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4022340114 = 23131715120089
BaseRepresentation
bin1110111111000000…
…0000101000010010
3101101022202001022210
43233300000220102
531214204340424
61503044412550
7201451220052
oct35760005022
911338661283
104022340114
111784562731
129430a7156
134c1444010
142a22cb562
151881d9729
hexefc00a12

4022340114 has 64 divisors (see below), whose sum is σ = 9234328320. Its totient is φ = 1157068800.

The previous prime is 4022340089. The next prime is 4022340121. The reversal of 4022340114 is 4110432204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190182 + ... + 210270.

It is an arithmetic number, because the mean of its divisors is an integer number (144286380).

Almost surely, 24022340114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022340114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617164160).

4022340114 is an abundant number, since it is smaller than the sum of its proper divisors (5211988206).

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

4022340114 is a wasteful number, since it uses less digits than its factorization.

4022340114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20275.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4022340114 is about 63421.9213994657. The cubic root of 4022340114 is about 1590.3507940057.

Adding to 4022340114 its reverse (4110432204), we get a palindrome (8132772318).

The spelling of 4022340114 in words is "four billion, twenty-two million, three hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 151 221 302 442 453 663 906 1326 1963 2567 3926 5134 5889 7701 11778 15402 20089 33371 40178 60267 66742 100113 120534 200226 261157 341513 522314 683026 783471 1024539 1566942 2049078 3033439 4439669 6066878 8879338 9100317 13319007 18200634 26638014 39434707 51568463 78869414 103136926 118304121 154705389 236608242 309410778 670390019 1340780038 2011170057 4022340114