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144223526810412 = 223272971987274147
BaseRepresentation
bin100000110010101110101000…
…000101010111001100101100
3200220122122010120001201122100
4200302232220011113030230
5122400424240330413122
61230423212404215100
742243543304605210
oct4062565005271454
9626578116051570
10144223526810412
1141a54943a91985
121421359b39a490
1362622b2a9879a
142788655170940
1511a18b90dcaac
hex832ba815732c

144223526810412 has 144 divisors (see below), whose sum is σ = 431020398332160. Its totient is φ = 39785102695296.

The previous prime is 144223526810411. The next prime is 144223526810413. The reversal of 144223526810412 is 214018625322441.

144223526810412 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 2 + 3 + 526 + 8 + 104 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (144223526810411) and next prime (144223526810413).

It is not an unprimeable number, because it can be changed into a prime (144223526810411) 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, 525943923 + ... + 526218069.

It is an arithmetic number, because the mean of its divisors is an integer number (2993197210640).

Almost surely, 2144223526810412 is an apocalyptic number.

144223526810412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144223526810412 is an abundant number, since it is smaller than the sum of its proper divisors (286796871521748).

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

144223526810412 is a wasteful number, since it uses less digits than its factorization.

144223526810412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346180 (or 346175 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 144223526810412 in words is "one hundred forty-four trillion, two hundred twenty-three billion, five hundred twenty-six million, eight hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 71987 143974 215961 274147 287948 431922 503909 548294 647883 822441 863844 1007818 1096588 1295766 1511727 1644882 1919029 2015636 2087623 2467323 2591532 3023454 3289764 3838058 4175246 4535181 4934646 5757087 6046908 6262869 7676116 7950263 8350492 9070362 9869292 11514174 12525738 14613361 15900526 17271261 18140724 18788607 23028348 23850789 25051476 29226722 31801052 34542522 37577214 43840083 47701578 55651841 58453444 69085044 71552367 75154428 87680166 95403156 111303682 131520249 143104734 166955523 175360332 222607364 263040498 286209468 333911046 500866569 526080996 667822092 1001733138 2003466276 19735020089 39470040178 59205060267 78940080356 118410120534 138145140623 177615180801 236820241068 276290281246 355230361602 414435421869 552580562492 572315582581 710460723204 828870843738 1144631165162 1243306265607 1657741687476 1716946747743 2289262330324 2486612531214 3433893495486 4006209078067 4973225062428 5150840243229 6867786990972 8012418156134 10301680486458 12018627234201 16024836312268 20603360972916 24037254468402 36055881702603 48074508936804 72111763405206 144223526810412