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234455030435232 = 253219140009106531
BaseRepresentation
bin110101010011110001010000…
…110011100000110110100000
31010202010200102012001122110100
4311103301100303200312200
5221212302400242411412
62150351053140102400
7100245550134631635
oct6523612063406640
91122120365048410
10234455030435232
11687829024a5902
1222366b57394a00
13a0a9025b2b5a9
1441c7980d4818c
151c18aa7a2aedc
hexd53c50ce0da0

234455030435232 has 144 divisors (see below), whose sum is σ = 670245276879360. Its totient is φ = 77739832857600.

The previous prime is 234455030435173. The next prime is 234455030435239. The reversal of 234455030435232 is 232534030554432.

234455030435232 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 5 + 50 + 30 + 43 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2344550304352322 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (234455030435239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200761807 + ... + 2200868337.

It is an arithmetic number, because the mean of its divisors is an integer number (4654481089440).

Almost surely, 2234455030435232 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 234455030435232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335122638439680).

234455030435232 is an abundant number, since it is smaller than the sum of its proper divisors (435790246444128).

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

234455030435232 is a wasteful number, since it uses less digits than its factorization.

234455030435232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146747 (or 146736 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 234455030435232 its reverse (232534030554432), we get a palindrome (466989060989664).

The spelling of 234455030435232 in words is "two hundred thirty-four trillion, four hundred fifty-five billion, thirty million, four hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 27504 40009 55008 80018 106531 120027 160036 213062 240054 319593 320072 360081 426124 480108 639186 640144 720162 852248 958779 960216 1278372 1280288 1440324 1704496 1917558 1920432 2556744 2880648 3408992 3835116 3840864 5113488 5761296 7641719 7670232 10226976 11522592 15283438 15340464 20347421 22925157 30566876 30680928 40694842 45850314 61042263 61133752 68775471 81389684 91700628 122084526 122267504 137550942 162779368 183126789 183401256 244169052 244535008 275101884 325558736 366253578 366802512 488338104 550203768 651117472 732507156 733605024 976676208 1100407536 1465014312 1953352416 2200815072 2930028624 4262198779 5860057248 8524397558 12786596337 17048795116 25573192674 34097590232 38359789011 51146385348 68195180464 76719578022 102292770696 136390360928 153439156044 204585541392 306878312088 409171082784 613756624176 814079966789 1227513248352 1628159933578 2442239900367 3256319867156 4884479800734 6512639734312 7326719701101 9768959601468 13025279468624 14653439402202 19537919202936 26050558937248 29306878804404 39075838405872 58613757608808 78151676811744 117227515217616 234455030435232