Search a number
-
+
480840404000 = 25531110928191
BaseRepresentation
bin1101111111101000101…
…00100100110000100000
31200222010121001101112212
412333310110210300200
530334230120412000
61004521154341252
746511446666025
oct6776424446040
91628117041485
10480840404000
11175a17966440
127923458a828
133645c901718
14193b67c354c
15c793a70c35
hex6ff4524c20

480840404000 has 96 divisors (see below), whose sum is σ = 1288827251712. Its totient is φ = 174851040000.

The previous prime is 480840403991. The next prime is 480840404003. The reversal of 480840404000 is 404048084.

It is a happy number.

It is a super-3 number, since 3×4808404040003 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (480840404003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5420096 + ... + 5508095.

It is an arithmetic number, because the mean of its divisors is an integer number (13425283872).

Almost surely, 2480840404000 is an apocalyptic number.

480840404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480840404000 is an abundant number, since it is smaller than the sum of its proper divisors (807986847712).

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

480840404000 is a wasteful number, since it uses less digits than its factorization.

480840404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928227 (or 10928209 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 480840404000 in words is "four hundred eighty billion, eight hundred forty million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 10928191 21856382 43712764 54640955 87425528 109281910 120210101 174851056 218563820 240420202 273204775 349702112 437127640 480840404 546409550 601050505 874255280 961680808 1092819100 1202101010 1366023875 1748510560 1923361616 2185638200 2404202020 2732047750 3005252525 3846723232 4371276400 4808404040 5464095500 6010505050 8742552800 9616808080 10928191000 12021010100 15026262625 19233616160 21856382000 24042020200 30052525250 43712764000 48084040400 60105050500 96168080800 120210101000 240420202000 480840404000