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44104212211230 = 232517130072216213
BaseRepresentation
bin10100000011100110011111…
…11001101110011000011110
312210011022200101021120000200
422001303033321232120132
521240100411311224410
6233445110111404330
712201265331165433
oct1201631771563036
9183138611246020
1044104212211230
1113064544aa9446
124b438375236a6
131b7c0177657c2
14ac692606db8a
155173b9b043c0
hex281ccfe6e61e

44104212211230 has 96 divisors (see below), whose sum is σ = 121425691330944. Its totient is φ = 11068436456448.

The previous prime is 44104212211219. The next prime is 44104212211277. The reversal of 44104212211230 is 3211221240144.

44104212211230 is a `hidden beast` number, since 4 + 4 + 1 + 0 + 4 + 212 + 211 + 230 = 666.

It is a super-2 number, since 2×441042122112302 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44104212211194 and 44104212211203.

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, 18792604 + ... + 21008816.

It is an arithmetic number, because the mean of its divisors is an integer number (1264850951364).

Almost surely, 244104212211230 is an apocalyptic number.

44104212211230 is an abundant number, since it is smaller than the sum of its proper divisors (77321479119714).

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

44104212211230 is a wasteful number, since it uses less digits than its factorization.

44104212211230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229250 (or 2229247 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 44104212211230 its reverse (3211221240144), we get a palindrome (47315433451374).

The spelling of 44104212211230 in words is "forty-four trillion, one hundred four billion, two hundred twelve million, two hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 13007 26014 39021 65035 78042 117063 130070 195105 221119 234126 390210 442238 585315 663357 1105595 1170630 1326714 1990071 2211190 2216213 3316785 3980142 4432426 6633570 6648639 9950355 11081065 13297278 19900710 19945917 22162130 33243195 37675621 39891834 66486390 75351242 99729585 113026863 188378105 199459170 226053726 339080589 376756210 565134315 678161178 1130268630 1695402945 3390805890 28826282491 57652564982 86478847473 144131412455 172957694946 259436542419 288262824910 432394237365 490046802347 518873084838 864788474730 980093604694 1297182712095 1470140407041 2450234011735 2594365424190 2940280814082 4410421221123 4900468023470 7350702035205 8820842442246 14701404070410 22052106105615 44104212211230