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314450412240 = 24351310210051
BaseRepresentation
bin1001001001101101011…
…01001000001011010000
31010001122120221000202110
410210312231020023100
520122443301142430
6400242335345320
731501242255156
oct4446655101320
91101576830673
10314450412240
111113a3072958
1250b38982240
132386384ccb3
14113103833d6
1582a61127b0
hex4936b482d0

314450412240 has 40 divisors (see below), whose sum is σ = 974796278688. Its totient is φ = 83853443200.

The previous prime is 314450412223. The next prime is 314450412247. The reversal of 314450412240 is 42214054413.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314450412198 and 314450412207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314450412247) 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, 655104786 + ... + 655105265.

Almost surely, 2314450412240 is an apocalyptic number.

314450412240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314450412240 is an abundant number, since it is smaller than the sum of its proper divisors (660345866448).

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

314450412240 is a wasteful number, since it uses less digits than its factorization.

314450412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310210067 (or 1310210061 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 314450412240 its reverse (42214054413), we get a palindrome (356664466653).

The spelling of 314450412240 in words is "three hundred fourteen billion, four hundred fifty million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1310210051 2620420102 3930630153 5240840204 6551050255 7861260306 10481680408 13102100510 15722520612 19653150765 20963360816 26204201020 31445041224 39306301530 52408402040 62890082448 78612603060 104816804080 157225206120 314450412240