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1413400131 = 331113536907
BaseRepresentation
bin101010000111110…
…1100011001000011
310122111120011111000
41110033230121003
510343312301011
6352130023043
750011463043
oct12417543103
93574504430
101413400131
11665911490
12335417a83
13196a90b50
14d59dd723
1584140356
hex543ec643

1413400131 has 64 divisors (see below), whose sum is σ = 2506775040. Its totient is φ = 775681920.

The previous prime is 1413400123. The next prime is 1413400141. The reversal of 1413400131 is 1310043141.

It is not a de Polignac number, because 1413400131 - 23 = 1413400123 is a prime.

It is a super-2 number, since 2×14134001312 = 3995399860621634322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1413400141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201180 + ... + 208086.

It is an arithmetic number, because the mean of its divisors is an integer number (39168360).

Almost surely, 21413400131 is an apocalyptic number.

1413400131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1413400131 is a deficient number, since it is larger than the sum of its proper divisors (1093374909).

1413400131 is a wasteful number, since it uses less digits than its factorization.

1413400131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6987 counting only the distinct ones).

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

The square root of 1413400131 is about 37595.2142034063. The cubic root of 1413400131 is about 1122.2468000655.

Adding to 1413400131 its reverse (1310043141), we get a palindrome (2723443272).

The spelling of 1413400131 in words is "one billion, four hundred thirteen million, four hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 39 53 99 117 143 159 297 351 429 477 583 689 1287 1431 1749 2067 3861 5247 6201 6907 7579 15741 18603 20721 22737 62163 68211 75977 89791 186489 204633 227931 269373 366071 683793 808119 987701 1098213 2051379 2424357 2963103 3294639 4026781 4758923 8889309 9883917 12080343 14276769 26667927 36241029 42830307 52348153 108723087 128490921 157044459 471133377 1413400131