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1320434133424 = 24721684227211
BaseRepresentation
bin10011001101110000000…
…000011110100110110000
311200020021022202222120121
4103031300000132212300
5133113222114232144
62450333222020024
7164253405642400
oct23156000364660
94606238688517
101320434133424
11469aa171006a
12193aaa877614
1397693704b53
1447ca339c800
1524532d48384
hex1337001e9b0

1320434133424 has 30 divisors (see below), whose sum is σ = 2976029483604. Its totient is φ = 565900342560.

The previous prime is 1320434133373. The next prime is 1320434133427. The reversal of 1320434133424 is 4243314340231.

It is a super-2 number, since 2×13204341334242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320434133424.

It is not an unprimeable number, because it can be changed into a prime (1320434133427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 842112822 + ... + 842114389.

Almost surely, 21320434133424 is an apocalyptic number.

1320434133424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1320434133424 is an abundant number, since it is smaller than the sum of its proper divisors (1655595350180).

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

1320434133424 is a wasteful number, since it uses less digits than its factorization.

1320434133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684227233 (or 1684227220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 1320434133424 its reverse (4243314340231), we get a palindrome (5563748473655).

The spelling of 1320434133424 in words is "one trillion, three hundred twenty billion, four hundred thirty-four million, one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1684227211 3368454422 6736908844 11789590477 13473817688 23579180954 26947635376 47158361908 82527133339 94316723816 165054266678 188633447632 330108533356 660217066712 1320434133424