Search a number
-
+
244461457613016 = 2332710111171429899
BaseRepresentation
bin110111100101011000011110…
…010101111010000011011000
31012001120021202022011100201100
4313211120132111322003120
5224020224031122104031
62223532013201551400
7102330520545362010
oct6745303625720330
91161507668140640
10244461457613016
11709905817a86a6
1223502327645560
13a6538026bb697
144451dd78c2c40
151d3e00bd37de6
hexde561e57a0d8

244461457613016 has 192 divisors, whose sum is σ = 764228346336000. Its totient is φ = 69148233504000.

The previous prime is 244461457613003. The next prime is 244461457613029. The reversal of 244461457613016 is 610316754164442.

It is a happy number.

244461457613016 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 6 + 1 + 4 + 5 + 7 + 613 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (244461457613003) and next prime (244461457613029).

It is a super-2 number, since 2×2444614576130162 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568433635 + ... + 568863533.

It is an arithmetic number, because the mean of its divisors is an integer number (3980355970500).

Almost surely, 2244461457613016 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 244461457613016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382114173168000).

244461457613016 is an abundant number, since it is smaller than the sum of its proper divisors (519766888722984).

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

244461457613016 is a wasteful number, since it uses less digits than its factorization.

244461457613016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441190 (or 441183 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 244461457613016 in words is "two hundred forty-four trillion, four hundred sixty-one billion, four hundred fifty-seven million, six hundred thirteen thousand, sixteen".