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32214052524234 = 237532281971713
BaseRepresentation
bin1110101001100011010110…
…01010000101000011001010
311020001122002201010111020010
413110301223022011003022
513210243334421233414
6152302533104412350
76533250152336550
oct724615312050312
9136048081114203
1032214052524234
11a29a9a2916529
1237433710170b6
1314c8a06461989
147d5250387bd0
153ace64c86959
hex1d4c6b2850ca

32214052524234 has 96 divisors (see below), whose sum is σ = 75314769151104. Its totient is φ = 8998208593920.

The previous prime is 32214052524221. The next prime is 32214052524257. The reversal of 32214052524234 is 43242525041223.

It is a junction number, because it is equal to n+sod(n) for n = 32214052524192 and 32214052524201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32665962 + ... + 33637674.

It is an arithmetic number, because the mean of its divisors is an integer number (784528845324).

Almost surely, 232214052524234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32214052524234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37657384575552).

32214052524234 is an abundant number, since it is smaller than the sum of its proper divisors (43100716626870).

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

32214052524234 is a wasteful number, since it uses less digits than its factorization.

32214052524234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972112 (or 972059 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 32214052524234 its reverse (43242525041223), we get a palindrome (75456577565457).

The spelling of 32214052524234 in words is "thirty-two trillion, two hundred fourteen billion, fifty-two million, five hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 281 318 371 562 742 843 1113 1686 1967 2226 2809 3934 5618 5901 8427 11802 14893 16854 19663 29786 39326 44679 58989 89358 104251 117978 208502 312753 625506 789329 971713 1578658 1943426 2367987 2915139 4735974 5525303 5830278 6801991 11050606 13603982 16575909 20405973 33151818 40811946 51500789 103001578 154502367 273051353 309004734 360505523 546102706 721011046 819154059 1081516569 1638308118 1911359471 2163033138 2729541817 3822718942 5459083634 5734078413 8188625451 11468156826 14471721709 16377250902 19106792719 28943443418 38213585438 43415165127 57320378157 86830330254 101302051963 114640756314 202604103926 303906155889 607812311778 767001250577 1534002501154 2301003751731 4602007503462 5369008754039 10738017508078 16107026262117 32214052524234