Base | Representation |
---|---|
bin | 11110000101101011001001… |
… | …100101000010111010100000 |
3 | 122100112202021112000120100100 |
4 | 132011223021211002322200 |
5 | 114321104023011241230 |
6 | 1145240100545022400 |
7 | 36605423402366406 |
oct | 3605531145027240 |
9 | 570482245016310 |
10 | 132331324321440 |
11 | 3918a443788672 |
12 | 12a12844924a00 |
13 | 58aba374b25aa |
14 | 2496c2804b476 |
15 | 1047394c55660 |
hex | 785ac9942ea0 |
132331324321440 has 144 divisors (see below), whose sum is σ = 478144211644008. Its totient is φ = 33212567666688.
The previous prime is 132331324321439. The next prime is 132331324321487. The reversal of 132331324321440 is 44123423133231.
132331324321440 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 3 + 1 + 324 + 321 + 4 + 4 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 128373341398416 + 3957982923024 = 11330196^2 + 1989468^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1323313243214402 (a number of 29 digits) contains 22 as substring.
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 = 132331324321395 and 132331324321404.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702821197 + ... + 2702870156.
Almost surely, 2132331324321440 is an apocalyptic number.
132331324321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132331324321440 is an abundant number, since it is smaller than the sum of its proper divisors (345812887322568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132331324321440 is a wasteful number, since it uses less digits than its factorization.
132331324321440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5405691391 (or 5405691380 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 36.
Adding to 132331324321440 its reverse (44123423133231), we get a palindrome (176454747454671).
The spelling of 132331324321440 in words is "one hundred thirty-two trillion, three hundred thirty-one billion, three hundred twenty-four million, three hundred twenty-one thousand, four hundred forty".
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