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321434424441440 = 25515712795956387
BaseRepresentation
bin100100100010101111100100…
…0101011111111101001100000
31120011002211102201001201000022
41021011133020223333221200
5314112340200124111230
63055344534104213012
7124463604454214042
oct11105371053775140
91504084381051008
10321434424441440
1193467634901152
123007418a46a168
1310a481a01c769b
14595371b185a92
1527263a8ae41e5
hex12457c8affa60

321434424441440 has 48 divisors (see below), whose sum is σ = 764225699316912. Its totient is φ = 127754828557824.

The previous prime is 321434424441421. The next prime is 321434424441461. The reversal of 321434424441440 is 44144424434123.

It is a junction number, because it is equal to n+sod(n) for n = 321434424441391 and 321434424441400.

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, 6397953074 + ... + 6398003313.

It is an arithmetic number, because the mean of its divisors is an integer number (15921368735769).

Almost surely, 2321434424441440 is an apocalyptic number.

It is an amenable number.

321434424441440 is an abundant number, since it is smaller than the sum of its proper divisors (442791274875472).

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

321434424441440 is a wasteful number, since it uses less digits than its factorization.

321434424441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12795956559 (or 12795956551 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 44.

Adding to 321434424441440 its reverse (44144424434123), we get a palindrome (365578848875563).

The spelling of 321434424441440 in words is "three hundred twenty-one trillion, four hundred thirty-four billion, four hundred twenty-four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 12795956387 25591912774 51183825548 63979781935 102367651096 127959563870 204735302192 255919127740 409470604384 511838255480 1023676510960 2008965152759 2047353021920 4017930305518 8035860611036 10044825763795 16071721222072 20089651527590 32143442444144 40179303055180 64286884888288 80358606110360 160717212220720 321434424441440