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4044448444404 = 22373101137333667
BaseRepresentation
bin111010110110101011111…
…010011010111111110100
3112022122102120021121221210
4322312223322122333310
51012231012300210104
612333554410241420
7565126126360434
oct72665372327764
915278376247853
104044448444404
11131a271787845
12553a11726270
1323450b673304
14dda766362c4
1570313299989
hex3adabe9aff4

4044448444404 has 96 divisors (see below), whose sum is σ = 9731584711296. Its totient is φ = 1306902988800.

The previous prime is 4044448444243. The next prime is 4044448444417.

4044448444404 is nontrivially palindromic in base 10.

It is a congruent number.

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, 11954379 + ... + 12288045.

It is an arithmetic number, because the mean of its divisors is an integer number (101370674076).

Almost surely, 24044448444404 is an apocalyptic number.

It is an amenable number.

4044448444404 is an abundant number, since it is smaller than the sum of its proper divisors (5687136266892).

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

4044448444404 is a wasteful number, since it uses less digits than its factorization.

4044448444404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333985 (or 333983 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 48.

The spelling of 4044448444404 in words is "four trillion, forty-four billion, four hundred forty-eight million, four hundred forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 73 101 137 146 202 219 274 292 303 404 411 438 548 606 822 876 1212 1644 7373 10001 13837 14746 20002 22119 27674 29492 30003 40004 41511 44238 55348 60006 83022 88476 120012 166044 333667 667334 1001001 1010101 1334668 2002002 2020202 3030303 4004004 4040404 6060606 12121212 24357691 33700367 45712379 48715382 67400734 73073073 91424758 97430764 101101101 134801468 137137137 146146146 182849516 202202202 274274274 292292292 404404404 548548548 2460126791 3337003667 4616950279 4920253582 6674007334 7380380373 9233900558 9840507164 10011011001 13348014668 13850850837 14760760746 18467801116 20022022002 27701701674 29521521492 40044044004 55403403348 337037370367 674074740734 1011112111101 1348149481468 2022224222202 4044448444404