Search a number
-
+
444535423063650 = 2325229103932785387
BaseRepresentation
bin110010100010011010111011…
…1111110110101011001100010
32011021222011121221211121210100
41211010311313332311121202
5431231232021301014100
64213240430515443230
7162430424121655662
oct14504656776653142
92137864557747710
10444535423063650
11119708461339846
1241a35b398b6516
131610768380a9a9
147bab8b4a3c1a2
15365d5be6d6400
hex1944d77fb5662

444535423063650 has 144 divisors (see below), whose sum is σ = 1236691063670400. Its totient is φ = 114344935044480.

The previous prime is 444535423063609. The next prime is 444535423063651. The reversal of 444535423063650 is 56360324535444.

444535423063650 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 3 + 542 + 30 + 6 + 3 + 65 + 0 = 666.

It is a super-2 number, since 2×4445354230636502 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444535423063651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2833744 + ... + 29951643.

It is an arithmetic number, because the mean of its divisors is an integer number (8588132386600).

Almost surely, 2444535423063650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444535423063650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618345531835200).

444535423063650 is an abundant number, since it is smaller than the sum of its proper divisors (792155640606750).

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

444535423063650 is a wasteful number, since it uses less digits than its factorization.

444535423063650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32786473 (or 32786465 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 54.

The spelling of 444535423063650 in words is "four hundred forty-four trillion, five hundred thirty-five billion, four hundred twenty-three million, sixty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1039 1305 1450 2078 2175 2610 3117 4350 5195 6234 6525 9351 10390 13050 15585 18702 25975 30131 31170 46755 51950 60262 77925 90393 93510 150655 155850 180786 233775 271179 301310 451965 467550 542358 753275 903930 1355895 1506550 2259825 2711790 4519650 6779475 13558950 32785387 65570774 98356161 163926935 196712322 295068483 327853870 491780805 590136966 819634675 950776223 983561610 1475342415 1639269350 1901552446 2458904025 2852328669 2950684830 4753881115 4917808050 5704657338 7376712075 8556986007 9507762230 14261643345 14753424150 17113972014 23769405575 28523286690 34064017093 42784930035 47538811150 68128034186 71308216725 85569860070 102192051279 142616433450 170320085465 204384102558 213924650175 306576153837 340640170930 427849300350 510960256395 613152307674 851600427325 987856495697 1021920512790 1532880769185 1703200854650 1975712991394 2554801281975 2963569487091 3065761538370 4939282478485 5109602563950 5927138974182 7664403845925 8890708461273 9878564956970 14817847435455 15328807691850 17781416922546 24696412392425 29635694870910 44453542306365 49392824784850 74089237177275 88907084612730 148178474354550 222267711531825 444535423063650