Search a number
-
+
444402303100 = 2252719243713711
BaseRepresentation
bin1100111011110000111…
…00010000000001111100
31120111002011100002001021
412131320130100001330
524240113442144400
6540053335353524
744051463151510
oct6357034200174
91514064302037
10444402303100
11161519572968
12721655228a4
1332ba377bc82
141771b2c8140
15b85eb2171a
hex677871007c

444402303100 has 144 divisors (see below), whose sum is σ = 1160684600320. Its totient is φ = 144277459200.

The previous prime is 444402303089. The next prime is 444402303131. The reversal of 444402303100 is 1303204444.

It is a super-2 number, since 2×4444023031002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32405245 + ... + 32418955.

Almost surely, 2444402303100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444402303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580342300160).

444402303100 is an abundant number, since it is smaller than the sum of its proper divisors (716282297220).

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

444402303100 is a wasteful number, since it uses less digits than its factorization.

444402303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16188 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 444402303100 its reverse (1303204444), we get a palindrome (445705507544).

The spelling of 444402303100 in words is "four hundred forty-four billion, four hundred two million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2437 2660 3325 4874 6650 9748 12185 13300 13711 17059 24370 27422 34118 46303 48740 54844 60925 68236 68555 85295 92606 95977 121850 137110 170590 185212 191954 231515 243700 260509 274220 324121 341180 342775 383908 426475 463030 479885 521018 648242 685550 852950 926060 959770 1042036 1157575 1296484 1302545 1371100 1620605 1705900 1823563 1919540 2315150 2399425 2605090 3241210 3647126 4630300 4798850 5210180 6482420 6512725 7294252 8103025 9117815 9597700 13025450 16206050 18235630 26050900 32412100 33413707 36471260 45589075 66827414 91178150 133654828 167068535 182356300 233895949 334137070 467791898 634860433 668274140 835342675 935583796 1169479745 1269720866 1670685350 2338959490 2539441732 3174302165 3341370700 4444023031 4677918980 5847398725 6348604330 8888046062 11694797450 12697208660 15871510825 17776092124 22220115155 23389594900 31743021650 44440230310 63486043300 88880460620 111100575775 222201151550 444402303100