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314402124320 = 25510119455577
BaseRepresentation
bin1001001001100111101…
…00111011001000100000
31010001112020001202011222
410210303310323020200
520122343420434240
6400233452354212
731500114651104
oct4446364731040
91101466052158
10314402124320
11111378891489
1250b24775968
1323856843c6b
1411307bb3904
1582a1c74eb5
hex4933d3b220

314402124320 has 48 divisors (see below), whose sum is σ = 750129265368. Its totient is φ = 124515686400.

The previous prime is 314402124301. The next prime is 314402124359. The reversal of 314402124320 is 23421204413.

It can be written as a sum of positive squares in 4 ways, for example, as 306911568016 + 7490556304 = 553996^2 + 86548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 314402124320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9711629 + ... + 9743948.

Almost surely, 2314402124320 is an apocalyptic number.

It is an amenable number.

314402124320 is an abundant number, since it is smaller than the sum of its proper divisors (435727141048).

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

314402124320 is a wasteful number, since it uses less digits than its factorization.

314402124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455693 (or 19455685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 314402124320 its reverse (23421204413), we get a palindrome (337823328733).

The spelling of 314402124320 in words is "three hundred fourteen billion, four hundred two million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 19455577 38911154 77822308 97277885 155644616 194555770 311289232 389111540 622578464 778223080 1556446160 1965013277 3112892320 3930026554 7860053108 9825066385 15720106216 19650132770 31440212432 39300265540 62880424864 78600531080 157201062160 314402124320