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4404480844044 = 2233773137991901
BaseRepresentation
bin100000000010111111110…
…0001000010000100001100
3120121001201211202112101210
41000011333201002010030
51034130334044002134
613211220210134420
7633133066312311
oct100057741020414
916531654675353
104404480844044
111448a25680466
125b174b881410
1325c457864388
1411326c662d08
1579885e5b2e9
hex4017f84210c

4404480844044 has 96 divisors (see below), whose sum is σ = 10777578630336. Its totient is φ = 1398626611200.

The previous prime is 4404480844039. The next prime is 4404480844069.

4404480844044 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44044808440443 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4404480843984 and 4404480844002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3944494 + ... + 4936394.

It is an arithmetic number, because the mean of its divisors is an integer number (112266444066).

Almost surely, 24404480844044 is an apocalyptic number.

It is an amenable number.

4404480844044 is an abundant number, since it is smaller than the sum of its proper divisors (6373097786292).

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

4404480844044 is a wasteful number, since it uses less digits than its factorization.

4404480844044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992155 (or 992153 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

Multiplying 4404480844044 by its sum of digits (48), we get a palindrome (211415080514112).

The spelling of 4404480844044 in words is "four trillion, four hundred four billion, four hundred eighty million, eight hundred forty-four thousand, forty-four".

Divisors: 1 2 3 4 6 12 37 73 74 111 137 146 148 219 222 274 292 411 438 444 548 822 876 1644 2701 5069 5402 8103 10001 10138 10804 15207 16206 20002 20276 30003 30414 32412 40004 60006 60828 120012 370037 740074 991901 1110111 1480148 1983802 2220222 2975703 3967604 4440444 5951406 11902812 36700337 72408773 73400674 110101011 135890437 144817546 146801348 217226319 220202022 271780874 289635092 407671311 434452638 440404044 543561748 815342622 868905276 1630685244 2679124601 5027946169 5358249202 8037373803 9920001901 10055892338 10716498404 15083838507 16074747606 19840003802 20111784676 29760005703 30167677014 32149495212 39680007604 59520011406 60335354028 119040022812 367040070337 734080140674 1101120211011 1468160281348 2202240422022 4404480844044