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4484440804000 = 255310111100101
BaseRepresentation
bin100000101000001110110…
…0000000100101010100000
3120212201010101112100210011
41001100131200010222200
51041433113321212000
613312042413414304
7641663423621143
oct101203540045240
916781111470704
104484440804000
111479927a198a3
1260514619a394
13266b5b5ba351
14117095d7805a
157b9b5b6b2ba
hex4141d804aa0

4484440804000 has 96 divisors (see below), whose sum is σ = 11127363850512. Its totient is φ = 1776016000000.

The previous prime is 4484440803979. The next prime is 4484440804001. The reversal of 4484440804000 is 4080444844.

It can be written as a sum of positive squares in 8 ways, for example, as 1430349024784 + 3054091779216 = 1195972^2 + 1747596^2 .

It is a super-2 number, since 2×44844408040002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4484440804001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5146051 + ... + 5954050.

Almost surely, 24484440804000 is an apocalyptic number.

4484440804000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4484440804000 is an abundant number, since it is smaller than the sum of its proper divisors (6642923046512).

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

4484440804000 is a wasteful number, since it uses less digits than its factorization.

4484440804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100227 (or 11100209 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 4484440804000 in words is "four trillion, four hundred eighty-four billion, four hundred forty million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 80800 101000 202000 404000 11100101 22200202 44400404 55500505 88800808 111001010 177601616 222002020 277502525 355203232 444004040 555005050 888008080 1110010100 1121110201 1387512625 1776016160 2220020200 2242220402 2775025250 4440040400 4484440804 5550050500 5605551005 8880080800 8968881608 11100101000 11211102010 17937763216 22200202000 22422204020 28027755025 35875526432 44400404000 44844408040 56055510050 89688816080 112111020100 140138775125 179377632160 224222040200 280277550250 448444080400 560555100500 896888160800 1121110201000 2242220402000 4484440804000