Search a number
-
+
19312295127444 = 223211487276736191
BaseRepresentation
bin1000110010000011111100…
…11111011010100110010100
32112101020102001102022000100
410121001332133122212110
510012403040023034234
6105023540152014100
74032160451035644
oct431017637324624
975336361368010
1019312295127444
1161763311466a0
1221baa28691330
13aa11ac191647
144aaa11c3a524
152375553e9399
hex11907e7da994

19312295127444 has 144 divisors (see below), whose sum is σ = 53385231384576. Its totient is φ = 5837921812800.

The previous prime is 19312295127329. The next prime is 19312295127451. The reversal of 19312295127444 is 44472159221391.

19312295127444 is a `hidden beast` number, since 1 + 9 + 3 + 12 + 2 + 9 + 512 + 74 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533603389 + ... + 533639579.

It is an arithmetic number, because the mean of its divisors is an integer number (370730773504).

Almost surely, 219312295127444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19312295127444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26692615692288).

19312295127444 is an abundant number, since it is smaller than the sum of its proper divisors (34072936257132).

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

19312295127444 is a wasteful number, since it uses less digits than its factorization.

19312295127444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39466 (or 39461 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 19312295127444 in words is "nineteen trillion, three hundred twelve billion, two hundred ninety-five million, one hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 487 974 1461 1948 2767 2922 4383 5357 5534 5844 8301 8766 10714 11068 16071 16602 17532 21428 24903 30437 32142 33204 36191 48213 49806 60874 64284 72382 91311 96426 99612 108573 121748 144764 182622 192852 217146 273933 325719 365244 398101 434292 547866 651438 796202 1095732 1194303 1302876 1347529 1592404 2388606 2695058 3582909 4042587 4777212 5390116 7165818 8085174 12127761 14331636 14822819 16170348 17625017 24255522 29645638 35250034 44468457 48511044 52875051 59291276 70500068 88936914 100140497 105750102 133405371 158625153 177873828 193875187 200280994 211500204 266810742 300421491 317250306 387750374 400561988 533621484 581625561 600842982 634500612 775500748 901264473 1101545467 1163251122 1201685964 1744876683 1802528946 2203090934 2326502244 3304636401 3489753366 3605057892 4406181868 6609272802 6979506732 9913909203 13218545604 19827818406 39655636812 48768422039 97536844078 146305266117 195073688156 292610532234 438915798351 536452642429 585221064468 877831596702 1072905284858 1609357927287 1755663193404 2145810569716 3218715854574 4828073781861 6437431709148 9656147563722 19312295127444