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413111822040 = 233255321651563
BaseRepresentation
bin1100000001011110110…
…00100010011011011000
31110111022110202221110100
412000233120202123120
523232023111301130
6513440404015400
741563203356301
oct6005730423330
91414273687410
10413111822040
1114a221943365
1268092391560
132cc57c32818
1415dcd7197a8
15ab2ca87c60
hex602f6226d8

413111822040 has 96 divisors (see below), whose sum is σ = 1367945813520. Its totient is φ = 108084597504.

The previous prime is 413111822033. The next prime is 413111822077. The reversal of 413111822040 is 40228111314.

413111822040 is a `hidden beast` number, since 413 + 11 + 18 + 220 + 4 + 0 = 666.

It is a super-2 number, since 2×4131118220402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413111821995 and 413111822013.

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 23 ways as a sum of consecutive naturals, for example, 10806702 + ... + 10844861.

Almost surely, 2413111822040 is an apocalyptic number.

413111822040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413111822040 is an abundant number, since it is smaller than the sum of its proper divisors (954833991480).

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

413111822040 is a wasteful number, since it uses less digits than its factorization.

413111822040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21651633 (or 21651626 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 413111822040 its reverse (40228111314), we get a palindrome (453339933354).

The spelling of 413111822040 in words is "four hundred thirteen billion, one hundred eleven million, eight hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 21651563 43303126 64954689 86606252 108257815 129909378 173212504 194864067 216515630 259818756 324773445 389728134 433031260 519637512 649546890 779456268 866062520 974320335 1147532839 1299093780 1558912536 1948640670 2295065678 2598187560 3442598517 3897281340 4590131356 5737664195 6885197034 7794562680 9180262712 10327795551 11475328390 13770394068 17212992585 20655591102 22950656780 27540788136 34425985170 41311182204 45901313560 51638977755 68851970340 82622364408 103277955510 137703940680 206555911020 413111822040