Search a number
-
+
2113144377160 = 235414813267713
BaseRepresentation
bin11110110000000001001…
…110000100111101001000
321111000101122221201220111
4132300001032010331020
5234110204430032120
64254433133404104
7305445454561615
oct36600116047510
97430348851814
102113144377160
117451a7a03003
122a165b939634
1312436532627b
14743c34dd50c
1539e7b18775a
hex1ec01384f48

2113144377160 has 64 divisors (see below), whose sum is σ = 4871570240880. Its totient is φ = 824467292160.

The previous prime is 2113144377133. The next prime is 2113144377173. The reversal of 2113144377160 is 617734413112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 191355503364 + 1921788873796 = 437442^2 + 1386286^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7759464 + ... + 8027176.

Almost surely, 22113144377160 is an apocalyptic number.

2113144377160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113144377160 is an abundant number, since it is smaller than the sum of its proper divisors (2758425863720).

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

2113144377160 is a wasteful number, since it uses less digits than its factorization.

2113144377160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272578 (or 272574 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 2113144377160 in words is "two trillion, one hundred thirteen billion, one hundred forty-four million, three hundred seventy-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 4813 9626 19252 24065 38504 48130 96260 192520 197333 267713 394666 535426 789332 986665 1070852 1338565 1578664 1973330 2141704 2677130 3946660 5354260 7893320 10708520 10976233 21952466 43904932 54881165 87809864 109762330 219524660 439049320 1288502669 2577005338 5154010676 6442513345 10308021352 12885026690 25770053380 51540106760 52828609429 105657218858 211314437716 264143047145 422628875432 528286094290 1056572188580 2113144377160