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314221310145 = 32531534249967
BaseRepresentation
bin1001001001010010000…
…11001011000011000001
31010001001121211102202200
410210221003023003001
520122011123411040
6400203513103413
731462461032061
oct4445103130301
91101047742680
10314221310145
11111295813086
1250a940b7b69
1323828246622
14112cbb873a1
158290e5a630
hex49290cb0c1

314221310145 has 48 divisors (see below), whose sum is σ = 572827686912. Its totient is φ = 159118727040.

The previous prime is 314221310141. The next prime is 314221310149. The reversal of 314221310145 is 541013122413.

314221310145 is a `hidden beast` number, since 314 + 2 + 21 + 310 + 14 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (314221310141) and next prime (314221310149).

It is not a de Polignac number, because 314221310145 - 22 = 314221310141 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314221310141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051049 + ... + 2198918.

It is an arithmetic number, because the mean of its divisors is an integer number (11933910144).

Almost surely, 2314221310145 is an apocalyptic number.

It is an amenable number.

314221310145 is a deficient number, since it is larger than the sum of its proper divisors (258606376767).

314221310145 is a wasteful number, since it uses less digits than its factorization.

314221310145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250062 (or 4250059 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 314221310145 its reverse (541013122413), we get a palindrome (855234432558).

The spelling of 314221310145 in words is "three hundred fourteen billion, two hundred twenty-one million, three hundred ten thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 31 45 53 93 155 159 265 279 465 477 795 1395 1643 2385 4929 8215 14787 24645 73935 4249967 12749901 21249835 38249703 63749505 131748977 191248515 225248251 395246931 658744885 675744753 1126241255 1185740793 1976234655 2027234259 3378723765 5928703965 6982695781 10136171295 20948087343 34913478905 62844262029 104740436715 314221310145