Search a number
-
+
1124424314208 = 253213436984349
BaseRepresentation
bin10000010111001100111…
…010010110110101100000
310222111100001201111002200
4100113030322112311200
5121410310111023313
62220315311213200
7144144165654456
oct20271472266540
93874301644080
101124424314208
113a3958236838
12161b07517200
1382056c79bc0
143c5cb1d69d6
151e3aed59b73
hex105cce96d60

1124424314208 has 144 divisors (see below), whose sum is σ = 3523632512400. Its totient is φ = 337930693632.

The previous prime is 1124424314207. The next prime is 1124424314243. The reversal of 1124424314208 is 8024134244211.

1124424314208 is a `hidden beast` number, since 1 + 1 + 2 + 442 + 4 + 3 + 1 + 4 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11244243142082 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124424314207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331183 + ... + 3653166.

It is an arithmetic number, because the mean of its divisors is an integer number (24469670225).

Almost surely, 21124424314208 is an apocalyptic number.

1124424314208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1124424314208 is an abundant number, since it is smaller than the sum of its proper divisors (2399208198192).

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

1124424314208 is a wasteful number, since it uses less digits than its factorization.

1124424314208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984421 (or 6984410 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 1124424314208 its reverse (8024134244211), we get a palindrome (9148558558419).

The spelling of 1124424314208 in words is "one trillion, one hundred twenty-four billion, four hundred twenty-four million, three hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 6984349 13968698 20953047 27937396 41906094 55874792 62859141 83812188 90796537 111749584 125718282 167624376 181593074 223499168 251436564 272389611 300327007 335248752 363186148 502873128 544779222 600654014 670497504 726372296 817168833 900981021 1005746256 1089558444 1201308028 1452744592 1634337666 1801962042 2011492512 2179116888 2402616056 2702943063 2905489184 3268675332 3603924084 3904251091 4358233776 4805232112 5405886126 6537350664 7207848168 7808502182 8716467552 9610464224 10811772252 11712753273 13074701328 14415696336 15617004364 21623544504 23425506546 26149402656 28831392672 31234008728 35138259819 43247089008 46851013092 62468017456 70276519638 86494178016 93702026184 124936034912 140553039276 187404052368 281106078552 374808104736 562212157104 1124424314208