Search a number
-
+
244944449442 = 233711175958733
BaseRepresentation
bin1110010000011111010…
…0111010111110100010
3212102020121012021112000
43210013310322332202
513003121234340232
6304305333344430
723460644316210
oct3440764727642
9772217167460
10244944449442
11949758352a0
123b57b498116
131a137880664
14bbd920dcb0
15658908d27c
hex3907d3afa2

244944449442 has 256 divisors, whose sum is σ = 730744934400. Its totient is φ = 58863559680.

The previous prime is 244944449423. The next prime is 244944449467.

244944449442 is a `hidden beast` number, since 24 + 4 + 94 + 4 + 4 + 494 + 42 = 666.

244944449442 is nontrivially palindromic in base 10.

244944449442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2449444494422 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4141108 + ... + 4199840.

It is an arithmetic number, because the mean of its divisors is an integer number (2854472400).

Almost surely, 2244944449442 is an apocalyptic number.

244944449442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244944449442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365372467200).

244944449442 is an abundant number, since it is smaller than the sum of its proper divisors (485800484958).

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

244944449442 is a wasteful number, since it uses less digits than its factorization.

244944449442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58838 (or 58832 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 244944449442 in words is "two hundred forty-four billion, nine hundred forty-four million, four hundred forty-nine thousand, four hundred forty-two".