Search a number
-
+
500131130607042 = 231183973892419583
BaseRepresentation
bin111000110110111011101101…
…0011000011000010111000010
32102120211001212101221200100020
41301231313122120120113002
51011023122023413411132
64531405023005434310
7210226165435632444
oct16155673230302702
92376731771850306
10500131130607042
111353a246a921790
124811491b86b996
131860b21787456c
148b70693b50494
153cc4859b4152c
hex1c6ddda6185c2

500131130607042 has 128 divisors (see below), whose sum is σ = 1118595749806080. Its totient is φ = 147804328151040.

The previous prime is 500131130607019. The next prime is 500131130607061. The reversal of 500131130607042 is 240706031131005.

It is a super-2 number, since 2×5001311306070422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 500131130606994 and 500131130607012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205491583 + ... + 207911165.

It is an arithmetic number, because the mean of its divisors is an integer number (8739029295360).

Almost surely, 2500131130607042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500131130607042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559297874903040).

500131130607042 is an abundant number, since it is smaller than the sum of its proper divisors (618464619199038).

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

500131130607042 is a wasteful number, since it uses less digits than its factorization.

500131130607042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420168.

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 500131130607042 its reverse (240706031131005), we get a palindrome (740837161738047).

The spelling of 500131130607042 in words is "five hundred trillion, one hundred thirty-one billion, one hundred thirty million, six hundred seven thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 97 166 194 249 291 389 498 582 778 913 1067 1167 1826 2134 2334 2739 3201 4279 5478 6402 8051 8558 12837 16102 24153 25674 32287 37733 48306 64574 75466 88561 96861 113199 177122 193722 226398 265683 355157 415063 531366 710314 830126 1065471 1245189 2130942 2419583 2490378 3131839 4839166 6263678 7258749 9395517 14517498 18791034 26615413 34450229 53230826 68900458 79846239 103350687 159692478 200825389 206701374 234699551 401650778 469399102 602476167 704098653 941217787 1204952334 1408197306 1882435574 2209079279 2581695061 2823653361 4418158558 5163390122 5647306722 6627237837 7745085183 10353395657 13254475674 15490170366 19480062733 20706791314 31060186971 38960125466 58440188199 62120373942 78121076321 91298125339 116880376398 156242152642 182596250678 214280690063 234363228963 273894376017 428561380126 468726457926 547788752034 642842070189 859331839531 1004279378729 1285684140378 1718663679062 2008558757458 2577995518593 3012838136187 5155991037186 6025676272374 7577744403137 15155488806274 22733233209411 45466466418822 83355188434507 166710376869014 250065565303521 500131130607042