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2444222442440 = 2353119710005823
BaseRepresentation
bin100011100100010111000…
…000101010101111001000
322122122222001202001120102
4203210113000222233020
5310021231421124230
65110505453344532
7341406052651502
oct43442700525710
98578861661512
102444222442440
11862652936779
12335859198148
1314964898a9cc
148642dd18d72
15438a6e22045
hex2391702abc8

2444222442440 has 64 divisors (see below), whose sum is σ = 5705721077760. Its totient is φ = 941347733760.

The previous prime is 2444222442439. The next prime is 2444222442451. The reversal of 2444222442440 is 442442224442.

It is a super-2 number, since 2×24442224424402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2444222442394 and 2444222442403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4758632 + ... + 5247191.

It is an arithmetic number, because the mean of its divisors is an integer number (89151891840).

Almost surely, 22444222442440 is an apocalyptic number.

2444222442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444222442440 is an abundant number, since it is smaller than the sum of its proper divisors (3261498635320).

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

2444222442440 is a wasteful number, since it uses less digits than its factorization.

2444222442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10006062 (or 10006058 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 38.

Adding to 2444222442440 its reverse (442442224442), we get a palindrome (2886664666882).

It can be divided in two parts, 244422 and 2442440, that added together give a palindrome (2686862).

The spelling of 2444222442440 in words is "two trillion, four hundred forty-four billion, two hundred twenty-two million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 197 248 310 394 620 788 985 1240 1576 1970 3940 6107 7880 12214 24428 30535 48856 61070 122140 244280 10005823 20011646 40023292 50029115 80046584 100058230 200116460 310180513 400232920 620361026 1240722052 1550902565 1971147131 2481444104 3101805130 3942294262 6203610260 7884588524 9855735655 12407220520 15769177048 19711471310 39422942620 61105561061 78845885240 122211122122 244422244244 305527805305 488844488488 611055610610 1222111221220 2444222442440