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412715020041 = 3441217412
BaseRepresentation
bin1100000000101111011…
…10110110111100001001
31110110021211010022110000
412000113232312330021
523230220021120131
6513333151113213
741550314534202
oct6002756667411
91413254108400
10412715020041
1114a038962125
1267ba1512809
132cbc3970a3c
1415d92b485a9
15ab07d06ce6
hex6017bb6f09

412715020041 has 45 divisors (see below), whose sum is σ = 632292037509. Its totient is φ = 268278350400.

The previous prime is 412715020031. The next prime is 412715020063. The reversal of 412715020041 is 140020517214.

The square root of 412715020041 is 642429.

It is a perfect power (a square), and thus also a powerful number.

412715020041 is a `hidden beast` number, since 412 + 7 + 1 + 5 + 0 + 200 + 41 = 666.

412715020041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 386412667641 + 26302352400 = 621621^2 + 162180^2 .

It is not a de Polignac number, because 412715020041 - 215 = 412714987273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 412715019987 and 412715020014.

It is not an unprimeable number, because it can be changed into a prime (412715020031) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 237055431 + ... + 237057171.

Almost surely, 2412715020041 is an apocalyptic number.

412715020041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

412715020041 is the 642429-th square number.

412715020041 is the 321215-th centered octagonal number.

It is an amenable number.

412715020041 is a deficient number, since it is larger than the sum of its proper divisors (219577017468).

412715020041 is an frugal number, since it uses more digits than its factorization.

412715020041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 412715020041 its reverse (140020517214), we get a palindrome (552735537255).

The spelling of 412715020041 in words is "four hundred twelve billion, seven hundred fifteen million, twenty thousand, forty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 1681 1741 3321 5043 5223 15129 15669 45387 47007 71381 136161 141021 214143 642429 1927287 2926621 3031081 5781861 8779863 9093243 26339589 27279729 79018767 81839187 124274321 237056301 245517561 372822963 1118468889 3355406667 5095247161 10066220001 15285741483 45857224449 137571673347 412715020041