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4042423140 = 2235724139937
BaseRepresentation
bin1111000011110010…
…0111101101100100
3101102201112101001120
43300330213231210
531234330020030
61505043053540
7202114013130
oct36074475544
911381471046
104042423140
11179492a378
129499712b0
134c5656172
142a4c383c0
15189d55010
hexf0f27b64

4042423140 has 96 divisors (see below), whose sum is σ = 12989754624. Its totient is φ = 920125440.

The previous prime is 4042423111. The next prime is 4042423153. The reversal of 4042423140 is 413242404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4042423140.

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, 81252 + ... + 121188.

It is an arithmetic number, because the mean of its divisors is an integer number (135309944).

Almost surely, 24042423140 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 4042423140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6494877312).

4042423140 is an abundant number, since it is smaller than the sum of its proper divisors (8947331484).

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

4042423140 is a wasteful number, since it uses less digits than its factorization.

4042423140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40197 (or 40195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4042423140 is about 63580.0530040672. The cubic root of 4042423140 is about 1592.9932066753.

Adding to 4042423140 its reverse (413242404), we get a palindrome (4455665544).

The spelling of 4042423140 in words is "four billion, forty-two million, four hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 241 420 482 723 964 1205 1446 1687 2410 2892 3374 3615 4820 5061 6748 7230 8435 10122 14460 16870 20244 25305 33740 39937 50610 79874 101220 119811 159748 199685 239622 279559 399370 479244 559118 599055 798740 838677 1118236 1198110 1397795 1677354 2396220 2795590 3354708 4193385 5591180 8386770 9624817 16773540 19249634 28874451 38499268 48124085 57748902 67373719 96248170 115497804 134747438 144372255 192496340 202121157 269494876 288744510 336868595 404242314 577489020 673737190 808484628 1010605785 1347474380 2021211570 4042423140