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40411410120 = 23325112253917
BaseRepresentation
bin100101101000101101…
…010010111011001000
310212022100012100002100
4211220231102323020
51130230310110440
630321552433400
72630301214134
oct455055227310
9125270170070
1040411410120
1116158207604
1279b9848860
133a7038a4c3
141d550a23c4
1510b7ba1230
hex968b52ec8

40411410120 has 48 divisors (see below), whose sum is σ = 131337084060. Its totient is φ = 10776375936.

The previous prime is 40411410049. The next prime is 40411410131. The reversal of 40411410120 is 2101411404.

40411410120 is a `hidden beast` number, since 404 + 1 + 141 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39989600676 + 421809444 = 199974^2 + 20538^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 40411410093 and 40411410102.

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 11 ways as a sum of consecutive naturals, for example, 56126599 + ... + 56127318.

Almost surely, 240411410120 is an apocalyptic number.

40411410120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40411410120 is an abundant number, since it is smaller than the sum of its proper divisors (90925673940).

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

40411410120 is a wasteful number, since it uses less digits than its factorization.

40411410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112253934 (or 112253927 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 40411410120 its reverse (2101411404), we get a palindrome (42512821524).

The spelling of 40411410120 in words is "forty billion, four hundred eleven million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 112253917 224507834 336761751 449015668 561269585 673523502 898031336 1010285253 1122539170 1347047004 1683808755 2020570506 2245078340 2694094008 3367617510 4041141012 4490156680 5051426265 6735235020 8082282024 10102852530 13470470040 20205705060 40411410120