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444299130 = 232511312467
BaseRepresentation
bin11010011110110…
…111011101111010
31010222000201211100
4122132313131322
51402220033010
6112030512230
714003323512
oct3236673572
91128021740
10444299130
11208882570
12104965676
1371081bc2
1443016842
15290142c0
hex1a7b777a

444299130 has 144 divisors (see below), whose sum is σ = 1304944992. Its totient is φ = 104011200.

The previous prime is 444299123. The next prime is 444299143. The reversal of 444299130 is 31992444.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951157 + ... + 951623.

It is an arithmetic number, because the mean of its divisors is an integer number (9062118).

Almost surely, 2444299130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444299130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652472496).

444299130 is an abundant number, since it is smaller than the sum of its proper divisors (860645862).

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

444299130 is a wasteful number, since it uses less digits than its factorization.

444299130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 444299130 is about 21078.4043513735. The cubic root of 444299130 is about 763.0596475456.

The spelling of 444299130 in words is "four hundred forty-four million, two hundred ninety-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 467 495 558 682 930 934 961 990 1023 1395 1401 1705 1922 2046 2335 2790 2802 2883 3069 3410 4203 4670 4805 5115 5137 5766 6138 7005 8406 8649 9610 10230 10274 10571 14010 14415 14477 15345 15411 17298 21015 21142 25685 28830 28954 30690 30822 31713 42030 43245 43431 46233 51370 52855 63426 72385 77055 86490 86862 92466 95139 105710 130293 144770 154110 158565 159247 190278 217155 231165 260586 317130 318494 434310 448787 462330 475695 477741 651465 796235 897574 951390 955482 1302930 1346361 1433223 1592470 2243935 2388705 2692722 2866446 4039083 4487870 4777410 4936657 6731805 7166115 8078166 9873314 13463610 14332230 14809971 20195415 24683285 29619942 40390830 44429913 49366570 74049855 88859826 148099710 222149565 444299130