Search a number
-
+
2442322242440 = 2352913116072139
BaseRepresentation
bin100011100010100101101…
…111111110101110001000
322122111001122011220012122
4203202211233332232020
5310003333443224230
65105553133430412
7341311010350013
oct43424557765610
98574048156178
102442322242440
11861868264353
1233540893b408
131494050b7102
14862cd7dc37a
15437e51c4be5
hex238a5bfeb88

2442322242440 has 64 divisors (see below), whose sum is σ = 5728110696000. Its totient is φ = 936041317120.

The previous prime is 2442322242427. The next prime is 2442322242449. The reversal of 2442322242440 is 442422232442.

It is a self number, because there is not a number n which added to its sum of digits gives 2442322242440.

It is not an unprimeable number, because it can be changed into a prime (2442322242449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7884110 + ... + 8188029.

It is an arithmetic number, because the mean of its divisors is an integer number (89501729625).

Almost surely, 22442322242440 is an apocalyptic number.

2442322242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442322242440 is an abundant number, since it is smaller than the sum of its proper divisors (3285788453560).

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

2442322242440 is a wasteful number, since it uses less digits than its factorization.

2442322242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16072310 (or 16072306 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 35.

Adding to 2442322242440 its reverse (442422232442), we get a palindrome (2884744474882).

The spelling of 2442322242440 in words is "two trillion, four hundred forty-two billion, three hundred twenty-two million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 131 145 232 262 290 524 580 655 1048 1160 1310 2620 3799 5240 7598 15196 18995 30392 37990 75980 151960 16072139 32144278 64288556 80360695 128577112 160721390 321442780 466092031 642885560 932184062 1864368124 2105450209 2330460155 3728736248 4210900418 4660920310 8421800836 9321840620 10527251045 16843601672 18643681240 21054502090 42109004180 61058056061 84218008360 122116112122 244232224244 305290280305 488464448488 610580560610 1221161121220 2442322242440