Search a number
-
+
10004413243200 = 263522084252759
BaseRepresentation
bin1001000110010101010101…
…1111110101111101000000
31022102102010202112020101020
42101211111133311331000
52302403014242240300
633135544120105440
72051536454320455
oct221452537657500
938372122466336
1010004413243200
113207936508a52
121156b09905280
1357754857732c
142683052d382c
151253875e58a0
hex919557f5f40

10004413243200 has 84 divisors (see below), whose sum is σ = 32822812464480. Its totient is φ = 2667843530240.

The previous prime is 10004413243199. The next prime is 10004413243241. The reversal of 10004413243200 is 234231440001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 1042121580 + ... + 1042131179.

Almost surely, 210004413243200 is an apocalyptic number.

10004413243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004413243200 is an abundant number, since it is smaller than the sum of its proper divisors (22818399221280).

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

10004413243200 is a wasteful number, since it uses less digits than its factorization.

10004413243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084252784 (or 2084252769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10004413243200 its reverse (234231440001), we get a palindrome (10238644683201).

The spelling of 10004413243200 in words is "ten trillion, four billion, four hundred thirteen million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2084252759 4168505518 6252758277 8337011036 10421263795 12505516554 16674022072 20842527590 25011033108 31263791385 33348044144 41685055180 50022066216 52106318975 62527582770 66696088288 83370110360 100044132432 104212637950 125055165540 133392176576 156318956925 166740220720 200088264864 208425275900 250110331080 312637913850 333480441440 400176529728 416850551800 500220662160 625275827700 666960882880 833701103600 1000441324320 1250551655400 1667402207200 2000882648640 2501103310800 3334804414400 5002206621600 10004413243200