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1324971316144 = 24723514352219
BaseRepresentation
bin10011010001111110011…
…100011101001110110000
311200122222112021202012001
4103101332130131032300
5133202020124104034
62452403341343344
7164504011235350
oct23217634351660
94618875252161
101324971316144
11470a0a847653
12194956267b54
1397c376c9a58
14481b3bc6b60
15246eb32da14
hex1347e71d3b0

1324971316144 has 40 divisors (see below), whose sum is σ = 3061424413440. Its totient is φ = 543155942208.

The previous prime is 1324971316133. The next prime is 1324971316147. The reversal of 1324971316144 is 4416131794231.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 1324971316094 and 1324971316103.

It is not an unprimeable number, because it can be changed into a prime (1324971316147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257173534 + ... + 257178685.

It is an arithmetic number, because the mean of its divisors is an integer number (76535610336).

Almost surely, 21324971316144 is an apocalyptic number.

1324971316144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1324971316144 is an abundant number, since it is smaller than the sum of its proper divisors (1736453097296).

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

1324971316144 is a wasteful number, since it uses less digits than its factorization.

1324971316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514352257 (or 514352251 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The spelling of 1324971316144 in words is "one trillion, three hundred twenty-four billion, nine hundred seventy-one million, three hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 514352219 1028704438 2057408876 3600465533 4114817752 7200931066 8229635504 11830101037 14401862132 23660202074 28803724264 47320404148 57607448528 82810707259 94640808296 165621414518 189281616592 331242829036 662485658072 1324971316144