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402420132114 = 2371113446315013
BaseRepresentation
bin1011101101100100001…
…10111110100100010010
31102110201100110211010120
411312302012332210102
523043124023211424
6504511432011110
741034226453530
oct5666206764422
91373640424116
10402420132114
11145735745490
1265ba9830a96
132bc42b55590
1415697783150
15a7040e9a79
hex5db21be912

402420132114 has 128 divisors (see below), whose sum is σ = 1080938815488. Its totient is φ = 96456303360.

The previous prime is 402420132113. The next prime is 402420132131. The reversal of 402420132114 is 411231024204.

It is not an unprimeable number, because it can be changed into a prime (402420132113) 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, 26797272 + ... + 26812284.

It is an arithmetic number, because the mean of its divisors is an integer number (8444834496).

Almost surely, 2402420132114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402420132114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540469407744).

402420132114 is an abundant number, since it is smaller than the sum of its proper divisors (678518683374).

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

402420132114 is a wasteful number, since it uses less digits than its factorization.

402420132114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19512.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 402420132114 its reverse (411231024204), we get a palindrome (813651156318).

The spelling of 402420132114 in words is "four hundred two billion, four hundred twenty million, one hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4463 6006 8926 13389 15013 26778 30026 31241 45039 49093 58019 62482 90078 93723 98186 105091 116038 147279 165143 174057 187446 195169 210182 294558 315273 330286 343651 348114 390338 406133 495429 585507 630546 638209 687302 812266 990858 1030953 1156001 1171014 1218399 1276418 1366183 1914627 2061906 2146859 2312002 2436798 2732366 3468003 3829254 4098549 4293718 4467463 6440577 6936006 8197098 8934926 12881154 13402389 15028013 26804778 30056026 45084039 67003019 90168078 134006038 201009057 402018114 469021133 737033209 871039247 938042266 1407063399 1474066418 1742078494 2211099627 2613117741 2814126798 4422199254 5159232463 5226235482 6097274729 9581431717 10318464926 12194549458 15477697389 18291824187 19162863434 28744295151 30955394778 36583648374 57488590302 67070022019 134140044038 201210066057 402420132114