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412332014444 = 2273114919316519
BaseRepresentation
bin1100000000000001110…
…01110011101101101100
31110102022010102121112112
412000000321303231230
523223423443430234
6513231150023152
741534654202620
oct6000071635554
91412263377475
10412332014444
11149961744379
1267ab51a7ab8
132cb624cc7cc
1415d57d29180
15aad439dace
hex6000e73b6c

412332014444 has 96 divisors (see below), whose sum is σ = 861471744000. Its totient is φ = 168975175680.

The previous prime is 412332014429. The next prime is 412332014461. The reversal of 412332014444 is 444410233214.

It is a super-3 number, since 3×4123320144443 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 412332014444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24952817 + ... + 24969335.

It is an arithmetic number, because the mean of its divisors is an integer number (8973664000).

Almost surely, 2412332014444 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 412332014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430735872000).

412332014444 is an abundant number, since it is smaller than the sum of its proper divisors (449139729556).

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

412332014444 is a wasteful number, since it uses less digits than its factorization.

412332014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16903 (or 16901 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 412332014444 its reverse (444410233214), we get a palindrome (856742247658).

The spelling of 412332014444 in words is "four hundred twelve billion, three hundred thirty-two million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 149 193 217 298 386 434 596 772 868 1043 1351 2086 2702 4172 4619 5404 5983 9238 11966 16519 18476 23932 28757 32333 33038 41881 57514 64666 66076 83762 115028 115633 129332 167524 201299 231266 402598 462532 512089 805196 891467 1024178 1782934 2048356 2461331 3188167 3565868 3584623 4922662 6240269 6376334 7169246 9845324 12480538 12752668 14338492 17229317 22317169 24961076 34458634 44634338 68917268 76301261 89268676 98833177 152602522 197666354 305205044 395332708 475036883 534108827 691832239 950073766 1068217654 1383664478 1900147532 2136435308 2767328956 3325258181 6650516362 13301032724 14726143373 29452286746 58904573492 103083003611 206166007222 412332014444