Search a number
-
+
4145990490 = 2325971094357
BaseRepresentation
bin1111011100011110…
…1100101101011010
3101200221102010202100
43313013230231122
531442333143430
61523222544230
7204512223555
oct36707545532
911627363670
104145990490
111838338024
12978598076
13510c48615
142b48b769c
15193eb1960
hexf71ecb5a

4145990490 has 96 divisors (see below), whose sum is σ = 10993142160. Its totient is φ = 1083912192.

The previous prime is 4145990483. The next prime is 4145990503. The reversal of 4145990490 is 940995414.

4145990490 is a `hidden beast` number, since 4 + 14 + 599 + 0 + 49 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3508074441 + 637916049 = 59229^2 + 25257^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949392 + ... + 953748.

Almost surely, 24145990490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4145990490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496571080).

4145990490 is an abundant number, since it is smaller than the sum of its proper divisors (6847151670).

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

4145990490 is a wasteful number, since it uses less digits than its factorization.

4145990490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4145990490 is about 64389.3662804659. The cubic root of 4145990490 is about 1606.4828756112.

The spelling of 4145990490 in words is "four billion, one hundred forty-five million, nine hundred ninety thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 109 194 218 291 327 485 545 582 654 873 970 981 1090 1455 1635 1746 1962 2910 3270 4357 4365 4905 8714 8730 9810 10573 13071 21146 21785 26142 31719 39213 43570 52865 63438 65355 78426 95157 105730 130710 158595 190314 196065 317190 392130 422629 474913 475785 845258 949826 951570 1267887 1424739 2113145 2374565 2535774 2849478 3803661 4226290 4274217 4749130 6339435 7123695 7607322 8548434 12678870 14247390 19018305 21371085 38036610 42742170 46066561 92133122 138199683 230332805 276399366 414599049 460665610 690998415 829198098 1381996830 2072995245 4145990490