Search a number
-
+
4112102040 = 2335433431
BaseRepresentation
bin1111010100011001…
…1011001010011000
3101121120122102112120
43311012123022120
531410144231130
61520012341240
7203621201454
oct36506331230
911546572476
104112102040
1118201a1142
12969174820
13506c11797
142b01b5664
1519101a910
hexf519b298

4112102040 has 128 divisors (see below), whose sum is σ = 12659328000. Its totient is φ = 1068574080.

The previous prime is 4112102017. The next prime is 4112102053. The reversal of 4112102040 is 402012114.

4112102040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 9540625 + ... + 9541055.

It is an arithmetic number, because the mean of its divisors is an integer number (98901000).

Almost surely, 24112102040 is an apocalyptic number.

4112102040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329664000).

4112102040 is an abundant number, since it is smaller than the sum of its proper divisors (8547225960).

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

4112102040 is an equidigital number, since it uses as much as digits as its factorization.

4112102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4112102040 is about 64125.6737976296. The cubic root of 4112102040 is about 1602.0938783921.

Adding to 4112102040 its reverse (402012114), we get a palindrome (4514114154).

The spelling of 4112102040 in words is "four billion, one hundred twelve million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 431 516 645 860 862 1032 1290 1293 1720 1724 1849 2155 2580 2586 3448 3698 4310 5160 5172 5547 6465 7396 8620 9245 10344 11094 12930 14792 17240 18490 18533 22188 25860 27735 36980 37066 44376 51720 55470 55599 73960 74132 79507 92665 110940 111198 148264 159014 185330 221880 222396 238521 277995 318028 370660 397535 444792 477042 555990 636056 741320 795070 796919 954084 1111980 1192605 1590140 1593838 1908168 2223960 2385210 2390757 3180280 3187676 3984595 4770420 4781514 6375352 7969190 9540840 9563028 11953785 15938380 19126056 23907570 31876760 34267517 47815140 68535034 95630280 102802551 137070068 171337585 205605102 274140136 342675170 411210204 514012755 685350340 822420408 1028025510 1370700680 2056051020 4112102040