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243740075007 = 311131726413067
BaseRepresentation
bin1110001100000000001…
…0100110001111111111
3212022010122221201101110
43203000002212033333
512443134424400012
6303550031413103
723416051311402
oct3430002461777
9768118851343
10243740075007
1194407a10a20
123b2a4084193
1319ca51b7070
14bb232a1d39
15651848b73c
hex38c00a63ff

243740075007 has 96 divisors (see below), whose sum is σ = 406347911424. Its totient is φ = 128095027200.

The previous prime is 243740074987. The next prime is 243740075023. The reversal of 243740075007 is 700570047342.

243740075007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243740075007 - 220 = 243739026431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243740075027) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 79470288 + ... + 79473354.

It is an arithmetic number, because the mean of its divisors is an integer number (4232790744).

Almost surely, 2243740075007 is an apocalyptic number.

243740075007 is a deficient number, since it is larger than the sum of its proper divisors (162607836417).

243740075007 is a wasteful number, since it uses less digits than its factorization.

243740075007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 39.

The spelling of 243740075007 in words is "two hundred forty-three billion, seven hundred forty million, seventy-five thousand, seven".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 289 429 561 641 663 867 1923 2431 3067 3179 3757 7051 7293 8333 9201 9537 10897 11271 21153 24999 32691 33737 39871 41327 52139 91663 101211 119613 119867 123981 141661 156417 185249 274989 359601 424983 438581 555747 573529 677807 886363 1315743 1558271 1720587 1965947 2033421 2037739 2408237 2659089 4674813 5897841 6113217 7224711 7455877 9749993 11522719 21625417 22367631 25557311 26490607 29249979 33421099 34568157 64876251 76671933 79471821 100263297 126749909 281130421 367632089 380249727 434474287 568158683 843391263 1102896267 1303422861 1704476049 4779217157 6249745513 7386062879 14337651471 18749236539 22158188637 81246691669 243740075007