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314041403440 = 24536451107693
BaseRepresentation
bin1001001000111100101…
…00111000100000110000
31010000121002022020011101
410210132110320200300
520121124044402230
6400134005054144
731455144612532
oct4443624704060
91100532266141
10314041403440
11111203204556
1250a439b7354
13237c9ba605b
14112b1d15852
15828026eaca
hex491e538830

314041403440 has 40 divisors (see below), whose sum is σ = 730173073968. Its totient is φ = 125611948800.

The previous prime is 314041403407. The next prime is 314041403441. The reversal of 314041403440 is 44304140413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 314041403399 and 314041403408.

It is not an unprimeable number, because it can be changed into a prime (314041403441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2862234 + ... + 2969926.

Almost surely, 2314041403440 is an apocalyptic number.

It is an amenable number.

314041403440 is an abundant number, since it is smaller than the sum of its proper divisors (416131670528).

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

314041403440 is a wasteful number, since it uses less digits than its factorization.

314041403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144157 (or 144151 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314041403440 its reverse (44304140413), we get a palindrome (358345543853).

The spelling of 314041403440 in words is "three hundred fourteen billion, forty-one million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 36451 72902 107693 145804 182255 215386 291608 364510 430772 538465 583216 729020 861544 1076930 1458040 1723088 2153860 2916080 4307720 8615440 3925517543 7851035086 15702070172 19627587715 31404140344 39255175430 62808280688 78510350860 157020701720 314041403440