Search a number
-
+
130044033042 = 23721171955927
BaseRepresentation
bin111100100011100111…
…0100111100000010010
3110102122222210100121020
41321013032213200102
54112312233024132
6135424050540310
712252420020400
oct1710716474022
9412588710536
10130044033042
1150173514880
1221253597696
13c356050ca1
14641928c470
1535b1b6052c
hex1e473a7812

130044033042 has 96 divisors (see below), whose sum is σ = 330521057280. Its totient is φ = 33730089120.

The previous prime is 130044032999. The next prime is 130044033071. The reversal of 130044033042 is 240330440031.

It is a super-2 number, since 2×1300440330422 (a number of 23 digits) contains 22 as substring.

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, 2297283 + ... + 2353209.

It is an arithmetic number, because the mean of its divisors is an integer number (3442927680).

Almost surely, 2130044033042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130044033042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165260528640).

130044033042 is an abundant number, since it is smaller than the sum of its proper divisors (200477024238).

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

130044033042 is a wasteful number, since it uses less digits than its factorization.

130044033042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56676 (or 56669 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 130044033042 its reverse (240330440031), we get a palindrome (370374473073).

The spelling of 130044033042 in words is "one hundred thirty billion, forty-four million, thirty-three thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 719 1078 1438 1617 2157 3234 4314 5033 7909 10066 15099 15818 23727 30198 35231 47454 55363 55927 70462 105693 110726 111854 166089 167781 211386 332178 335562 387541 391489 615197 775082 782978 1162623 1174467 1230394 1845591 2325246 2348934 2740423 3691182 4306379 5480846 8221269 8612758 12919137 16442538 25838274 30144653 40211513 60289306 80423026 90433959 120634539 180867918 241269078 281480591 442326643 562961182 844441773 884653286 1326979929 1688883546 1970364137 2653959858 3096286501 3940728274 5911092411 6192573002 9288859503 11822184822 18577719006 21674005507 43348011014 65022016521 130044033042