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121443141432 = 233232111042681
BaseRepresentation
bin111000100011010010…
…0110100011100111000
3102121110120200210101010
41301012210310130320
53442203421011212
6131442403553520
711526321445554
oct1610644643470
9377416623333
10121443141432
114755a53a698
121b65308b8a0
13b5b518c502
145c40c88864
15325ba1d03c
hex1c46934738

121443141432 has 64 divisors (see below), whose sum is σ = 318309960960. Its totient is φ = 38537452800.

The previous prime is 121443141403. The next prime is 121443141473. The reversal of 121443141432 is 234141344121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121443141432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 404869 + ... + 637812.

It is an arithmetic number, because the mean of its divisors is an integer number (4973593140).

Almost surely, 2121443141432 is an apocalyptic number.

121443141432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121443141432 is an abundant number, since it is smaller than the sum of its proper divisors (196866819528).

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

121443141432 is a wasteful number, since it uses less digits than its factorization.

121443141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042924 (or 1042920 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 121443141432 its reverse (234141344121), we get a palindrome (355584485553).

The spelling of 121443141432 in words is "one hundred twenty-one billion, four hundred forty-three million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 211 276 422 552 633 844 1266 1688 2532 4853 5064 9706 14559 19412 29118 38824 58236 116472 1042681 2085362 3128043 4170724 6256086 8341448 12512172 23981663 25024344 47963326 71944989 95926652 143889978 191853304 220005691 287779956 440011382 575559912 660017073 880022764 1320034146 1760045528 2640068292 5060130893 5280136584 10120261786 15180392679 20240523572 30360785358 40481047144 60721570716 121443141432