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144866408200 = 235219132128859
BaseRepresentation
bin1000011011101010110…
…1011111011100001000
3111211220222201000210221
42012322231133130020
54333141300030300
6150314541515424
713315632103213
oct2067255373410
9454828630727
10144866408200
115648a3466a8
12240ab572b74
1310878b48287
147023a7677a
153b7d08a31a
hex21bab5f708

144866408200 has 96 divisors (see below), whose sum is σ = 354822156000. Its totient is φ = 54853286400.

The previous prime is 144866408147. The next prime is 144866408231. The reversal of 144866408200 is 2804668441.

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, 5005371 + ... + 5034229.

It is an arithmetic number, because the mean of its divisors is an integer number (3696064125).

Almost surely, 2144866408200 is an apocalyptic number.

144866408200 is a gapful number since it is divisible by the number (10) 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 144866408200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177411078000).

144866408200 is an abundant number, since it is smaller than the sum of its proper divisors (209955747800).

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

144866408200 is a wasteful number, since it uses less digits than its factorization.

144866408200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30215 (or 30206 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 144866408200 in words is "one hundred forty-four billion, eight hundred sixty-six million, four hundred eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1321 1900 2642 3800 5284 6605 10568 13210 25099 26420 28859 33025 50198 52840 57718 66050 100396 115436 125495 132100 144295 200792 230872 250990 264200 288590 501980 548321 577180 627475 721475 1003960 1096642 1154360 1254950 1442950 2193284 2509900 2741605 2885900 4386568 5019800 5483210 5771800 10966420 13708025 21932840 27416050 38122739 54832100 76245478 109664200 152490956 190613695 304981912 381227390 724332041 762454780 953068475 1448664082 1524909560 1906136950 2897328164 3621660205 3812273900 5794656328 7243320410 7624547800 14486640820 18108301025 28973281640 36216602050 72433204100 144866408200