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414113141421 = 32779505916447
BaseRepresentation
bin1100000011010110001…
…00010001001010101101
31110120220020221020102100
412001223010101022231
523241100431011141
6514124013445313
741630052423630
oct6015304211255
91416806836370
10414113141421
1114a696088441
12683117a0839
13300875123b5
14160866cbc17
15ab8a92a0b6
hex606b1112ad

414113141421 has 48 divisors (see below), whose sum is σ = 692447641600. Its totient is φ = 233580301344.

The previous prime is 414113141411. The next prime is 414113141461. The reversal of 414113141421 is 124141311414.

It is not a de Polignac number, because 414113141421 - 223 = 414104752813 is a prime.

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 (414113141411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25170420 + ... + 25186866.

Almost surely, 2414113141421 is an apocalyptic number.

It is an amenable number.

414113141421 is a deficient number, since it is larger than the sum of its proper divisors (278334500179).

414113141421 is a wasteful number, since it uses less digits than its factorization.

414113141421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21598 (or 21595 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 414113141421 its reverse (124141311414), we get a palindrome (538254452835).

The spelling of 414113141421 in words is "four hundred fourteen billion, one hundred thirteen million, one hundred forty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 63 79 237 553 711 1659 4977 5059 15177 16447 35413 45531 49341 106239 115129 148023 318717 345387 399661 1036161 1198983 1299313 2797627 3596949 3897939 8392881 9095191 11693817 25178643 27285573 81856719 83205373 249616119 582437611 748848357 1747312833 5241938499 6573224467 19719673401 46012571269 59159020203 138037713807 414113141421