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2114258944 = 21171391061
BaseRepresentation
bin111111000000101…
…0000100000000000
312110100100111000211
41332001100200000
513312222241234
6545443523504
7103251622150
oct17601204000
95410314024
102114258944
11995498046
124b0089594
132790410c5
14160b1c760
15c5932164
hex7e050800

2114258944 has 96 divisors (see below), whose sum is σ = 4870756800. Its totient is φ = 898744320.

The previous prime is 2114258933. The next prime is 2114258989. The reversal of 2114258944 is 4498524112.

It is a junction number, because it is equal to n+sod(n) for n = 2114258897 and 2114258906.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1992174 + ... + 1993234.

It is an arithmetic number, because the mean of its divisors is an integer number (50737050).

Almost surely, 22114258944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435378400).

2114258944 is an abundant number, since it is smaller than the sum of its proper divisors (2756497856).

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

2114258944 is a wasteful number, since it uses less digits than its factorization.

2114258944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1209 counting only the distinct ones).

The product of its digits is 92160, while the sum is 40.

The square root of 2114258944 is about 45981.0715838594. The cubic root of 2114258944 is about 1283.4709958058.

The spelling of 2114258944 in words is "two billion, one hundred fourteen million, two hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 256 278 448 512 556 896 973 1024 1061 1112 1792 1946 2048 2122 2224 3584 3892 4244 4448 7168 7427 7784 8488 8896 14336 14854 15568 16976 17792 29708 31136 33952 35584 59416 62272 67904 71168 118832 124544 135808 142336 147479 237664 249088 271616 284672 294958 475328 498176 543232 589916 950656 996352 1032353 1086464 1179832 1901312 1992704 2064706 2172928 2359664 3802624 4129412 4719328 7605248 8258824 9438656 15210496 16517648 18877312 33035296 37754624 66070592 75509248 132141184 151018496 264282368 302036992 528564736 1057129472 2114258944