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11434414323320 = 23523291798723827
BaseRepresentation
bin1010011001100100100000…
…1101000011011001111000
31111111010012222211210212122
42212121020031003121320
52444320140031321240
640152521502100412
72260052306045432
oct246311015033170
944433188753778
1011434414323320
11370934287782a
12134809627a708
1364c350833b01
142b7600149652
1514c67e4e44b5
hexa6648343678

11434414323320 has 128 divisors (see below), whose sum is σ = 27774450547200. Its totient is φ = 4223635401216.

The previous prime is 11434414323289. The next prime is 11434414323427. The reversal of 11434414323320 is 2332341443411.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 479881247 + ... + 479905073.

It is an arithmetic number, because the mean of its divisors is an integer number (216987894900).

Almost surely, 211434414323320 is an apocalyptic number.

11434414323320 is a gapful number since it is divisible by the number (10) 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 11434414323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887225273600).

11434414323320 is an abundant number, since it is smaller than the sum of its proper divisors (16340036223880).

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

11434414323320 is a wasteful number, since it uses less digits than its factorization.

11434414323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41877 (or 41873 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 11434414323320 its reverse (2332341443411), we get a palindrome (13766755766731).

The spelling of 11434414323320 in words is "eleven trillion, four hundred thirty-four billion, four hundred fourteen million, three hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 13340 17987 23827 26680 35974 47654 71948 89935 95308 119135 143896 179870 190616 238270 359740 413701 476540 521623 548021 690983 719480 827402 953080 1043246 1096042 1381966 1654804 2068505 2086492 2192084 2608115 2740105 2763932 3309608 3454915 4137010 4172984 4384168 5216230 5480210 5527864 6909830 8274020 10432460 10960420 11997329 13819660 15892609 16548040 20864920 21920840 23994658 27639320 31785218 47989316 59986645 63570436 79463045 95978632 119973290 127140872 158926090 239946580 317852180 428576249 479893160 635704360 857152498 1714304996 2142881245 3428609992 4285762490 8571524980 9857253727 12428711221 17143049960 19714507454 24857422442 39429014908 49286268635 49714844884 62143556105 78858029816 98572537270 99429689768 124287112210 197145074540 248574224420 285860358083 394290149080 497148448840 571720716166 1143441432332 1429301790415 2286882864664 2858603580830 5717207161660 11434414323320