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234314397915392 = 2817432415195467
BaseRepresentation
bin110101010001101110010010…
…011101000001100100000000
31010201122020102021011102121102
4311101232102131001210000
5221203001341331243032
62150202314241113532
7100232441133141314
oct6521562235014400
91121566367142542
10234314397915392
11687291a60721a3
12223438499288a8
13a0989a31c5b02
1441c0c3d709b44
151c150c6516362
hexd51b92741900

234314397915392 has 144 divisors (see below), whose sum is σ = 508845715342272. Its totient is φ = 107254368829440.

The previous prime is 234314397915383. The next prime is 234314397915419. The reversal of 234314397915392 is 293519793413432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42502043 + ... + 47697509.

It is an arithmetic number, because the mean of its divisors is an integer number (3533650800988).

Almost surely, 2234314397915392 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 234314397915392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254422857671136).

234314397915392 is an abundant number, since it is smaller than the sum of its proper divisors (274531317426880).

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

234314397915392 is a wasteful number, since it uses less digits than its factorization.

234314397915392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5195784 (or 5195770 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 65.

The spelling of 234314397915392 in words is "two hundred thirty-four trillion, three hundred fourteen billion, three hundred ninety-seven million, nine hundred fifteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 172 241 256 272 344 482 544 688 731 964 1088 1376 1462 1928 2176 2752 2924 3856 4097 4352 5504 5848 7712 8194 10363 11008 11696 15424 16388 20726 23392 30848 32776 41452 46784 61696 65552 82904 93568 131104 165808 176171 187136 262208 331616 352342 524416 663232 704684 1048832 1326464 1409368 2652928 2818736 5195467 5637472 10390934 11274944 20781868 22549888 41563736 45099776 83127472 88322939 166254944 176645878 223405081 332509888 353291756 446810162 665019776 706583512 893620324 1252107547 1330039552 1413167024 1787240648 2504215094 2826334048 3574481296 3797886377 5008430188 5652668096 7148962592 7595772754 10016860376 11305336192 14297925184 15191545508 20033720752 21285828299 22610672384 28595850368 30383091016 40067441504 42571656598 53840624521 57191700736 60766182032 80134883008 85143313196 107681249042 121532364064 160269766016 170286626392 215362498084 243064728128 320539532032 340573252784 430724996168 486129456256 681146505568 861449992336 915290616857 972258912512 1362293011136 1722899984672 1830581233714 2724586022272 3445799969344 3661162467428 5449172044544 6891599938688 7322324934856 13783199877376 14644649869712 29289299739424 58578599478848 117157198957696 234314397915392