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32214233132000 = 255320114004753
BaseRepresentation
bin1110101001100011101011…
…11011000010101111100000
311020001122120021222022111122
413110301311323002233200
513210244222140211000
6152303003035431412
76533254504436033
oct724616573025740
9136048507868448
1032214233132000
11a29aa85863847
1237434015b5568
1314c8a349b938a
147d526a35d01a
153ace75a60085
hex1d4c75ec2be0

32214233132000 has 96 divisors (see below), whose sum is σ = 79189749291744. Its totient is φ = 12879282432000.

The previous prime is 32214233131967. The next prime is 32214233132009. The reversal of 32214233132000 is 23133241223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214233132009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6041624 + ... + 10046376.

It is an arithmetic number, because the mean of its divisors is an integer number (824893221789).

Almost surely, 232214233132000 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 32214233132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39594874645872).

32214233132000 is an abundant number, since it is smaller than the sum of its proper divisors (46975516159744).

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

32214233132000 is a wasteful number, since it uses less digits than its factorization.

32214233132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006789 (or 4006771 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 32214233132000 its reverse (23133241223), we get a palindrome (32237366373223).

The spelling of 32214233132000 in words is "thirty-two trillion, two hundred fourteen billion, two hundred thirty-three million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2011 4000 4022 8044 10055 16088 20110 32176 40220 50275 64352 80440 100550 160880 201100 251375 321760 402200 502750 804400 1005500 1608800 2011000 4004753 4022000 8009506 8044000 16019012 20023765 32038024 40047530 64076048 80095060 100118825 128152096 160190120 200237650 320380240 400475300 500594125 640760480 800950600 1001188250 1601901200 2002376500 3203802400 4004753000 8009506000 8053558283 16019012000 16107116566 32214233132 40267791415 64428466264 80535582830 128856932528 161071165660 201338957075 257713865056 322142331320 402677914150 644284662640 805355828300 1006694785375 1288569325280 1610711656600 2013389570750 3221423313200 4026779141500 6442846626400 8053558283000 16107116566000 32214233132000