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4444488844444 = 22112731011379091
BaseRepresentation
bin100000010101101000000…
…1011011100010010011100
3120201220000001212112101101
41000223100023130102130
51040304303121010234
613241434152322444
7636050401564015
oct100532013342234
916656001775341
104444488844444
1114639960a3300
125b94563a3424
132631624882ac
14115185d1400c
157a9284c3814
hex40ad02dc49c

4444488844444 has 144 divisors (see below), whose sum is σ = 8816984674848. Its totient is φ = 1958204160000.

The previous prime is 4444488844427. The next prime is 4444488844457.

4444488844444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488884339 + ... + 488893429.

It is an arithmetic number, because the mean of its divisors is an integer number (61229060242).

Almost surely, 24444488844444 is an apocalyptic number.

4444488844444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444488844444 is a deficient number, since it is larger than the sum of its proper divisors (4372495830404).

4444488844444 is a wasteful number, since it uses less digits than its factorization.

4444488844444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9428 (or 9415 counting only the distinct ones).

The product of its digits is 536870912, while the sum is 64.

It can be divided in two parts, 44444 and 88844444, that added together give a palindrome (88888888).

The spelling of 4444488844444 in words is "four trillion, four hundred forty-four billion, four hundred eighty-eight million, eight hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 73 101 121 137 146 202 242 274 292 404 484 548 803 1111 1507 1606 2222 3014 3212 4444 6028 7373 8833 9091 10001 12221 13837 14746 16577 17666 18182 20002 24442 27674 29492 33154 35332 36364 40004 48884 55348 66308 81103 100001 110011 152207 162206 200002 220022 304414 324412 400004 440044 608828 663643 892133 918191 1010101 1100011 1210121 1245467 1327286 1674277 1784266 1836382 2020202 2200022 2420242 2490934 2654572 3348554 3568532 3672764 4040404 4400044 4840484 4981868 6697108 7300073 10100101 11111111 13700137 14600146 20200202 22222222 27400274 29200292 40400404 44444444 54800548 67027943 80300803 90919091 111101111 122222221 125792167 134055886 150701507 160601606 181838182 222202222 244444442 251584334 268111772 301403014 321203212 363676364 444404444 488888884 503168668 602806028 737307373 1000110001 1383713837 1474614746 2000220002 2767427674 2949229492 4000440004 5534855348 8110381103 9182828191 11001210011 15220852207 16220762206 18365656382 22002420022 30441704414 32441524412 36731312764 44004840044 60883408828 101011110101 202022220202 404044440404 1111122211111 2222244422222 4444488844444