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4314502242 = 23223411571619
BaseRepresentation
bin1000000010010101…
…00001010001100010
3102010200111102102100
410001022201101202
532314003032432
61552042431230
7211626443511
oct40112412142
912120442370
104314502242
111914473436
12a04b02516
13539b2940b
142cd020678
151a3b9b07c
hex1012a1462

4314502242 has 96 divisors (see below), whose sum is σ = 10062299520. Its totient is φ = 1332714240.

The previous prime is 4314502237. The next prime is 4314502271. The reversal of 4314502242 is 2422054134.

4314502242 is a `hidden beast` number, since 431 + 4 + 5 + 0 + 224 + 2 = 666.

It is a super-2 number, since 2×43145022422 = 37229859192446053128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2664109 + ... + 2665727.

It is an arithmetic number, because the mean of its divisors is an integer number (104815620).

Almost surely, 24314502242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314502242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031149760).

4314502242 is an abundant number, since it is smaller than the sum of its proper divisors (5747797278).

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

4314502242 is a wasteful number, since it uses less digits than its factorization.

4314502242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4314502242 is about 65684.8707237824. The cubic root of 4314502242 is about 1627.9593872617.

Adding to 4314502242 its reverse (2422054134), we get a palindrome (6736556376).

The spelling of 4314502242 in words is "four billion, three hundred fourteen million, five hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 157 207 246 314 369 414 471 738 942 943 1413 1619 1886 2826 2829 3238 3611 4857 5658 6437 7222 8487 9714 10833 12874 14571 16974 19311 21666 29142 32499 37237 38622 57933 64998 66379 74474 111711 115866 132758 148051 199137 223422 254183 296102 335133 398274 444153 508366 597411 670266 762549 888306 1194822 1332459 1525098 1526717 2287647 2664918 3053434 4575294 4580151 5846209 9160302 10421503 11692418 13740453 17538627 20843006 27480906 31264509 35077254 52615881 62529018 93793527 105231762 187587054 239694569 479389138 719083707 1438167414 2157251121 4314502242