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114211430344 = 231117533833761
BaseRepresentation
bin110101001011110001…
…0000001111111001000
3101220210120221210201201
41222113202001333020
53332401111232334
6124245031153544
711152160066014
oct1522742017710
9356716853651
10114211430344
1144489414060
121a1752158b4
13aa01b7851b
145756653544
152e86bd3c14
hex1a97881fc8

114211430344 has 128 divisors (see below), whose sum is σ = 252748615680. Its totient is φ = 47800729600.

The previous prime is 114211430339. The next prime is 114211430353. The reversal of 114211430344 is 443034112411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30365424 + ... + 30369184.

It is an arithmetic number, because the mean of its divisors is an integer number (1974598560).

Almost surely, 2114211430344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114211430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126374307840).

114211430344 is an abundant number, since it is smaller than the sum of its proper divisors (138537185336).

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

114211430344 is a wasteful number, since it uses less digits than its factorization.

114211430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4231 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114211430344 its reverse (443034112411), we get a palindrome (557245542755).

The spelling of 114211430344 in words is "one hundred fourteen billion, two hundred eleven million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 53 68 88 106 136 187 212 374 383 424 583 748 766 901 1166 1496 1532 1802 2332 3064 3604 3761 4213 4664 6511 7208 7522 8426 9911 13022 15044 16852 19822 20299 26044 30088 33704 39644 40598 41371 52088 63937 71621 79288 81196 82742 127874 143242 162392 165484 199333 223289 255748 286484 330968 345083 398666 446578 511496 572968 690166 703307 797332 893156 1380332 1406614 1440463 1594664 1786312 2192663 2760664 2813228 2880926 3388661 3795913 4385326 5626456 5761852 6777322 7591826 8770652 11523704 13554644 15183652 15845093 17541304 24487871 27109288 30367304 31690186 37275271 48975742 63380372 74550542 76344539 97951484 126760744 149101084 152689078 195902968 269366581 298202168 305378156 538733162 610756312 839789929 1077466324 1297857163 1679579858 2154932648 2595714326 3359159716 5191428652 6718319432 10382857304 14276428793 28552857586 57105715172 114211430344