Search a number
-
+
243400121400 = 233521723862757
BaseRepresentation
bin1110001010101111000…
…1110001110000111000
3212021020222021021201010
43202223301301300320
512441440412341100
6303452205153520
723404452616122
oct3425361616070
9767228237633
10243400121400
1194253028827
123b20a25b8a0
1319c4c93a897
14bad008c212
1564e86d9750
hex38abc71c38

243400121400 has 96 divisors (see below), whose sum is σ = 798925137840. Its totient is φ = 61088655360.

The previous prime is 243400121399. The next prime is 243400121453. The reversal of 243400121400 is 4121004342.

243400121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11921179 + ... + 11941578.

Almost surely, 2243400121400 is an apocalyptic number.

243400121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243400121400 is an abundant number, since it is smaller than the sum of its proper divisors (555525016440).

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

243400121400 is a wasteful number, since it uses less digits than its factorization.

243400121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23862793 (or 23862784 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 243400121400 its reverse (4121004342), we get a palindrome (247521125742).

The spelling of 243400121400 in words is "two hundred forty-three billion, four hundred million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 23862757 47725514 71588271 95451028 119313785 143176542 190902056 238627570 286353084 357941355 405666869 477255140 572706168 596568925 715882710 811333738 954510280 1193137850 1217000607 1431765420 1622667476 1789706775 2028334345 2386275700 2434001214 2863530840 3245334952 3579413550 4056668690 4772551400 4868002428 6085003035 7158827100 8113337380 9736004856 10141671725 12170006070 14317654200 16226674760 20283343450 24340012140 30425015175 40566686900 48680024280 60850030350 81133373800 121700060700 243400121400