 104858 209716 262145 524290 1048580 19495169 38990338 77980676 97475845 194951690 253437197 389903380 506874394 721321253 1013748788 1267185985 1442642506 2124973421 2534371970 2885285012 3606606265 4249946842 5068743940 7213212530 8499893684 9377176289 10624867105 14426425060 18754352578 21249734210 27624654473 37508705156 42499468420 46885881445 55249308946 78624016577 93771762890 110498617892 138123272365 157248033154 187543525780 276246544730 314496066308 393120082885 552493089460 786240165770 1022112215501 1572480331540 2044224431002 4088448862004 5110561077505 10221122155010 20442244310020