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413364104244 = 2232713233541543
BaseRepresentation
bin1100000001111100110…
…10111010110000110100
31110111222001111012120200
412000332122322300310
523233032202313434
6513521415200500
741602355625030
oct6007632726064
91414861435520
10413364104244
1114a341295753
1268142976130
132cc98293c30
141601502b1c0
15ab44cbd199
hex603e6bac34

413364104244 has 144 divisors (see below), whose sum is σ = 1291543448832. Its totient is φ = 108551010816.

The previous prime is 413364104207. The next prime is 413364104249. The reversal of 413364104244 is 442401463314.

413364104244 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 641 + 0 + 4 + 2 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 413364104199 and 413364104208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413364104249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492537 + ... + 1034079.

It is an arithmetic number, because the mean of its divisors is an integer number (8969051728).

Almost surely, 2413364104244 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 413364104244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645771724416).

413364104244 is an abundant number, since it is smaller than the sum of its proper divisors (878179344588).

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

413364104244 is a wasteful number, since it uses less digits than its factorization.

413364104244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541806 (or 541801 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 413364104244 its reverse (442401463314), we get a palindrome (855765567558).

The spelling of 413364104244 in words is "four hundred thirteen billion, three hundred sixty-four million, one hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 233 234 252 273 364 466 468 546 699 819 932 1092 1398 1631 1638 2097 2796 3029 3262 3276 4194 4893 6058 6524 8388 9087 9786 12116 14679 18174 19572 21203 27261 29358 36348 42406 54522 58716 63609 84812 109044 127218 190827 254436 381654 541543 763308 1083086 1624629 2166172 3249258 3790801 4873887 6498516 7040059 7581602 9747774 11372403 14080118 15163204 19495548 21120177 22744806 28160236 34117209 42240354 45489612 49280413 63360531 68234418 84480708 98560826 126179519 126721062 136468836 147841239 197121652 252359038 253442124 295682478 378538557 443523717 504718076 591364956 757077114 883256633 887047434 1135615671 1514154228 1640333747 1766513266 1774094868 2271231342 2649769899 3280667494 3533026532 4542462684 4921001241 5299539798 6561334988 7949309697 9842002482 10599079596 11482336229 14763003723 15898619394 19684004964 22964672458 29526007446 31797238788 34447008687 45929344916 59052014892 68894017374 103341026061 137788034748 206682052122 413364104244