Search a number
-
+
2334122134320 = 24359725508893
BaseRepresentation
bin100001111101110100100…
…001010100101100110000
322021010202222120220022210
4201331310201110230300
5301220240231244240
64544140401532120
7330430502533524
oct41756441245460
98233688526283
102334122134320
1181a994104699
12318450944040
1313c15076ccb2
1480d876a3d84
1540ab1113780
hex21f74854b30

2334122134320 has 40 divisors (see below), whose sum is σ = 7235778617136. Its totient is φ = 622432569088.

The previous prime is 2334122134297. The next prime is 2334122134381. The reversal of 2334122134320 is 234312214332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×23341221343202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 4862754207 + ... + 4862754686.

Almost surely, 22334122134320 is an apocalyptic number.

2334122134320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2334122134320 is an abundant number, since it is smaller than the sum of its proper divisors (4901656482816).

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

2334122134320 is a wasteful number, since it uses less digits than its factorization.

2334122134320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725508909 (or 9725508903 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2334122134320 its reverse (234312214332), we get a palindrome (2568434348652).

The spelling of 2334122134320 in words is "two trillion, three hundred thirty-four billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 9725508893 19451017786 29176526679 38902035572 48627544465 58353053358 77804071144 97255088930 116706106716 145882633395 155608142288 194510177860 233412213432 291765266790 389020355720 466824426864 583530533580 778040711440 1167061067160 2334122134320