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4024442130 = 23517137239241
BaseRepresentation
bin1110111111100000…
…0001110100010010
3101101110200211202020
43233320001310102
531220224122010
61503201432310
7201505123302
oct35770016422
911343624666
104024442130
111785768a35
1294393b696
134c19cba07
142a26b7602
151884a2470
hexefe01d12

4024442130 has 128 divisors (see below), whose sum is σ = 10387491840. Its totient is φ = 994344960.

The previous prime is 4024442129. The next prime is 4024442141. The reversal of 4024442130 is 312444204.

It is a happy number.

4024442130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40244421302 = 32392268915437873800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4024442130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16698810 + ... + 16699050.

It is an arithmetic number, because the mean of its divisors is an integer number (81152280).

Almost surely, 24024442130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024442130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193745920).

4024442130 is an abundant number, since it is smaller than the sum of its proper divisors (6363049710).

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

4024442130 is a wasteful number, since it uses less digits than its factorization.

4024442130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644.

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

The square root of 4024442130 is about 63438.4909183691. The cubic root of 4024442130 is about 1590.6277771022.

Adding to 4024442130 its reverse (312444204), we get a palindrome (4336886334).

The spelling of 4024442130 in words is "four billion, twenty-four million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 137 170 239 241 255 274 411 478 482 510 685 717 723 822 1195 1205 1370 1434 1446 2055 2329 2390 2410 3585 3615 4063 4097 4110 4658 6987 7170 7230 8126 8194 11645 12189 12291 13974 20315 20485 23290 24378 24582 32743 33017 34935 40630 40970 57599 60945 61455 65486 66034 69870 98229 99051 115198 121890 122910 163715 165085 172797 196458 198102 287995 327430 330170 345594 491145 495255 556631 561289 575990 863985 979183 982290 990510 1113262 1122578 1669893 1683867 1727970 1958366 2783155 2806445 2937549 3339786 3367734 4895915 5566310 5612890 5875098 7891063 8349465 8419335 9791830 14687745 15782126 16698930 16838670 23673189 29375490 39455315 47346378 78910630 118365945 134148071 236731890 268296142 402444213 670740355 804888426 1341480710 2012221065 4024442130