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11424314244 = 22371076831861
BaseRepresentation
bin10101010001111000…
…10011001110000100
31002111011212021221210
422220330103032010
5141344111023434
65125342411420
7553051032420
oct125074231604
932434767853
1011424314244
114932800422
122269b90b70
131100accc75
147a53a3b80
1546ce56ee9
hex2a8f13384

11424314244 has 96 divisors (see below), whose sum is σ = 30811124736. Its totient is φ = 3227114880.

The previous prime is 11424314233. The next prime is 11424314249. The reversal of 11424314244 is 44241342411.

It is a happy number.

It is a super-2 number, since 2×114243142442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11424314249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6137874 + ... + 6139734.

It is an arithmetic number, because the mean of its divisors is an integer number (320949216).

Almost surely, 211424314244 is an apocalyptic number.

11424314244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11424314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15405562368).

11424314244 is an abundant number, since it is smaller than the sum of its proper divisors (19386810492).

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

11424314244 is a wasteful number, since it uses less digits than its factorization.

11424314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2663 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 11424314244 its reverse (44241342411), we get a palindrome (55665656655).

The spelling of 11424314244 in words is "eleven billion, four hundred twenty-four million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 683 749 1284 1366 1498 1861 2049 2247 2732 2996 3722 4098 4494 4781 5583 7444 8196 8988 9562 11166 13027 14343 19124 22332 26054 28686 39081 52108 57372 73081 78162 146162 156324 199127 219243 292324 398254 438486 511567 597381 796508 876972 1023134 1194762 1271063 1393889 1534701 2046268 2389524 2542126 2787778 3069402 3813189 4181667 5084252 5575556 6138804 7626378 8363334 8897441 15252756 16726668 17794882 26692323 35589764 53384646 106769292 136003741 272007482 408011223 544014964 816022446 952026187 1632044892 1904052374 2856078561 3808104748 5712157122 11424314244