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244200002442 = 231117375882353
BaseRepresentation
bin1110001101101101110…
…1000101001110001010
3212100022201101110012220
43203123131011032022
513000110200034232
6304103421314510
723433334525614
oct3433335051612
9770281343186
10244200002442
1194623598240
123b3b2105a36
131a04957b586
14bb683c5db4
156543a3b42c
hex38db74538a

244200002442 has 64 divisors (see below), whose sum is σ = 579388339584. Its totient is φ = 67764695040.

The previous prime is 244200002441. The next prime is 244200002443.

244200002442 is nontrivially palindromic in base 10.

244200002442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244200002441) and next prime (244200002443).

It is not an unprimeable number, because it can be changed into a prime (244200002441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2899663 + ... + 2982690.

It is an arithmetic number, because the mean of its divisors is an integer number (9052942806).

Almost surely, 2244200002442 is an apocalyptic number.

244200002442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

244200002442 is an abundant number, since it is smaller than the sum of its proper divisors (335188337142).

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

244200002442 is a wasteful number, since it uses less digits than its factorization.

244200002442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882423.

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 24420000 and 2442, that multiplied together give a square (59633640000 = 2442002).

The spelling of 244200002442 in words is "two hundred forty-four billion, two hundred million, two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 37 51 66 74 102 111 187 222 374 407 561 629 814 1122 1221 1258 1887 2442 3774 6919 13838 20757 41514 5882353 11764706 17647059 35294118 64705883 100000001 129411766 194117649 200000002 217647061 300000003 388235298 435294122 600000006 652941183 1100000011 1305882366 2200000022 2394117671 3300000033 3700000037 4788235342 6600000066 7182353013 7400000074 11100000111 14364706026 22200000222 40700000407 81400000814 122100001221 244200002442