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413112010140 = 22335765022241
BaseRepresentation
bin1100000001011110110…
…01010000010110011100
31110111022111010111111000
412000233121100112130
523232023133311030
6513440412030300
741563205101554
oct6005731202634
91414274114430
10413112010140
1114a221a61715
1268092462390
132cc57c9a31b
1415dcd768164
15ab2cac3860
hex602f65059c

413112010140 has 48 divisors (see below), whose sum is σ = 1285237366560. Its totient is φ = 110163202560.

The previous prime is 413112010121. The next prime is 413112010153. The reversal of 413112010140 is 41010211314.

413112010140 is a `hidden beast` number, since 413 + 11 + 201 + 0 + 1 + 40 = 666.

It is a super-2 number, since 2×4131120101402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 382510581 + ... + 382511660.

It is an arithmetic number, because the mean of its divisors is an integer number (26775778470).

Almost surely, 2413112010140 is an apocalyptic number.

It is an amenable number.

413112010140 is an abundant number, since it is smaller than the sum of its proper divisors (872125356420).

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

413112010140 is a wasteful number, since it uses less digits than its factorization.

413112010140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765022259 (or 765022251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 413112010140 its reverse (41010211314), we get a palindrome (454122221454).

The spelling of 413112010140 in words is "four hundred thirteen billion, one hundred twelve million, ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 765022241 1530044482 2295066723 3060088964 3825111205 4590133446 6885200169 7650222410 9180266892 11475333615 13770400338 15300444820 20655600507 22950667230 27540800676 34426000845 41311201014 45901334460 68852001690 82622402028 103278002535 137704003380 206556005070 413112010140