Search a number
-
+
431430504544123 = 71947367718770149
BaseRepresentation
bin110001000011000100011110…
…1111101111111011101111011
32002120120100112122122001220021
41202012020331331333131323
5423022024133130402443
64125324234311111311
7156605553043331560
oct14206107575773573
92076510478561807
10431430504544123
11115515716499487
124047a157072537
1315696950342476
1478774c2664867
1534d276e1059ed
hex188623df7f77b

431430504544123 has 32 divisors (see below), whose sum is σ = 530201177856000. Its totient is φ = 342787350190464.

The previous prime is 431430504544093. The next prime is 431430504544181. The reversal of 431430504544123 is 321445405034134.

It is a cyclic number.

It is not a de Polignac number, because 431430504544123 - 213 = 431430504535931 is a prime.

It is a super-2 number, since 2×4314305045441232 (a number of 30 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 431430504544123.

It is not an unprimeable number, because it can be changed into a prime (431430534544123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13599853 + ... + 32370001.

It is an arithmetic number, because the mean of its divisors is an integer number (16568786808000).

Almost surely, 2431430504544123 is an apocalyptic number.

431430504544123 is a deficient number, since it is larger than the sum of its proper divisors (98770673311877).

431430504544123 is a wasteful number, since it uses less digits than its factorization.

431430504544123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18773899.

The product of its (nonzero) digits is 1382400, while the sum is 43.

Adding to 431430504544123 its reverse (321445405034134), we get a palindrome (752875909578257).

The spelling of 431430504544123 in words is "four hundred thirty-one trillion, four hundred thirty billion, five hundred four million, five hundred forty-four thousand, one hundred twenty-three".

Divisors: 1 7 19 47 133 329 893 3677 6251 25739 69863 172819 489041 1209733 3283561 18770149 22984927 131391043 356632831 882197003 2496429817 6175379021 16761743057 69017837873 117332201399 483124865111 1311338919587 3243838380031 9179372437109 22706868660217 61632929220589 431430504544123