Search a number
-
+
330404604450432 = 2733723254828579
BaseRepresentation
bin100101100100000000101000…
…1000101001001011010000000
31121022212101000222022000220020
41023020001101011021122000
5321301322112214403212
63130413440241013440
7126410642052230121
oct11310012105113200
91538771028260806
10330404604450432
1196305895644706
1231082761624280
131124903609a285
145b8394d6c0048
15282e8ae3a2d8c
hex12c8051149680

330404604450432 has 64 divisors (see below), whose sum is σ = 901357155760800. Its totient is φ = 107158250087424.

The previous prime is 330404604450391. The next prime is 330404604450439. The reversal of 330404604450432 is 234054406404033.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (330404604450439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11627400082 + ... + 11627428497.

Almost surely, 2330404604450432 is an apocalyptic number.

330404604450432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330404604450432 is an abundant number, since it is smaller than the sum of its proper divisors (570952551310368).

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

330404604450432 is a wasteful number, since it uses less digits than its factorization.

330404604450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23254828633 (or 23254828621 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

The spelling of 330404604450432 in words is "three hundred thirty trillion, four hundred four billion, six hundred four million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 23254828579 46509657158 69764485737 93019314316 139528971474 186038628632 279057942948 372077257264 558115885896 744154514528 860428657423 1116231771792 1488309029056 1720857314846 2232463543584 2581285972269 2976618058112 3441714629692 4464927087168 5162571944538 6883429259384 8929854174336 10325143889076 13766858518768 20650287778152 27533717037536 41300575556304 55067434075072 82601151112608 110134868150144 165202302225216 330404604450432