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141323134000240 = 24515711251841879
BaseRepresentation
bin100000001000100001011011…
…001100110101110001110000
3200112101100201012021222012001
4200020201123030311301300
5122010414234301001430
61220322541304343344
741524155001521343
oct4010413314656160
9615340635258161
10141323134000240
11410368939471a5
1213a25453774b54
1360b193958347a
1426c810d08645a
1511512143903ca
hex80885b335c70

141323134000240 has 40 divisors (see below), whose sum is σ = 330669129169440. Its totient is φ = 56169194654976.

The previous prime is 141323134000159. The next prime is 141323134000247. The reversal of 141323134000240 is 42000431323141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1413231340002402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141323134000199 and 141323134000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141323134000247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5625908380 + ... + 5625933499.

It is an arithmetic number, because the mean of its divisors is an integer number (8266728229236).

Almost surely, 2141323134000240 is an apocalyptic number.

141323134000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141323134000240 is an abundant number, since it is smaller than the sum of its proper divisors (189345995169200).

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

141323134000240 is a wasteful number, since it uses less digits than its factorization.

141323134000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11251842049 (or 11251842043 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 141323134000240 its reverse (42000431323141), we get a palindrome (183323565323381).

The spelling of 141323134000240 in words is "one hundred forty-one trillion, three hundred twenty-three billion, one hundred thirty-four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 157 314 628 785 1256 1570 2512 3140 6280 12560 11251841879 22503683758 45007367516 56259209395 90014735032 112518418790 180029470064 225036837580 450073675160 900147350320 1766539175003 3533078350006 7066156700012 8832695875015 14132313400024 17665391750030 28264626800048 35330783500060 70661567000120 141323134000240