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143936013321 = 321724321732
BaseRepresentation
bin1000011000001101000…
…0010100010000001001
3111202112011000001222100
42012003100110100021
54324240104411241
6150042344144013
713253603632542
oct2060320242011
9452464001870
10143936013321
1156052144211
1223a8ba68009
131075b16bc69
146d762874c9
153b265579b6
hex2183414409

143936013321 has 81 divisors (see below), whose sum is σ = 227427051189. Its totient is φ = 87702596352.

The previous prime is 143936013271. The next prime is 143936013329. The reversal of 143936013321 is 123310639341.

It is a happy number.

The square root of 143936013321 is 379389.

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

143936013321 is a `hidden beast` number, since 1 + 43 + 9 + 3 + 601 + 3 + 3 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70549203321 + 73386810000 = 265611^2 + 270900^2 .

It is not a de Polignac number, because 143936013321 - 227 = 143801795593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (143936013329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 831999991 + ... + 832000163.

Almost surely, 2143936013321 is an apocalyptic number.

143936013321 is the 379389-th square number.

143936013321 is the 189695-th centered octagonal number.

It is an amenable number.

143936013321 is a deficient number, since it is larger than the sum of its proper divisors (83491037868).

143936013321 is an equidigital number, since it uses as much as digits as its factorization.

143936013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

Multiplying 143936013321 by its sum of digits (36), we get a square (5181696479556 = 22763342).

The spelling of 143936013321 in words is "one hundred forty-three billion, nine hundred thirty-six million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 9 17 43 51 129 153 173 289 387 519 731 867 1557 1849 2193 2601 2941 5547 6579 7439 8823 12427 16641 22317 26469 29929 31433 37281 49997 66951 89787 94299 111843 126463 149991 269361 282897 319877 379389 449973 508793 534361 959631 1138167 1286947 1526379 1603083 2149871 2878893 3860841 4579137 4809249 5437909 6449613 8649481 11582523 16313727 19348839 21878099 25948443 48941181 55338721 65634297 77845329 92444453 166016163 196902891 277333359 371927683 498048489 832000077 940758257 1115783049 2822274771 3347349147 8466824313 15992890369 47978671107 143936013321