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11334341101424 = 24111910141598069
BaseRepresentation
bin1010010011101111101101…
…1000000000011101110000
31111010112220201102102001212
42210323323120000131300
52441200212310221144
640034531401415252
72246610352514135
oct244737330003560
944115821372055
1011334341101424
11367a95a07aa70
121330807a9a528
13642a92ac8203
142b28294a858c
15149c73b4449e
hexa4efb600770

11334341101424 has 160 divisors (see below), whose sum is σ = 25476512256000. Its totient is φ = 4830731136000.

The previous prime is 11334341101381. The next prime is 11334341101459. The reversal of 11334341101424 is 42410114343311.

It is a happy number.

It is a congruent number.

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, 1404673262 + ... + 1404681330.

It is an arithmetic number, because the mean of its divisors is an integer number (159228201600).

Almost surely, 211334341101424 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 11334341101424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738256128000).

11334341101424 is an abundant number, since it is smaller than the sum of its proper divisors (14142171154576).

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

11334341101424 is a wasteful number, since it uses less digits than its factorization.

11334341101424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 11334341101424 its reverse (42410114343311), we get a palindrome (53744455444735).

The spelling of 11334341101424 in words is "eleven trillion, three hundred thirty-four billion, three hundred forty-one million, one hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 101 152 176 202 209 304 404 418 808 836 1111 1616 1672 1919 2222 3344 3838 4159 4444 7676 8069 8318 8888 15352 16138 16636 17776 21109 30704 32276 33272 42218 45749 64552 66544 79021 84436 88759 91498 129104 153311 158042 168872 177518 182996 306622 316084 337744 355036 365992 420059 613244 632168 710072 731984 814969 840118 869231 1226488 1264336 1420144 1629938 1680236 1686421 1738462 2452976 3259876 3360472 3372842 3476924 4620649 6519752 6720944 6745684 6953848 7981121 8964659 9241298 13039504 13491368 13907696 15484411 15962242 17929318 18482596 26982736 30968822 31924484 33558971 35858636 36965192 61937644 63848968 67117942 71717272 73930384 87792331 123875288 127697936 134235884 143434544 170328521 175584662 247750576 268471768 340657042 351169324 369148681 536943536 637620449 681314084 702338648 738297362 1275240898 1362628168 1404677296 1476594724 2550481796 2725256336 2953189448 3389456071 5100963592 5906378896 6778912142 7013824939 10201927184 13557824284 14027649878 27115648568 28055299756 37284016781 54231297136 56110599512 64399665349 74568033562 112221199024 128799330698 149136067124 257598661396 298272134248 515197322792 596544268496 708396318839 1030394645584 1416792637678 2833585275356 5667170550712 11334341101424