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1353414413 = 13531964317
BaseRepresentation
bin101000010101011…
…0111011100001101
310111022200120112202
41100222313130031
510232433230123
6342144211245
745352555421
oct12052673415
93438616482
101353414413
11634a7030a
12319309b25
1318751a540
14cba66b81
157dc41a28
hex50ab770d

1353414413 has 8 divisors (see below), whose sum is σ = 1485024408. Its totient is φ = 1225733184.

The previous prime is 1353414371. The next prime is 1353414437. The reversal of 1353414413 is 3144143531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 209757289 + 1143657124 = 14483^2 + 33818^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1353414413 - 210 = 1353413389 is a prime.

It is a super-2 number, since 2×13534144132 = 3663461146632269138, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353414473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 981470 + ... + 982847.

It is an arithmetic number, because the mean of its divisors is an integer number (185628051).

Almost surely, 21353414413 is an apocalyptic number.

1353414413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1353414413 is a deficient number, since it is larger than the sum of its proper divisors (131609995).

1353414413 is a wasteful number, since it uses less digits than its factorization.

1353414413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964383.

The product of its digits is 8640, while the sum is 29.

The square root of 1353414413 is about 36788.7810752137. The cubic root of 1353414413 is about 1106.1404284934.

Adding to 1353414413 its reverse (3144143531), we get a palindrome (4497557944).

The spelling of 1353414413 in words is "one billion, three hundred fifty-three million, four hundred fourteen thousand, four hundred thirteen".

Divisors: 1 13 53 689 1964317 25536121 104108801 1353414413