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32214313414110 = 23519292137911951
BaseRepresentation
bin1110101001100011110101…
…01101010010110111011110
311020001122202220001001212010
413110301322231102313132
513210244403213222420
6152303015024252050
76533256501015462
oct724617255226736
9136048686031763
1032214313414110
11a2a00171079a3
123743424471026
1314c8a48517c99
147d5276c9a4a2
153ace7cb1c4e0
hex1d4c7ab52dde

32214313414110 has 128 divisors (see below), whose sum is σ = 84229345843200. Its totient is φ = 7854034406400.

The previous prime is 32214313414109. The next prime is 32214313414133. The reversal of 32214313414110 is 1141431341223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34868635 + ... + 35780585.

It is an arithmetic number, because the mean of its divisors is an integer number (658041764400).

Almost surely, 232214313414110 is an apocalyptic number.

32214313414110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214313414110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42114672921600).

32214313414110 is an abundant number, since it is smaller than the sum of its proper divisors (52015032429090).

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

32214313414110 is a wasteful number, since it uses less digits than its factorization.

32214313414110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914146.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 32214313414110 its reverse (1141431341223), we get a palindrome (33355744755333).

The spelling of 32214313414110 in words is "thirty-two trillion, two hundred fourteen billion, three hundred thirteen million, four hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2137 2755 3306 4274 5510 6411 8265 10685 12822 16530 21370 32055 40603 61973 64110 81206 121809 123946 185919 203015 243618 309865 371838 406030 609045 619730 911951 929595 1177487 1218090 1823902 1859190 2354974 2735853 3532461 4559755 5471706 5887435 7064922 9119510 11774870 13679265 17327069 17662305 26446579 27358530 34654138 35324610 51981207 52893158 79339737 86635345 103962414 132232895 158679474 173270690 259906035 264465790 396698685 502485001 519812070 793397370 1004970002 1507455003 1948839287 2512425005 3014910006 3897678574 5024850010 5846517861 7537275015 9744196435 11693035722 15074550030 19488392870 29232589305 37027946453 56516339323 58465178610 74055892906 111083839359 113032678646 169549017969 185139732265 222167678718 282581696615 339098035938 370279464530 555419196795 565163393230 847745089845 1073810447137 1110838393590 1695490179690 2147620894274 3221431341411 5369052235685 6442862682822 10738104471370 16107156707055 32214313414110