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232941194112 = 27311192902477
BaseRepresentation
bin1101100011110001100…
…0001000101110000000
3211021021001221201200210
43120330120020232000
512304030421202422
6255002310114120
722554333323544
oct3307430105600
9737231851623
10232941194112
118a87625a970
123918b64b940
1318c73b49203
14b3badc5a24
1560d53c810c
hex363c608b80

232941194112 has 128 divisors (see below), whose sum is σ = 710526614400. Its totient is φ = 66873047040.

The previous prime is 232941194107. The next prime is 232941194183. The reversal of 232941194112 is 211491149232.

It is a happy number.

232941194112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1370983 + ... + 1531494.

It is an arithmetic number, because the mean of its divisors is an integer number (5550989175).

Almost surely, 2232941194112 is an apocalyptic number.

232941194112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

232941194112 is an abundant number, since it is smaller than the sum of its proper divisors (477585420288).

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

232941194112 is a wasteful number, since it uses less digits than its factorization.

232941194112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902524 (or 2902512 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 232941194112 in words is "two hundred thirty-two billion, nine hundred forty-one million, one hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1056 1216 1254 1408 1672 1824 2112 2432 2508 3344 3648 4224 5016 6688 7296 10032 13376 20064 26752 40128 80256 2902477 5804954 8707431 11609908 17414862 23219816 31927247 34829724 46439632 55147063 63854494 69659448 92879264 95781741 110294126 127708988 139318896 165441189 185758528 191563482 220588252 255417976 278637792 330882378 371517056 383126964 441176504 510835952 557275584 606617693 661764756 766253928 882353008 1021671904 1114551168 1213235386 1323529512 1532507856 1764706016 1819853079 2043343808 2426470772 2647059024 3065015712 3529412032 3639706158 4086687616 4852941544 5294118048 6130031424 7058824064 7279412316 9705883088 10588236096 12260062848 14558824632 19411766176 21176472192 29117649264 38823532352 58235298528 77647064704 116470597056 232941194112