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232312404213232 = 24722133019310463
BaseRepresentation
bin110100110100100101110010…
…010101000111110111110000
31010110112211220212211000102121
4310310211302111013313300
5220422201300434310412
62142030502320124024
766635005641351430
oct6464456225076760
91113484825730377
10232312404213232
1168027156896482
122207b84a166614
139c81c728b0b25
144151da21602c0
151bccea34bc107
hexd34972547df0

232312404213232 has 80 divisors (see below), whose sum is σ = 514810610012160. Its totient is φ = 99484184975616.

The previous prime is 232312404213221. The next prime is 232312404213271.

It is a happy number.

232312404213232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 748122033 + ... + 748432495.

It is an arithmetic number, because the mean of its divisors is an integer number (6435132625152).

Almost surely, 2232312404213232 is an apocalyptic number.

It is an amenable number.

232312404213232 is an abundant number, since it is smaller than the sum of its proper divisors (282498205798928).

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

232312404213232 is a wasteful number, since it uses less digits than its factorization.

232312404213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315710 (or 315704 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 23231240 and 4213232, that added together give a palindrome (27444472).

The spelling of 232312404213232 in words is "two hundred thirty-two trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 2213 3019 4426 6038 8852 12076 15491 17704 21133 24152 30982 35408 42266 48304 61964 84532 123928 169064 247856 310463 338128 620926 1241852 2173241 2483704 4346482 4967408 6681047 8692964 13362094 17385928 26724188 34771856 46767329 53448376 93534658 106896752 187069316 374138632 687054619 748277264 937287797 1374109238 1874575594 2748218476 3749151188 4809382333 5496436952 6561014579 7498302376 9618764666 10992873904 13122029158 14996604752 19237529332 26244058316 38475058664 52488116632 76950117328 104976233264 2074217894761 4148435789522 8296871579044 14519525263327 16593743158088 29039050526654 33187486316176 58078101053308 116156202106616 232312404213232