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444012102312 = 233107173999433
BaseRepresentation
bin1100111011000010010…
…11110000001010101000
31120110001222002211012020
412131201023300022220
524233314044233222
6535550520144440
744036014412052
oct6354113601250
91513058084166
10444012102312
11161339290279
1272076908120
1332b4098ba2c
14176c15548d2
15b83a74665c
hex67612f02a8

444012102312 has 64 divisors (see below), whose sum is σ = 1126881823680. Its totient is φ = 145773153792.

The previous prime is 444012102257. The next prime is 444012102343. The reversal of 444012102312 is 213201210444.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 55453 + ... + 943980.

It is an arithmetic number, because the mean of its divisors is an integer number (17607528495).

Almost surely, 2444012102312 is an apocalyptic number.

It is an amenable number.

444012102312 is an abundant number, since it is smaller than the sum of its proper divisors (682869721368).

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

444012102312 is a wasteful number, since it uses less digits than its factorization.

444012102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999722 (or 999718 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 444012102312 its reverse (213201210444), we get a palindrome (657213312756).

The spelling of 444012102312 in words is "four hundred forty-four billion, twelve million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 107 173 214 321 346 428 519 642 692 856 1038 1284 1384 2076 2568 4152 18511 37022 55533 74044 111066 148088 222132 444264 999433 1998866 2998299 3997732 5996598 7995464 11993196 23986392 106939331 172901909 213878662 320817993 345803818 427757324 518705727 641635986 691607636 855514648 1037411454 1283271972 1383215272 2074822908 2566543944 4149645816 18500504263 37001008526 55501512789 74002017052 111003025578 148004034104 222006051156 444012102312