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4404434323050 = 2335231105243353
BaseRepresentation
bin100000000010111110010…
…1111100100011001101010
3120121001121121020000121000
41000011330233210121222
51034130240141314200
613211211425055430
7633131663014506
oct100057457443152
916531547200530
104404434323050
111448a01396563
125b1738187576
1325c44b026668
141132663d3306
1579881d1c300
hex4017cbe466a

4404434323050 has 96 divisors (see below), whose sum is σ = 12528168860160. Its totient is φ = 1136628201600.

The previous prime is 4404434323027. The next prime is 4404434323057. The reversal of 4404434323050 is 503234344044.

4404434323050 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 4 + 343 + 2 + 305 + 0 = 666.

It is a super-2 number, since 2×44044343230502 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4404434322996 and 4404434323014.

It is not an unprimeable number, because it can be changed into a prime (4404434323057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52579827 + ... + 52663526.

It is an arithmetic number, because the mean of its divisors is an integer number (130501758960).

Almost surely, 24404434323050 is an apocalyptic number.

4404434323050 is an abundant number, since it is smaller than the sum of its proper divisors (8123734537110).

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

4404434323050 is a wasteful number, since it uses less digits than its factorization.

4404434323050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105243405 (or 105243394 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 36.

Adding to 4404434323050 its reverse (503234344044), we get a palindrome (4907668667094).

The spelling of 4404434323050 in words is "four trillion, four hundred four billion, four hundred thirty-four million, three hundred twenty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 90 93 135 150 155 186 225 270 279 310 450 465 558 675 775 837 930 1350 1395 1550 1674 2325 2790 4185 4650 6975 8370 13950 20925 41850 105243353 210486706 315730059 526216765 631460118 947190177 1052433530 1578650295 1894380354 2631083825 2841570531 3157300590 3262543943 4735950885 5262167650 5683141062 6525087886 7893251475 9471901770 9787631829 14207852655 15786502950 16312719715 19575263658 23679754425 28415705310 29362895487 32625439430 47359508850 48938159145 58725790974 71039263275 81563598575 88088686461 97876318290 142078526550 146814477435 163127197150 176177372922 244690795725 293628954870 440443432305 489381591450 734072387175 880886864610 1468144774350 2202217161525 4404434323050