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404230320230144 = 2847926627123803
BaseRepresentation
bin101101111101001010011010…
…0101001010000111100000000
31222000021001010001002210010012
41123322110310221100330000
5410440402143434331034
63551420502342524052
7151100451111406052
oct13372246451207400
91860231101083105
10404230320230144
11107889130564101
1239406664436628
13144729a918c625
1471b6bcd8318d2
1531aee5933ecce
hex16fa534a50f00

404230320230144 has 72 divisors (see below), whose sum is σ = 808603026255360. Its totient is φ = 201684003949568.

The previous prime is 404230320230137. The next prime is 404230320230159. The reversal of 404230320230144 is 441032023032404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 404230320230144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265047347 + ... + 3265171149.

It is an arithmetic number, because the mean of its divisors is an integer number (11230597586880).

Almost surely, 2404230320230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404230320230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404301513127680).

404230320230144 is an abundant number, since it is smaller than the sum of its proper divisors (404372706025216).

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

404230320230144 is a wasteful number, since it uses less digits than its factorization.

404230320230144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150925 (or 150911 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 404230320230144 its reverse (441032023032404), we get a palindrome (845262343262548).

The spelling of 404230320230144 in words is "four hundred four trillion, two hundred thirty billion, three hundred twenty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 479 958 1916 3832 7664 15328 26627 30656 53254 61312 106508 122624 123803 213016 247606 426032 495212 852064 990424 1704128 1980848 3408256 3961696 6816512 7923392 12754333 15846784 25508666 31693568 51017332 59301637 102034664 118603274 204069328 237206548 408138656 474413096 816277312 948826192 1632554624 1897652384 3265109248 3296502481 3795304768 6593004962 7590609536 13186009924 15181219072 26372019848 52744039696 105488079392 210976158784 421952317568 843904635136 1579024688399 3158049376798 6316098753596 12632197507192 25264395014384 50528790028768 101057580057536 202115160115072 404230320230144