Search a number
-
+
430100120255004 = 223246725582924117
BaseRepresentation
bin110000111001011000111110…
…0111000101011101000011100
32002101212011120212212210201200
41201302301330320223220130
5422333230021241130004
64122425133442435500
7156410464633422663
oct14162617470535034
92071764525783650
10430100120255004
11115052489219151
12402a4350062b90
13155cb362382734
14782cd579d9dda
1534acd57998239
hex1872c7ce2ba1c

430100120255004 has 36 divisors (see below), whose sum is σ = 1089525572337384. Its totient is φ = 143059711656672.

The previous prime is 430100120254913. The next prime is 430100120255023. The reversal of 430100120255004 is 400552021001034.

430100120255004 is a `hidden beast` number, since 4 + 3 + 0 + 10 + 0 + 120 + 25 + 500 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4301001202550042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12791445247 + ... + 12791478870.

It is an arithmetic number, because the mean of its divisors is an integer number (30264599231594).

Almost surely, 2430100120255004 is an apocalyptic number.

It is an amenable number.

430100120255004 is an abundant number, since it is smaller than the sum of its proper divisors (659425452082380).

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

430100120255004 is a wasteful number, since it uses less digits than its factorization.

430100120255004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25582924594 (or 25582924589 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 430100120255004 its reverse (400552021001034), we get a palindrome (830652141256038).

The spelling of 430100120255004 in words is "four hundred thirty trillion, one hundred billion, one hundred twenty million, two hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 467 934 1401 1868 2802 4203 5604 8406 16812 25582924117 51165848234 76748772351 102331696468 153497544702 230246317053 306995089404 460492634106 920985268212 11947225562639 23894451125278 35841676687917 47788902250556 71683353375834 107525030063751 143366706751668 215050060127502 430100120255004