Search a number
-
+
1324324501040 = 24583428346567
BaseRepresentation
bin10011010001010111111…
…001000011011000110000
311200121022110012010200002
4103101113321003120300
5133144204033013130
62452215234045132
7164451665345132
oct23212771033060
94617273163602
101324324501040
11470708723912
121947b57197a8
1397b636bc618
1448151d35052
15246ae664b45
hex13457e43630

1324324501040 has 80 divisors (see below), whose sum is σ = 3116946002688. Its totient is φ = 523214085888.

The previous prime is 1324324501039. The next prime is 1324324501057. The reversal of 1324324501040 is 401054234231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13243245010402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1324324500994 and 1324324501012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28415837 + ... + 28462403.

Almost surely, 21324324501040 is an apocalyptic number.

1324324501040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324324501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558473001344).

1324324501040 is an abundant number, since it is smaller than the sum of its proper divisors (1792621501648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1324324501040 is a wasteful number, since it uses less digits than its factorization.

1324324501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50946 (or 50940 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 1324324501040 its reverse (401054234231), we get a palindrome (1725378735271).

The spelling of 1324324501040 in words is "one trillion, three hundred twenty-four billion, three hundred twenty-four million, five hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 664 830 1328 1660 3320 4283 6640 8566 17132 21415 34264 42830 46567 68528 85660 93134 171320 186268 232835 342640 355489 372536 465670 710978 745072 931340 1421956 1777445 1862680 2843912 3554890 3725360 3865061 5687824 7109780 7730122 14219560 15460244 19325305 28439120 30920488 38650610 61840976 77301220 154602440 199446461 309204880 398892922 797785844 997232305 1595571688 1994464610 3191143376 3988929220 7977858440 15955716880 16554056263 33108112526 66216225052 82770281315 132432450104 165540562630 264864900208 331081125260 662162250520 1324324501040