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314743231000 = 235311103927539
BaseRepresentation
bin1001001010010000010…
…10001001001000011000
31010002101222220202120201
410211020022021020120
520124043231343000
6400331355431544
731511426215162
oct4451012111030
91102358822521
10314743231000
11111533391a30
1250bbaa555b4
13238ac405233
141133b207932
1582c1ba396a
hex4948289218

314743231000 has 128 divisors (see below), whose sum is σ = 804256128000. Its totient is φ = 114337776000.

The previous prime is 314743230979. The next prime is 314743231031. The reversal of 314743231000 is 132347413.

It is a super-4 number, since 4×3147432310004 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 314743231000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11415231 + ... + 11442769.

It is an arithmetic number, because the mean of its divisors is an integer number (6283251000).

Almost surely, 2314743231000 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 314743231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402128064000).

314743231000 is an abundant number, since it is smaller than the sum of its proper divisors (489512897000).

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

314743231000 is a wasteful number, since it uses less digits than its factorization.

314743231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28610 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

Adding to 314743231000 its reverse (132347413), we get a palindrome (314875578413).

The spelling of 314743231000 in words is "three hundred fourteen billion, seven hundred forty-three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1039 1100 1375 2078 2200 2750 4156 5195 5500 8312 10390 11000 11429 20780 22858 25975 27539 41560 45716 51950 55078 57145 91432 103900 110156 114290 129875 137695 207800 220312 228580 259750 275390 285725 302929 457160 519500 550780 571450 605858 688475 1039000 1101560 1142900 1211716 1376950 1428625 1514645 2285800 2423432 2753900 2857250 3029290 3442375 5507800 5714500 6058580 6884750 7573225 11429000 12117160 13769500 15146450 27539000 28613021 30292900 37866125 57226042 60585800 75732250 114452084 143065105 151464500 228904168 286130210 302929000 314743231 572260420 629486462 715325525 1144520840 1258972924 1430651050 1573716155 2517945848 2861302100 3147432310 3576627625 5722604200 6294864620 7153255250 7868580775 12589729240 14306510500 15737161550 28613021000 31474323100 39342903875 62948646200 78685807750 157371615500 314743231000