Search a number
-
+
11424404430 = 235517276553
BaseRepresentation
bin10101010001111001…
…01001001111001110
31002111012000212200000
422220330221033032
5141344121420210
65125344345130
7553051556355
oct125074511716
932435025600
1011424404430
11493286215a
12226a0151a6
131100b3202a
147a53c899c
1546ce73ac0
hex2a8f293ce

11424404430 has 96 divisors (see below), whose sum is σ = 32615672544. Its totient is φ = 2867291136.

The previous prime is 11424404429. The next prime is 11424404437. The reversal of 11424404430 is 3440442411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11424404394 and 11424404403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424404437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96967 + ... + 179586.

It is an arithmetic number, because the mean of its divisors is an integer number (339746589).

Almost surely, 211424404430 is an apocalyptic number.

11424404430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11424404430 is an abundant number, since it is smaller than the sum of its proper divisors (21191268114).

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

11424404430 is a wasteful number, since it uses less digits than its factorization.

11424404430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276592 (or 276580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11424404430 its reverse (3440442411), we get a palindrome (14864846841).

The spelling of 11424404430 in words is "eleven billion, four hundred twenty-four million, four hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2295 2430 2754 4131 4590 6885 8262 13770 20655 41310 276553 553106 829659 1382765 1659318 2488977 2765530 4148295 4701401 4977954 7466931 8296590 9402802 12444885 14104203 14933862 22400793 23507005 24889770 28208406 37334655 42312609 44801586 47014010 67202379 70521015 74669310 84625218 112003965 126937827 134404758 141042030 211563045 224007930 253875654 336011895 380813481 423126090 634689135 672023790 761626962 1142440443 1269378270 1904067405 2284880886 3808134810 5712202215 11424404430