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11314403430 = 23511533891663
BaseRepresentation
bin10101000100110010…
…00001100001100110
31002012112001020122220
422202121001201212
5141132441402210
65110414533210
7550244561631
oct124231014146
932175036586
1011314403430
11488675a840
122239207206
1310b40c9395
14794952c18
15463495c70
hex2a2641866

11314403430 has 128 divisors (see below), whose sum is σ = 30277877760. Its totient is φ = 2682600960.

The previous prime is 11314403413. The next prime is 11314403437. The reversal of 11314403430 is 3430441311.

It is a self number, because there is not a number n which added to its sum of digits gives 11314403430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314403437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6802779 + ... + 6804441.

It is an arithmetic number, because the mean of its divisors is an integer number (236545920).

Almost surely, 211314403430 is an apocalyptic number.

11314403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15138938880).

11314403430 is an abundant number, since it is smaller than the sum of its proper divisors (18963474330).

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

11314403430 is a wasteful number, since it uses less digits than its factorization.

11314403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11314403430 its reverse (3430441311), we get a palindrome (14744844741).

The spelling of 11314403430 in words is "eleven billion, three hundred fourteen million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 389 530 583 778 795 1166 1167 1590 1663 1749 1945 2334 2915 3326 3498 3890 4279 4989 5830 5835 8315 8558 8745 9978 11670 12837 16630 17490 18293 20617 21395 24945 25674 36586 41234 42790 49890 54879 61851 64185 88139 91465 103085 109758 123702 128370 176278 182930 206170 226787 264417 274395 309255 440695 453574 528834 548790 618510 646907 680361 881390 969529 1133935 1293814 1322085 1360722 1939058 1940721 2267870 2644170 2908587 3234535 3401805 3881442 4847645 5817174 6469070 6803610 7115977 9695290 9703605 14231954 14542935 19407210 21347931 29085870 34286071 35579885 42695862 68572142 71159770 102858213 106739655 171430355 205716426 213479310 342860710 377146781 514291065 754293562 1028582130 1131440343 1885733905 2262880686 3771467810 5657201715 11314403430