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411224132144 = 247171911367319
BaseRepresentation
bin1011111101111101101…
…11100100101000110000
31110022102220202100201202
411332332313210220300
523214141334212034
6512525212150332
741465342310230
oct5767667445060
91408386670652
10411224132144
11149443335a71
12678461683a8
132ca16b1c157
1415c90b37cc0
15aa6beac47e
hex5fbede4a30

411224132144 has 80 divisors (see below), whose sum is σ = 1014874329600. Its totient is φ = 157141804032.

The previous prime is 411224132129. The next prime is 411224132147. The reversal of 411224132144 is 441231422114.

It is not an unprimeable number, because it can be changed into a prime (411224132147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5647484 + ... + 5719835.

It is an arithmetic number, because the mean of its divisors is an integer number (12685929120).

Almost surely, 2411224132144 is an apocalyptic number.

It is an amenable number.

411224132144 is an abundant number, since it is smaller than the sum of its proper divisors (603650197456).

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

411224132144 is a wasteful number, since it uses less digits than its factorization.

411224132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11367370 (or 11367364 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

Adding to 411224132144 its reverse (441231422114), we get a palindrome (852455554258).

The spelling of 411224132144 in words is "four hundred eleven billion, two hundred twenty-four million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 2128 2261 2584 4522 5168 9044 18088 36176 11367319 22734638 45469276 79571233 90938552 159142466 181877104 193244423 215979061 318284932 386488846 431958122 636569864 772977692 863916244 1273139728 1352710961 1511853427 1545955384 1727832488 2705421922 3023706854 3091910768 3455664976 3671644037 5410843844 6047413708 7343288074 10821687688 12094827416 14686576148 21643375376 24189654832 25701508259 29373152296 51403016518 58746304592 102806033036 205612066072 411224132144