Search a number
-
+
1324136601540 = 223257356314453
BaseRepresentation
bin10011010001001100101…
…100010001011111000100
311200120211100121212000100
4103101030230101133010
5133143312432222130
62452144442444100
7164444224256154
oct23211454213704
94616740555010
101324136601540
11470621656175
12194762803630
1397b337b0c9c
1448134dc2764
152469cdeac60
hex1344cb117c4

1324136601540 has 36 divisors (see below), whose sum is σ = 4016547691884. Its totient is φ = 353103093696.

The previous prime is 1324136601509. The next prime is 1324136601607. The reversal of 1324136601540 is 451066314231.

1324136601540 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 3 + 6 + 601 + 5 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 883795530816 + 440341070724 = 940104^2 + 663582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1324136601495 and 1324136601504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3678157047 + ... + 3678157406.

It is an arithmetic number, because the mean of its divisors is an integer number (111570769219).

Almost surely, 21324136601540 is an apocalyptic number.

1324136601540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324136601540 is an abundant number, since it is smaller than the sum of its proper divisors (2692411090344).

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

1324136601540 is a wasteful number, since it uses less digits than its factorization.

1324136601540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7356314468 (or 7356314463 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1324136601540 in words is "one trillion, three hundred twenty-four billion, one hundred thirty-six million, six hundred one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7356314453 14712628906 22068943359 29425257812 36781572265 44137886718 66206830077 73563144530 88275773436 110344716795 132413660154 147126289060 220689433590 264827320308 331034150385 441378867180 662068300770 1324136601540