Search a number
-
+
449349788205360 = 243257149598367141
BaseRepresentation
bin110011000101011100110011…
…0100000011000000100110000
32011221000102100100012212112200
41212022321212200120010300
5432344121331240032420
64231404235401023200
7163435310434322550
oct14612714640300460
92157012310185480
10449349788205360
111201a41a1a0a749
1242492bbaa84b00
1316396670719b33
147cd69080a9160
1536e3944b91b90
hex198ae66818130

449349788205360 has 240 divisors, whose sum is σ = 1736222099227200. Its totient is φ = 102019203901440.

The previous prime is 449349788205299. The next prime is 449349788205469. The reversal of 449349788205360 is 63502887943944.

449349788205360 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 4 + 9 + 7 + 8 + 82 + 0 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 298432611 + ... + 299934530.

It is an arithmetic number, because the mean of its divisors is an integer number (7234258746780).

Almost surely, 2449349788205360 is an apocalyptic number.

449349788205360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449349788205360 is an abundant number, since it is smaller than the sum of its proper divisors (1286872311021840).

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

449349788205360 is a wasteful number, since it uses less digits than its factorization.

449349788205360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598367316 (or 598367307 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 449349788205360 in words is "four hundred forty-nine trillion, three hundred forty-nine billion, seven hundred eighty-eight million, two hundred five thousand, three hundred sixty".