Search a number
-
+
4434303310010 = 25729179118110333
BaseRepresentation
bin100000010000111000100…
…0100101101100010111010
3120200220201012222202212022
41000201301010231202322
51040122423121410020
613233031341114442
7635240112143240
oct100416104554272
916626635882768
104434303310010
11145a639686552
125b7493258a22
132621cb209b42
1411489b296790
157a52e1b7625
hex4087112d8ba

4434303310010 has 128 divisors (see below), whose sum is σ = 9498219148800. Its totient is φ = 1458329564160.

The previous prime is 4434303309973. The next prime is 4434303310057. The reversal of 4434303310010 is 100133034344.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 429134804 + ... + 429145136.

It is an arithmetic number, because the mean of its divisors is an integer number (74204837100).

Almost surely, 24434303310010 is an apocalyptic number.

4434303310010 is an abundant number, since it is smaller than the sum of its proper divisors (5063915838790).

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

4434303310010 is a wasteful number, since it uses less digits than its factorization.

4434303310010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4434303310010 its reverse (100133034344), we get a palindrome (4534436344354).

The spelling of 4434303310010 in words is "four trillion, four hundred thirty-four billion, three hundred three million, three hundred ten thousand, ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 179 203 290 358 406 895 1015 1181 1253 1790 2030 2362 2506 5191 5905 6265 8267 10333 10382 11810 12530 16534 20666 25955 34249 36337 41335 51665 51910 68498 72331 72674 82670 103330 144662 171245 181685 211399 239743 299657 342490 361655 363370 422798 479486 599314 723310 1056995 1198715 1479793 1498285 1849607 2097599 2113990 2397430 2959586 2996570 3699214 4195198 6130571 7398965 9248035 10487995 12203273 12261142 12947249 14797930 18496070 20975990 24406546 25894498 30652855 42913997 53638603 61016365 61305710 64736245 85422911 85827994 107277206 122032730 129472490 170845822 214569985 268193015 353894917 375470221 427114555 429139970 536386030 707789834 750940442 854229110 1769474585 1877351105 2184385867 2477264419 3538949170 3754702210 4368771734 4954528838 10921929335 12386322095 15290701069 21843858670 24772644190 30581402138 63347190143 76453505345 126694380286 152907010690 316735950715 443430331001 633471901430 886860662002 2217151655005 4434303310010