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1940488680420 = 22325194211134741
BaseRepresentation
bin11100001111001110001…
…000110111001111100100
320212111201222210120201200
4130033032020313033210
5223243110100233140
64043240450522500
7260124055430433
oct34171610671744
96774658716650
101940488680420
11688a582a9644
122740b5896430
13110cab127bc4
1469cc4c8711a
1535723609030
hex1c3ce2373e4

1940488680420 has 144 divisors (see below), whose sum is σ = 6197463679680. Its totient is φ = 490108665600.

The previous prime is 1940488680397. The next prime is 1940488680469. The reversal of 1940488680420 is 240868840491.

It is a happy number.

1940488680420 is a `hidden beast` number, since 1 + 9 + 40 + 488 + 6 + 80 + 42 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14334250 + ... + 14468990.

It is an arithmetic number, because the mean of its divisors is an integer number (43037942220).

Almost surely, 21940488680420 is an apocalyptic number.

1940488680420 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 1940488680420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098731839840).

1940488680420 is an abundant number, since it is smaller than the sum of its proper divisors (4256974999260).

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

1940488680420 is a wasteful number, since it uses less digits than its factorization.

1940488680420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138986 (or 138981 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1940488680420 in words is "one trillion, nine hundred forty billion, four hundred eighty-eight million, six hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4211 8422 12633 16844 21055 25266 37899 42110 50532 63165 75798 80009 84220 126330 134741 151596 160018 189495 240027 252660 269482 320036 378990 400045 404223 480054 538964 673705 720081 757980 800090 808446 960108 1200135 1212669 1347410 1440162 1600180 1616892 2021115 2400270 2425338 2560079 2694820 2880324 3600405 4042230 4800540 4850676 5120158 6063345 7200810 7680237 8084460 10240316 12126690 12800395 14401620 15360474 23040711 24253380 25600790 30720948 38401185 46081422 51201580 76802370 92162844 115203555 153604740 230407110 460814220 567394351 1134788702 1702183053 2269577404 2836971755 3404366106 5106549159 5673943510 6808732212 8510915265 10213098318 10780492669 11347887020 17021830530 20426196636 21560985338 25532745795 32341478007 34043661060 43121970676 51065491590 53902463345 64682956014 97024434021 102130983180 107804926690 129365912028 161707390035 194048868042 215609853380 323414780070 388097736084 485122170105 646829560140 970244340210 1940488680420