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314414241320 = 23541953187361
BaseRepresentation
bin1001001001101001000…
…11001001011000101000
31010001120001212100120202
410210310203021120220
520122410021210240
6400235004211332
731500322645454
oct4446443113050
91101501770522
10314414241320
11111384708133
1250b28839b48
13238591c729a
1411309649664
1582a2d6a315
hex49348c9628

314414241320 has 32 divisors (see below), whose sum is σ = 707452681320. Its totient is φ = 125762027520.

The previous prime is 314414241319. The next prime is 314414241329. The reversal of 314414241320 is 23142414413.

It can be written as a sum of positive squares in 4 ways, for example, as 297136190404 + 17278050916 = 545102^2 + 131446^2 .

It is not an unprimeable number, because it can be changed into a prime (314414241329) 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, 1584440 + ... + 1771800.

Almost surely, 2314414241320 is an apocalyptic number.

It is an amenable number.

314414241320 is an abundant number, since it is smaller than the sum of its proper divisors (393038440000).

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

314414241320 is a wasteful number, since it uses less digits than its factorization.

314414241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229325 (or 229321 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 314414241320 its reverse (23142414413), we get a palindrome (337556655733).

The spelling of 314414241320 in words is "three hundred fourteen billion, four hundred fourteen million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41953 83906 167812 187361 209765 335624 374722 419530 749444 839060 936805 1498888 1678120 1873610 3747220 7494440 7860356033 15720712066 31441424132 39301780165 62882848264 78603560330 157207120660 314414241320