Search a number
-
+
104432414024240 = 2455120325494701
BaseRepresentation
bin10111101111101100010000…
…111100001110001000110000
3111200202122022111021122021222
4113233230100330032020300
5102142010040442233430
61010035331054004212
730665664400541651
oct2757542074161060
9450678274248258
10104432414024240
11303035a1195325
12b8678501a6668
134636c1bb00bc3
141bb07ad1cd528
15c117d7b939e5
hex5efb10f0e230

104432414024240 has 40 divisors (see below), whose sum is σ = 242810114144688. Its totient is φ = 41772148140800.

The previous prime is 104432414024221. The next prime is 104432414024243. The reversal of 104432414024240 is 42420414234401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1044324140242402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104432414024240.

It is not an unprimeable number, because it can be changed into a prime (104432414024243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8651111 + ... + 16843590.

Almost surely, 2104432414024240 is an apocalyptic number.

104432414024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104432414024240 is an abundant number, since it is smaller than the sum of its proper divisors (138377700120448).

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

104432414024240 is a wasteful number, since it uses less digits than its factorization.

104432414024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25545917 (or 25545911 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 104432414024240 its reverse (42420414234401), we get a palindrome (146852828258641).

The spelling of 104432414024240 in words is "one hundred four trillion, four hundred thirty-two billion, four hundred fourteen million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 51203 102406 204812 256015 409624 512030 819248 1024060 2048120 4096240 25494701 50989402 101978804 127473505 203957608 254947010 407915216 509894020 1019788040 2039576080 1305405175303 2610810350606 5221620701212 6527025876515 10443241402424 13054051753030 20886482804848 26108103506060 52216207012120 104432414024240