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314142332420 = 225713921176507
BaseRepresentation
bin1001001001001000101…
…01111001011000000100
31010000212010012221200202
410210210111321120010
520121330414114140
6400152012230032
731460511524240
oct4444425713004
91100763187622
10314142332420
1111125517aa34
1250a7176b318
1323814a83647
14112c14a9420
158289059915
hex4924579604

314142332420 has 96 divisors (see below), whose sum is σ = 762974499840. Its totient is φ = 106422906240.

The previous prime is 314142332389. The next prime is 314142332431. The reversal of 314142332420 is 24233241413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067807 + ... + 4144313.

It is an arithmetic number, because the mean of its divisors is an integer number (7947651040).

Almost surely, 2314142332420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314142332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381487249920).

314142332420 is an abundant number, since it is smaller than the sum of its proper divisors (448832167420).

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

314142332420 is a wasteful number, since it uses less digits than its factorization.

314142332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76873 (or 76871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 314142332420 its reverse (24233241413), we get a palindrome (338375573833).

The spelling of 314142332420 in words is "three hundred fourteen billion, one hundred forty-two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 211 278 422 556 695 844 973 1055 1390 1477 1946 2110 2780 2954 3892 4220 4865 5908 7385 9730 14770 19460 29329 29540 58658 76507 117316 146645 153014 205303 293290 306028 382535 410606 535549 586580 765070 821212 1026515 1071098 1530140 2053030 2142196 2677745 4106060 5355490 10634473 10710980 16142977 21268946 32285954 42537892 53172365 64571908 74441311 80714885 106344730 113000839 148882622 161429770 212689460 226001678 297765244 322859540 372206555 452003356 565004195 744413110 1130008390 1488826220 2243873803 2260016780 4487747606 8975495212 11219369015 15707116621 22438738030 31414233242 44877476060 62828466484 78535583105 157071166210 314142332420