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4440014144100 = 2233521644449683
BaseRepresentation
bin100000010011100010101…
…1101110100001001100100
3120201110110012221012111000
41000213011131310021210
51040221122110102400
613235414144113300
7635531455344303
oct100470535641144
916643405835430
104440014144100
111461aaa262747
125b8607905830
132628cb3cc202
14114c7d91243a
157a765731600
hex409c5774264

4440014144100 has 72 divisors (see below), whose sum is σ = 14273823257120. Its totient is φ = 1184003771040.

The previous prime is 4440014144057. The next prime is 4440014144113. The reversal of 4440014144100 is 14414100444.

4440014144100 is a `hidden beast` number, since 4 + 4 + 400 + 14 + 144 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822222142 + ... + 822227541.

Almost surely, 24440014144100 is an apocalyptic number.

It is an amenable number.

4440014144100 is an abundant number, since it is smaller than the sum of its proper divisors (9833809113020).

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

4440014144100 is a wasteful number, since it uses less digits than its factorization.

4440014144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644449706 (or 1644449693 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 4440014144100 its reverse (14414100444), we get a palindrome (4454428244544).

The spelling of 4440014144100 in words is "four trillion, four hundred forty billion, fourteen million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 1644449683 3288899366 4933349049 6577798732 8222248415 9866698098 14800047147 16444496830 19733396196 24666745245 29600094294 32888993660 41111242075 44400141441 49333490490 59200188588 74000235735 82222484150 88800282882 98666980980 123333726225 148000471470 164444968300 177600565764 222000707205 246667452450 296000942940 370001178675 444001414410 493334904900 740002357350 888002828820 1110003536025 1480004714700 2220007072050 4440014144100