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490141410201 = 3410727272
BaseRepresentation
bin1110010000111101011…
…01000110001110011001
31201212010210112110110000
413020132231012032121
531012302200111301
61013100131243213
750261106150132
oct7103655061631
91655123473400
10490141410201
11179960059023
127abab449509
13372b28427a1
1419a19b90c89
15cb3a3a9786
hex721eb46399

490141410201 has 45 divisors (see below), whose sum is σ = 740111401029. Its totient is φ = 323261835336.

The previous prime is 490141410179. The next prime is 490141410233. The reversal of 490141410201 is 102014141094.

The square root of 490141410201 is 700101.

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

490141410201 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 41 + 410 + 201 = 666.

It is not a de Polignac number, because 490141410201 - 223 = 490133021593 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (490141410301) 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, 674196900 + ... + 674197626.

Almost surely, 2490141410201 is an apocalyptic number.

490141410201 is the 700101-st square number.

490141410201 is the 350051-st centered octagonal number.

It is an amenable number.

490141410201 is a deficient number, since it is larger than the sum of its proper divisors (249969990828).

490141410201 is an frugal number, since it uses more digits than its factorization.

490141410201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 490141410201 its reverse (102014141094), we get a palindrome (592155551295).

The spelling of 490141410201 in words is "four hundred ninety billion, one hundred forty-one million, four hundred ten thousand, two hundred one".

Divisors: 1 3 9 27 81 107 321 727 963 2181 2889 6543 8667 11449 19629 34347 58887 77789 103041 233367 309123 528529 700101 927369 1585587 2100303 4756761 6300909 8323423 14270283 24970269 42810849 56552603 74910807 169657809 224732421 508973427 674197263 1526920281 4580760843 6051128521 18153385563 54460156689 163380470067 490141410201