Search a number
-
+
2242330044003 = 34719415076671
BaseRepresentation
bin100000101000010101010…
…010010010011001100011
321221100211211120120110000
4200220111102102121203
5243214242442402003
64434040122511043
7321001012615050
oct40502522223143
97840754516400
102242330044003
11794a6a941625
123026b3965483
131335b2599c5a
147a75a78c027
153d4dc7921a3
hex20a15492663

2242330044003 has 80 divisors (see below), whose sum is σ = 4127943536640. Its totient is φ = 1184285577600.

The previous prime is 2242330043977. The next prime is 2242330044107. The reversal of 2242330044003 is 3004400332422.

2242330044003 is a `hidden beast` number, since 2 + 24 + 233 + 0 + 0 + 4 + 400 + 3 = 666.

It is not a de Polignac number, because 2242330044003 - 28 = 2242330043747 is a prime.

It is a super-3 number, since 3×22423300440033 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2242330044203) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2096643 + ... + 2980028.

It is an arithmetic number, because the mean of its divisors is an integer number (51599294208).

Almost surely, 22242330044003 is an apocalyptic number.

2242330044003 is a deficient number, since it is larger than the sum of its proper divisors (1885613492637).

2242330044003 is a wasteful number, since it uses less digits than its factorization.

2242330044003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076750 (or 5076741 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 2242330044003 its reverse (3004400332422), we get a palindrome (5246730376425).

The spelling of 2242330044003 in words is "two trillion, two hundred forty-two billion, three hundred thirty million, forty-four thousand, three".

Divisors: 1 3 7 9 19 21 27 41 57 63 81 123 133 171 189 287 369 399 513 567 779 861 1107 1197 1539 2337 2583 3321 3591 5453 7011 7749 10773 16359 21033 23247 49077 63099 147231 441693 5076671 15230013 35536697 45690039 96456749 106610091 137070117 208143511 289370247 319830273 411210351 624430533 675197243 868110741 959490819 1457004577 1873291599 2025591729 2604332223 2878472457 3954726709 4371013731 5619874797 6076775187 7812996669 11864180127 13113041193 16859624391 18230325561 27683086963 35592540381 39339123579 54690976683 83049260889 106777621143 118017370737 249147782667 320332863429 747443348001 2242330044003