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234311040133120 = 2115211110839383
BaseRepresentation
bin110101010001101011001010…
…010100000110100000000000
31010201121220202020220102021001
4311101223022110012200000
5221202423002233224440
62150201001132141344
7100232262001356526
oct6521531224064000
91121556666812231
10234311040133120
1168727832751725
1222343071307854
13a0985896620b2
1441c0a017ac316
151c14e7b84cb9a
hexd51aca506800

234311040133120 has 96 divisors (see below), whose sum is σ = 562475580226560. Its totient is φ = 93680009297920.

The previous prime is 234311040133109. The next prime is 234311040133127. The reversal of 234311040133120 is 21331040113432.

It is not an unprimeable number, because it can be changed into a prime (234311040133127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16196949 + ... + 27036331.

It is an arithmetic number, because the mean of its divisors is an integer number (5859120627360).

Almost surely, 2234311040133120 is an apocalyptic number.

234311040133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234311040133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281237790113280).

234311040133120 is an abundant number, since it is smaller than the sum of its proper divisors (328164540093440).

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

234311040133120 is a wasteful number, since it uses less digits than its factorization.

234311040133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841521 (or 10841501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 234311040133120 its reverse (21331040113432), we get a palindrome (255642080246552).

The spelling of 234311040133120 in words is "two hundred thirty-four trillion, three hundred eleven billion, forty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2111 2560 4222 5120 8444 10240 10555 16888 21110 33776 42220 67552 84440 135104 168880 270208 337760 540416 675520 1080832 1351040 2161664 2702080 4323328 5404160 10808320 10839383 21616640 21678766 43357532 54196915 86715064 108393830 173430128 216787660 346860256 433575320 693720512 867150640 1387441024 1734301280 2774882048 3468602560 5549764096 6937205120 11099528192 13874410240 22199056384 22881937513 27748820480 45763875026 55497640960 91527750052 110995281920 114409687565 183055500104 228819375130 366111000208 457638750260 732222000416 915277500520 1464444000832 1830555001040 2928888001664 3661110002080 5857776003328 7322220004160 11715552006656 14644440008320 23431104013312 29288880016640 46862208026624 58577760033280 117155520066560 234311040133120