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413043230130 = 235238915144543
BaseRepresentation
bin1100000001010110100…
…10111000010110110010
31110111010200201010001020
412000223102320112302
523231403031331010
6513425513520310
741561411346006
oct6005322702662
91414120633036
10413043230130
1114a197154233
1268073413096
132cc46967bab
1415dc4582706
15ab26a39470
hex602b4b85b2

413043230130 has 128 divisors (see below), whose sum is σ = 1052977397760. Its totient is φ = 103479974400.

The previous prime is 413043230113. The next prime is 413043230137. The reversal of 413043230130 is 31032340314.

It is a self number, because there is not a number n which added to its sum of digits gives 413043230130.

It is not an unprimeable number, because it can be changed into a prime (413043230137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9250639 + ... + 9295181.

It is an arithmetic number, because the mean of its divisors is an integer number (8226385920).

Almost surely, 2413043230130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413043230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526488698880).

413043230130 is an abundant number, since it is smaller than the sum of its proper divisors (639934167630).

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

413043230130 is a wasteful number, since it uses less digits than its factorization.

413043230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44816.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413043230130 its reverse (31032340314), we get a palindrome (444075570444).

The spelling of 413043230130 in words is "four hundred thirteen billion, forty-three million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 151 178 230 267 302 345 445 453 534 690 755 890 906 1335 1510 2047 2265 2670 3473 4094 4530 6141 6946 10235 10419 12282 13439 17365 20470 20838 26878 30705 34730 40317 44543 52095 61410 67195 80634 89086 104190 133629 134390 201585 222715 267258 309097 403170 445430 618194 668145 927291 1024489 1336290 1545485 1854582 2048978 3073467 3090970 3964327 4636455 5122445 6146934 6725993 7928654 9272910 10244890 11892981 13451986 15367335 19821635 20177979 23785962 30734670 33629965 39643270 40355958 59464905 67259930 91179521 100889895 118929810 154697839 182359042 201779790 273538563 309395678 455897605 464093517 547077126 598613377 773489195 911795210 928187034 1197226754 1367692815 1546978390 1795840131 2320467585 2735385630 2993066885 3591680262 4640935170 5986133770 8979200655 13768107671 17958401310 27536215342 41304323013 68840538355 82608646026 137681076710 206521615065 413043230130