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14044240579000 = 2353463238912697
BaseRepresentation
bin1100110001011110110111…
…1110001000100110111000
31211201121122021101020001111
43030113231332020212320
53320100101042012000
645511500212130104
72646443242151332
oct314275576104670
954647567336044
1014044240579000
114525146746475
1216a9a4b906934
137ab49b71c448
14367a5dcd6452
151954c9d2ccba
hexcc5edf889b8

14044240579000 has 128 divisors (see below), whose sum is σ = 32950883347200. Its totient is φ = 5602775270400.

The previous prime is 14044240578959. The next prime is 14044240579003. The reversal of 14044240579000 is 97504244041.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044240579003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106100652 + ... + 1106113348.

It is an arithmetic number, because the mean of its divisors is an integer number (257428776150).

Almost surely, 214044240579000 is an apocalyptic number.

14044240579000 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 14044240579000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475441673600).

14044240579000 is an abundant number, since it is smaller than the sum of its proper divisors (18906642768200).

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

14044240579000 is a wasteful number, since it uses less digits than its factorization.

14044240579000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 15556 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 14044240579000 in words is "fourteen trillion, forty-four billion, two hundred forty million, five hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 463 500 926 1000 1852 2315 2389 3704 4630 4778 9260 9556 11575 11945 12697 18520 19112 23150 23890 25394 46300 47780 50788 57875 59725 63485 92600 95560 101576 115750 119450 126970 231500 238900 253940 298625 317425 463000 477800 507880 597250 634850 1106107 1194500 1269700 1587125 2212214 2389000 2539400 3174250 4424428 5530535 5878711 6348500 8848856 11061070 11757422 12697000 22122140 23514844 27652675 29393555 30333133 44244280 47029688 55305350 58787110 60666266 110610700 117574220 121332532 138263375 146967775 151665665 221221400 235148440 242665064 276526750 293935550 303331330 553053500 587871100 606662660 734838875 758328325 1106107000 1175742200 1213325320 1469677750 1516656650 2939355500 3033313300 3791641625 5878711000 6066626600 7583283250 14044240579 15166566500 28088481158 30333133000 56176962316 70221202895 112353924632 140442405790 280884811580 351106014475 561769623160 702212028950 1404424057900 1755530072375 2808848115800 3511060144750 7022120289500 14044240579000