Search a number
-
+
4424033113332 = 223732933668389
BaseRepresentation
bin100000001100000110011…
…1011000001010011110100
3120122221012110210201120120
41000120030323001103310
51034440404434111312
613224212303131540
7634424444001000
oct100301473012364
916587173721516
104424033113332
1114562493a37a8
125b54a78a3bb0
132612525581a1
141141a52bb700
157a12c73628c
hex4060cec14f4

4424033113332 has 96 divisors (see below), whose sum is σ = 12079274592000. Its totient is φ = 1259695092096.

The previous prime is 4424033113327. The next prime is 4424033113343. The reversal of 4424033113332 is 2333113304244.

It is a happy number.

It is a super-2 number, since 2×44240331133322 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4424033113293 and 4424033113302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628207 + ... + 3040182.

It is an arithmetic number, because the mean of its divisors is an integer number (125825777000).

Almost surely, 24424033113332 is an apocalyptic number.

4424033113332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4424033113332 is an abundant number, since it is smaller than the sum of its proper divisors (7655241478668).

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

4424033113332 is a wasteful number, since it uses less digits than its factorization.

4424033113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668710 (or 3668694 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 4424033113332 its reverse (2333113304244), we get a palindrome (6757146417576).

The spelling of 4424033113332 in words is "four trillion, four hundred twenty-four billion, thirty-three million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 293 294 343 586 588 686 879 1029 1172 1372 1758 2051 2058 3516 4102 4116 6153 8204 12306 14357 24612 28714 43071 57428 86142 100499 172284 200998 301497 401996 602994 1205988 3668389 7336778 11005167 14673556 22010334 25678723 44020668 51357446 77036169 102714892 154072338 179751061 308144676 359502122 539253183 719004244 1074837977 1078506366 1258257427 2149675954 2157012732 2516514854 3224513931 3774772281 4299351908 5033029708 6449027862 7523865839 7549544562 12898055724 15047731678 15099089124 22571597517 30095463356 45143195034 52667060873 90286390068 105334121746 158001182619 210668243492 316002365238 368669426111 632004730476 737338852222 1106008278333 1474677704444 2212016556666 4424033113332