Search a number
-
+
444106990530 = 232572100704533
BaseRepresentation
bin1100111011001101101…
…01101110001111000010
31120110022120122122100200
412131212311232033002
524234012342144110
6540004150030030
744041246064100
oct6354665561702
91513276578320
10444106990530
11161387900195
12720a2648316
1332b575328c8
14176cddb4c70
15b843c3b6c0
hex6766d6e3c2

444106990530 has 72 divisors (see below), whose sum is σ = 1343197074492. Its totient is φ = 101510168256.

The previous prime is 444106990511. The next prime is 444106990559. The reversal of 444106990530 is 35099601444.

444106990530 is a `hidden beast` number, since 4 + 4 + 4 + 106 + 9 + 9 + 0 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441955051209 + 2151939321 = 664797^2 + 46389^2 .

It is a super-2 number, since 2×4441069905302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50347857 + ... + 50356676.

Almost surely, 2444106990530 is an apocalyptic number.

444106990530 is an abundant number, since it is smaller than the sum of its proper divisors (899090083962).

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

444106990530 is a wasteful number, since it uses less digits than its factorization.

444106990530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100704560 (or 100704550 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 444106990530 in words is "four hundred forty-four billion, one hundred six million, nine hundred ninety thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 100704533 201409066 302113599 503522665 604227198 704931731 906340797 1007045330 1409863462 1510567995 1812681594 2114795193 3021135990 3524658655 4229590386 4531703985 4934522117 6344385579 7049317310 9063407970 9869044234 10573975965 12688771158 14803566351 21147951930 24672610585 29607132702 31721927895 44410699053 49345221170 63443855790 74017831755 88821398106 148035663510 222053495265 444106990530