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144389758080 = 2735137548927
BaseRepresentation
bin1000011001111001001…
…1001101110010000000
3111210200202210200202210
42012132103031302000
54331202234224310
6150155353342120
713301053456551
oct2063623156200
9453622720683
10144389758080
1156265288387
1223b97a07940
131080117a299
146dba63c328
153b512d5820
hex219e4cdc80

144389758080 has 128 divisors (see below), whose sum is σ = 463602631680. Its totient is φ = 38222815232.

The previous prime is 144389757991. The next prime is 144389758091. The reversal of 144389758080 is 80857983441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 144389758080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11424 + ... + 537503.

It is an arithmetic number, because the mean of its divisors is an integer number (3621895560).

Almost surely, 2144389758080 is an apocalyptic number.

144389758080 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 144389758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231801315840).

144389758080 is an abundant number, since it is smaller than the sum of its proper divisors (319212873600).

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

144389758080 is a wasteful number, since it uses less digits than its factorization.

144389758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549086 (or 549074 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 144389758080 in words is "one hundred forty-four billion, three hundred eighty-nine million, seven hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 137 160 192 240 274 320 384 411 480 548 640 685 822 960 1096 1370 1644 1920 2055 2192 2740 3288 4110 4384 5480 6576 8220 8768 10960 13152 16440 17536 21920 26304 32880 43840 52608 65760 87680 131520 263040 548927 1097854 1646781 2195708 2744635 3293562 4391416 5489270 6587124 8233905 8782832 10978540 13174248 16467810 17565664 21957080 26348496 32935620 35131328 43914160 52696992 65871240 70262656 75202999 87828320 105393984 131742480 150405998 175656640 210787968 225608997 263484960 300811996 351313280 376014995 451217994 526969920 601623992 752029990 902435988 1053939840 1128044985 1203247984 1504059980 1804871976 2256089970 2406495968 3008119960 3609743952 4512179940 4812991936 6016239920 7219487904 9024359880 9625983872 12032479840 14438975808 18048719760 24064959680 28877951616 36097439520 48129919360 72194879040 144389758080