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440231430030 = 2357101206310061
BaseRepresentation
bin1100110011111111101…
…01101000011110001110
31120002022111002202210220
412121333311220132032
524203043221230110
6534123423212210
743543226261640
oct6317765503616
91502274082726
10440231430030
1115a779190227
12713a0747066
133268a630a42
14174433b4890
15b6b8897370
hex667fd6878e

440231430030 has 128 divisors (see below), whose sum is σ = 1220159655936. Its totient is φ = 99569856000.

The previous prime is 440231430017. The next prime is 440231430097. The reversal of 440231430030 is 30034132044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43751200 + ... + 43761260.

It is an arithmetic number, because the mean of its divisors is an integer number (9532497312).

Almost surely, 2440231430030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440231430030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610079827968).

440231430030 is an abundant number, since it is smaller than the sum of its proper divisors (779928225906).

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

440231430030 is a wasteful number, since it uses less digits than its factorization.

440231430030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 440231430030 its reverse (30034132044), we get a palindrome (470265562074).

It can be divided in two parts, 4402314 and 30030, that added together give a palindrome (4432344).

The spelling of 440231430030 in words is "four hundred forty billion, two hundred thirty-one million, four hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 1010 1414 1515 2063 2121 3030 3535 4126 4242 6189 7070 10061 10315 10605 12378 14441 20122 20630 21210 28882 30183 30945 43323 50305 60366 61890 70427 72205 86646 100610 140854 144410 150915 208363 211281 216615 301830 352135 416726 422562 433230 625089 704270 1016161 1041815 1056405 1250178 1458541 2032322 2083630 2112810 2917082 3048483 3125445 4375623 5080805 6096966 6250890 7113127 7292705 8751246 10161610 14226254 14585410 15242415 20755843 21339381 21878115 30484830 35565635 41511686 42678762 43756230 62267529 71131270 103779215 106696905 124535058 145290901 207558430 213393810 290581802 311337645 435872703 622675290 726454505 871745406 1452909010 2096340143 2179363515 4192680286 4358727030 6289020429 10481700715 12578040858 14674381001 20963401430 29348762002 31445102145 44023143003 62890204290 73371905005 88046286006 146743810010 220115715015 440231430030