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314023002141310 = 2571117192707466423
BaseRepresentation
bin100011101100110100010110…
…1011111100111001001111110
31112011212022020221110101112021
41013121220231133213021332
5312124423102022010220
63031512101535030354
7123100261506126130
oct10731505537471176
91464768227411467
10314023002141310
119106a453167350
122b27791806b3ba
131062b31b9b7767
145778b19b8d050
1526486d3d414aa
hex11d9a2d7e727e

314023002141310 has 256 divisors, whose sum is σ = 785734437519360. Its totient is φ = 87238973859840.

The previous prime is 314023002141301. The next prime is 314023002141349. The reversal of 314023002141310 is 13141200320413.

It is a super-2 number, since 2×3140230021413102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 673024759 + ... + 673491181.

It is an arithmetic number, because the mean of its divisors is an integer number (3069275146560).

Almost surely, 2314023002141310 is an apocalyptic number.

314023002141310 is an abundant number, since it is smaller than the sum of its proper divisors (471711435378050).

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

314023002141310 is a wasteful number, since it uses less digits than its factorization.

314023002141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469191.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 314023002141310 its reverse (13141200320413), we get a palindrome (327164202461723).

The spelling of 314023002141310 in words is "three hundred fourteen trillion, twenty-three billion, two million, one hundred forty-one thousand, three hundred ten".