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144003603435216 = 243710723561170003
BaseRepresentation
bin100000101111100001110011…
…101000010000111011010000
3200212212121110201102201100220
4200233201303220100323100
5122333323334434411331
61230134201523113040
742221626352012220
oct4057416350207320
9625777421381326
10144003603435216
114197a648a78048
1214198a43512780
136247634c1ca05
14277bb51032080
15119ace69d6296
hex82f873a10ed0

144003603435216 has 160 divisors (see below), whose sum is σ = 429147630793728. Its totient is φ = 40757394693120.

The previous prime is 144003603435191. The next prime is 144003603435283. The reversal of 144003603435216 is 612534306300441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846980071 + ... + 847150073.

Almost surely, 2144003603435216 is an apocalyptic number.

144003603435216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144003603435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214573815396864).

144003603435216 is an abundant number, since it is smaller than the sum of its proper divisors (285144027358512).

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

144003603435216 is a wasteful number, since it uses less digits than its factorization.

144003603435216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193689 (or 193683 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

Adding to 144003603435216 its reverse (612534306300441), we get a palindrome (756537909735657).

The spelling of 144003603435216 in words is "one hundred forty-four trillion, three billion, six hundred three million, four hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 23561 35952 47122 70683 94244 141366 164927 170003 188488 282732 329854 340006 376976 494781 510009 565464 659708 680012 989562 1020018 1130928 1190021 1319416 1360024 1979124 2040036 2380042 2521027 2638832 2720048 3570063 3958248 4080072 4760084 5042054 7140126 7563081 7916496 8160144 9520168 10084108 14280252 15126162 17647189 18190321 19040336 20168216 28560504 30252324 35294378 36380642 40336432 52941567 54570963 57121008 60504648 70588756 72761284 105883134 109141926 121009296 127332247 141177512 145522568 211766268 218283852 254664494 282355024 291045136 381996741 423532536 436567704 509328988 763993482 847065072 873135408 1018657976 1527986964 2037315952 3055973928 4005440683 6111947856 8010881366 12016322049 16021762732 24032644098 28038084781 32043525464 48065288196 56076169562 64087050928 84114254343 96130576392 112152339124 168228508686 192261152784 224304678248 336457017372 428582153081 448609356496 672914034744 857164306162 1285746459243 1345828069488 1714328612324 2571492918486 3000075071567 3428657224648 5142985836972 6000150143134 6857314449296 9000225214701 10285971673944 12000300286268 18000450429402 20571943347888 24000600572536 36000900858804 48001201145072 72001801717608 144003603435216