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234002430434432 = 2711271961123541
BaseRepresentation
bin110101001101001011101111…
…101111100001110010000000
31010200112102011201022101020202
4311031023233233201302000
5221132343434142400212
62145403122115224332
7100201055240251622
oct6515135757416200
91120472151271222
10234002430434432
1168618967605370
12222b32a45a80a8
13a075446baa12a
1441adac7012c12
151c0be183ac0c2
hexd4d2efbe1c80

234002430434432 has 64 divisors (see below), whose sum is σ = 508743464774400. Its totient is φ = 106325620300800.

The previous prime is 234002430434429. The next prime is 234002430434473. The reversal of 234002430434432 is 234434034200432.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26733419 + ... + 34390122.

It is an arithmetic number, because the mean of its divisors is an integer number (7949116637100).

Almost surely, 2234002430434432 is an apocalyptic number.

234002430434432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234002430434432 is an abundant number, since it is smaller than the sum of its proper divisors (274741034339968).

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

234002430434432 is a wasteful number, since it uses less digits than its factorization.

234002430434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61126285 (or 61126273 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 234002430434432 its reverse (234434034200432), we get a palindrome (468436464634864).

The spelling of 234002430434432 in words is "two hundred thirty-four trillion, two billion, four hundred thirty million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2719 5438 10876 21752 29909 43504 59818 87008 119636 174016 239272 348032 478544 957088 1914176 3828352 61123541 122247082 244494164 488988328 672358951 977976656 1344717902 1955953312 2689435804 3911906624 5378871608 7823813248 10757743216 21515486432 43030972864 86061945728 166194907979 332389815958 664779631916 1329559263832 1828143987769 2659118527664 3656287975538 5318237055328 7312575951076 10636474110656 14625151902152 21272948221312 29250303804304 58500607608608 117001215217216 234002430434432