Search a number
-
+
19018423440 = 2432559447703
BaseRepresentation
bin10001101101100101…
…100001110010010000
31211002102112000100100
4101231211201302100
5302422204022230
612423102452400
71242202634442
oct215545416220
954072460310
1019018423440
11807a44a025
123829294100
131a4121b3c3
14cc5bb2492
157649c8660
hex46d961c90

19018423440 has 120 divisors (see below), whose sum is σ = 64952896320. Its totient is φ = 4985609472.

The previous prime is 19018423397. The next prime is 19018423511. The reversal of 19018423440 is 4432481091.

It is a happy number.

19018423440 is a `hidden beast` number, since 19 + 0 + 184 + 23 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19018423395 and 19018423404.

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, 181372 + ... + 266331.

It is an arithmetic number, because the mean of its divisors is an integer number (541274136).

Almost surely, 219018423440 is an apocalyptic number.

19018423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19018423440 is an abundant number, since it is smaller than the sum of its proper divisors (45934472880).

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

19018423440 is a wasteful number, since it uses less digits than its factorization.

19018423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447781 (or 447772 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 19018423440 in words is "nineteen billion, eighteen million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 447703 895406 1343109 1790812 2238515 2686218 3581624 4029327 4477030 5372436 6715545 7163248 8058654 8954060 10744872 13431090 16117308 17908120 20146635 21489744 26414477 26862180 32234616 35816240 40293270 52828954 53724360 64469232 79243431 80586540 105657908 107448720 132072385 158486862 161173080 211315816 237730293 264144770 316973724 322346160 396217155 422631632 475460586 528289540 633947448 792434310 950921172 1056579080 1188651465 1267894896 1584868620 1901842344 2113158160 2377302930 3169737240 3803684688 4754605860 6339474480 9509211720 19018423440