Search a number
-
+
121941394848 = 253271323892273
BaseRepresentation
bin111000110010001000…
…1100000010110100000
3102122202022020200120100
41301210101200112200
53444213444113343
6132004043142400
711544551516460
oct1614421402640
9378668220510
10121941394848
1147795813879
121b771b14a00
13b664482610
145c8b107ba0
15328a63d9d3
hex1c644605a0

121941394848 has 576 divisors, whose sum is σ = 450553259520. Its totient is φ = 30403067904.

The previous prime is 121941394829. The next prime is 121941394889. The reversal of 121941394848 is 848493149121.

121941394848 is a `hidden beast` number, since 1 + 21 + 9 + 4 + 139 + 484 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 121941394794 and 121941394803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53646640 + ... + 53648912.

It is an arithmetic number, because the mean of its divisors is an integer number (782210520).

Almost surely, 2121941394848 is an apocalyptic number.

121941394848 is a gapful number since it is divisible by the number (18) 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 121941394848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225276629760).

121941394848 is an abundant number, since it is smaller than the sum of its proper divisors (328611864672).

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

121941394848 is a wasteful number, since it uses less digits than its factorization.

121941394848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2410 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 121941394848 in words is "one hundred twenty-one billion, nine hundred forty-one million, three hundred ninety-four thousand, eight hundred forty-eight".