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1413413001 = 32711131511039
BaseRepresentation
bin101010000111110…
…1111100010001001
310122111120211010200
41110033233202021
510343313204001
6352130202413
750011545420
oct12417574211
93574524120
101413413001
11665920120
12335423409
13196a96970
14d5a042b7
1584144086
hex543ef889

1413413001 has 96 divisors (see below), whose sum is σ = 2761973760. Its totient is φ = 672624000.

The previous prime is 1413412993. The next prime is 1413413011. The reversal of 1413413001 is 1003143141.

1413413001 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1413413001 - 23 = 1413412993 is a prime.

It is a super-2 number, since 2×14134130012 = 3995472622791652002, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1413413011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1359840 + ... + 1360878.

It is an arithmetic number, because the mean of its divisors is an integer number (28770560).

Almost surely, 21413413001 is an apocalyptic number.

1413413001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1413413001 is a deficient number, since it is larger than the sum of its proper divisors (1348560759).

1413413001 is a wasteful number, since it uses less digits than its factorization.

1413413001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1413413001 is about 37595.3853684199. The cubic root of 1413413001 is about 1122.2502063367.

Adding to 1413413001 its reverse (1003143141), we get a palindrome (2416556142).

It can be divided in two parts, 1413 and 413001, that added together give a palindrome (414414).

The spelling of 1413413001 in words is "one billion, four hundred thirteen million, four hundred thirteen thousand, one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 151 231 273 429 453 693 819 1001 1039 1057 1287 1359 1661 1963 3003 3117 3171 4983 5889 7273 9009 9351 9513 11429 11627 13507 13741 14949 17667 21593 21819 34287 34881 40521 41223 64779 65457 80003 94549 102861 104643 121563 123669 148577 151151 156889 194337 240009 283647 445731 453453 470667 720027 850941 1040039 1098223 1337193 1360359 1412001 1725779 2039557 3120117 3294669 5177337 6118671 9360351 9884007 12080453 14276899 15532011 18356013 22435127 36241359 42830697 67305381 108724077 128492091 157045889 201916143 471137667 1413413001