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413041553001 = 327211384722133
BaseRepresentation
bin1100000001010110011…
…00011110111001101001
31110111010120112220110100
412000223030132321221
523231402114144001
6513425413540013
741561361162300
oct6005314367151
91414116486410
10413041553001
1114a196209180
1268072944609
132cc464cb6cc
1415dc4267437
15ab26807586
hex602b31ee69

413041553001 has 72 divisors (see below), whose sum is σ = 757346151744. Its totient is φ = 214501573440.

The previous prime is 413041552991. The next prime is 413041553021. The reversal of 413041553001 is 100355140314.

It is a happy number.

413041553001 is a `hidden beast` number, since 4 + 1 + 304 + 1 + 55 + 300 + 1 = 666.

It is not a de Polignac number, because 413041553001 - 29 = 413041552489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413041553021) 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 71 ways as a sum of consecutive naturals, for example, 18650731 + ... + 18672863.

It is an arithmetic number, because the mean of its divisors is an integer number (10518696552).

Almost surely, 2413041553001 is an apocalyptic number.

It is an amenable number.

413041553001 is a deficient number, since it is larger than the sum of its proper divisors (344304598743).

413041553001 is a wasteful number, since it uses less digits than its factorization.

413041553001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011 (or 26001 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 413041553001 its reverse (100355140314), we get a palindrome (513396693315).

The spelling of 413041553001 in words is "four hundred thirteen billion, forty-one million, five hundred fifty-three thousand, one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 3847 4851 11541 22133 26929 34623 42317 66399 80787 126951 154931 188503 199197 242361 243463 296219 380853 464793 565509 730389 888657 1084517 1394379 1696527 1704241 2073533 2191167 2665971 3253551 5112723 6220599 9760653 11929687 15338169 18661797 35789061 85145651 107367183 255436953 596019557 766310859 936602161 1788058671 2809806483 4172136899 5364176013 6556215127 8429419449 12516410697 19668645381 37549232091 45893505889 59005936143 137680517667 413041553001