Search a number
-
+
413030333112 = 233374316366361
BaseRepresentation
bin1100000001010101000…
…01101011101010111000
31110111002210102212122220
412000222201223222320
523231341231124422
6513424333244040
741561163622245
oct6005241535270
91414083385586
10413030333112
1114a18a945541
126806b033620
132cc440a0817
1415dc29865cc
15ab2583ce5c
hex602a86bab8

413030333112 has 128 divisors (see below), whose sum is σ = 1091819477760. Its totient is φ = 130035870720.

The previous prime is 413030333081. The next prime is 413030333147. The reversal of 413030333112 is 211333030314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6190812 + ... + 6257172.

It is an arithmetic number, because the mean of its divisors is an integer number (8529839670).

Almost surely, 2413030333112 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 413030333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545909738880).

413030333112 is an abundant number, since it is smaller than the sum of its proper divisors (678789144648).

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

413030333112 is a wasteful number, since it uses less digits than its factorization.

413030333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66613 (or 66609 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 413030333112 its reverse (211333030314), we get a palindrome (624363363426).

The spelling of 413030333112 in words is "four hundred thirteen billion, thirty million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 43 74 86 111 129 148 163 172 222 258 296 326 344 444 489 516 652 888 978 1032 1304 1591 1956 3182 3912 4773 6031 6364 7009 9546 12062 12728 14018 18093 19092 21027 24124 28036 36186 38184 42054 48248 56072 66361 72372 84108 132722 144744 168216 199083 259333 265444 398166 518666 530888 777999 796332 1037332 1555998 1592664 2074664 2455357 2853523 3111996 4910714 5707046 6223992 7366071 8560569 9821428 10816843 11414092 14732142 17121138 19642856 21633686 22828184 29464284 32450529 34242276 43267372 58928568 64901058 68484552 86534744 105580351 129802116 211160702 259604232 316741053 400223191 422321404 465124249 633482106 800446382 844642808 930248498 1200669573 1266964212 1395372747 1600892764 1860496996 2401339146 2533928424 2790745494 3201785528 3720993992 4802678292 5581490988 9605356584 11162981976 17209597213 34419194426 51628791639 68838388852 103257583278 137676777704 206515166556 413030333112