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314124131321 = 711213235921023
BaseRepresentation
bin1001001001000110100…
…00011101101111111001
31010000210211222020110222
410210203100131233321
520121311234200241
6400150122145425
731460201026640
oct4444320355771
91100724866428
10314124131321
11111245979200
1250a67652275
132381107cc70
14112bcccc357
158287661a4b
hex492341dbf9

314124131321 has 96 divisors (see below), whose sum is σ = 450969845760. Its totient is φ = 212446650240.

The previous prime is 314124131267. The next prime is 314124131329. The reversal of 314124131321 is 123131421413.

It is not a de Polignac number, because 314124131321 - 238 = 39246224377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (314124131329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14931416 + ... + 14952438.

It is an arithmetic number, because the mean of its divisors is an integer number (4697602560).

Almost surely, 2314124131321 is an apocalyptic number.

It is an amenable number.

314124131321 is a deficient number, since it is larger than the sum of its proper divisors (136845714439).

314124131321 is a wasteful number, since it uses less digits than its factorization.

314124131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21147 (or 21136 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 314124131321 its reverse (123131421413), we get a palindrome (437255552734).

The spelling of 314124131321 in words is "three hundred fourteen billion, one hundred twenty-four million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 7 11 13 23 59 77 91 121 143 161 253 299 413 649 767 847 1001 1357 1573 1771 2093 2783 3289 4543 5369 7139 8437 9499 11011 14927 17641 19481 21023 23023 36179 49973 59059 92807 104489 123487 147161 164197 194051 231253 253253 273299 483529 649649 1149379 1240357 1358357 1618771 1913093 2134561 2543783 3006289 3384703 5318819 6285877 8682499 13643927 14941927 16124641 17806481 21044023 28528211 33069179 37231733 44001139 58507009 69144647 95507489 112872487 150083197 177371051 199697477 231484253 313810321 370866743 409549063 484012529 760591117 1050582379 1241597357 1951081561 2196672247 2596067201 3451913531 4079534173 5324137819 13657570927 24163394717 28556739211 44874875903 314124131321