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314421130023 = 371113372829793
BaseRepresentation
bin1001001001101001111…
…01011011001100100111
31010001120112211100002220
410210310331123030213
520122413302130043
6400235412003423
731500435336240
oct4446475331447
91101515740086
10314421130023
11111388592780
1250b2b000573
132385a769940
141130a51dcc7
1582a377b483
hex4934f5b327

314421130023 has 64 divisors (see below), whose sum is σ = 578092956672. Its totient is φ = 146696417280.

The previous prime is 314421129977. The next prime is 314421130043. The reversal of 314421130023 is 320031124413.

It is a happy number.

It is not a de Polignac number, because 314421130023 - 26 = 314421129959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314421129975 and 314421130002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314421130043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303786 + ... + 1526007.

It is an arithmetic number, because the mean of its divisors is an integer number (9032702448).

Almost surely, 2314421130023 is an apocalyptic number.

314421130023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

314421130023 is a deficient number, since it is larger than the sum of its proper divisors (263671826649).

314421130023 is a wasteful number, since it uses less digits than its factorization.

314421130023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829864.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314421130023 its reverse (320031124413), we get a palindrome (634452254436).

It can be divided in two parts, 314421 and 130023, that added together give a palindrome (444444).

The spelling of 314421130023 in words is "three hundred fourteen billion, four hundred twenty-one million, one hundred thirty thousand, twenty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 2829793 8489379 19808551 31127723 36787309 59425653 93383169 104702341 110361927 217894061 257511163 314107023 404660399 653682183 732916387 772533489 1151725751 1213981197 1361130433 2198749161 2832622793 3455177253 4083391299 8062080257 8497868379 9527913031 14972434763 24186240771 28583739093 44917304289 104807043341 314421130023