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4043129168 = 2413195397199
BaseRepresentation
bin1111000011111101…
…0100000101010000
3101102202212020112202
43300333110011100
531240020113133
61505110142332
7202123013411
oct36077240520
911382766482
104043129168
111795271871
1294a0519a8
134c5842630
142a4d7d808
15189e442e8
hexf0fd4150

4043129168 has 160 divisors (see below), whose sum is σ = 9186912000. Its totient is φ = 1707982848.

The previous prime is 4043129161. The next prime is 4043129171. The reversal of 4043129168 is 8619213404.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043129161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20317133 + ... + 20317331.

It is an arithmetic number, because the mean of its divisors is an integer number (57418200).

Almost surely, 24043129168 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 4043129168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593456000).

4043129168 is an abundant number, since it is smaller than the sum of its proper divisors (5143782832).

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

4043129168 is a wasteful number, since it uses less digits than its factorization.

4043129168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 4043129168 is about 63585.6050376184. The cubic root of 4043129168 is about 1593.0859425005.

The spelling of 4043129168 in words is "four billion, forty-three million, one hundred twenty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 53 76 97 104 106 152 194 199 208 212 247 304 388 398 424 494 689 776 796 848 988 1007 1261 1378 1552 1592 1843 1976 2014 2522 2587 2756 3184 3686 3781 3952 4028 5044 5141 5174 5512 7372 7562 8056 10088 10282 10348 10547 11024 13091 14744 15124 16112 19303 20176 20564 20696 21094 23959 26182 29488 30248 38606 41128 41392 42188 47918 49153 52364 60496 66833 77212 82256 84376 95836 97679 98306 104728 133666 137111 154424 168752 191672 195358 196612 200393 209456 250939 267332 274222 308848 366757 383344 390716 393224 400786 501878 534664 548444 733514 781432 786448 801572 1003756 1023059 1069328 1096888 1269827 1467028 1562864 1603144 2007512 2046118 2193776 2539654 2605109 2934056 3206288 4015024 4092236 4767841 5079308 5210218 5868112 8184472 9535682 10158616 10420436 13299767 16368944 19071364 19438121 20317232 20840872 26599534 38142728 38876242 41681744 53199068 76285456 77752484 106398136 155504968 212796272 252695573 311009936 505391146 1010782292 2021564584 4043129168