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314446009010 = 25722932190193
BaseRepresentation
bin1001001001101100111…
…00010101001010110010
31010001122021122022122212
410210312130111022302
520122441134242020
6400242101132122
731501156655600
oct4446634251262
91101567568585
10314446009010
111113a0635721
1250b373ba042
132386296aa33
141130d958870
1582a5a42cc5
hex49367152b2

314446009010 has 48 divisors (see below), whose sum is σ = 660658878936. Its totient is φ = 107442058752.

The previous prime is 314446008997. The next prime is 314446009019. The reversal of 314446009010 is 10900644413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 311244599449 + 3201409561 = 557893^2 + 56581^2 .

It is not an unprimeable number, because it can be changed into a prime (314446009019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951527 + ... + 1238666.

Almost surely, 2314446009010 is an apocalyptic number.

314446009010 is an abundant number, since it is smaller than the sum of its proper divisors (346212869926).

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

314446009010 is a wasteful number, since it uses less digits than its factorization.

314446009010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190507 (or 2190500 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 314446009010 in words is "three hundred fourteen billion, four hundred forty-six million, nine thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 293 490 586 1465 2051 2930 4102 10255 14357 20510 28714 71785 143570 2190193 4380386 10950965 15331351 21901930 30662702 76656755 107319457 153313510 214638914 536597285 641726549 1073194570 1283453098 3208632745 4492085843 6417265490 8984171686 22460429215 31444600901 44920858430 62889201802 157223004505 314446009010