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2243340433314 = 2322937971197433
BaseRepresentation
bin100000101001010001100…
…000100111011110100010
321221110110020210200000100
4200221101200213132202
5243223330122331224
64434324255003230
7321035032026351
oct40512140473642
97843406720010
102243340433314
11795439211012
12302936209516
13133713a03c56
147a814a41998
153d54b326ac9
hex20a518277a2

2243340433314 has 96 divisors (see below), whose sum is σ = 5217315732720. Its totient is φ = 695238598656.

The previous prime is 2243340433247. The next prime is 2243340433403. The reversal of 2243340433314 is 4133340433422.

2243340433314 is a `hidden beast` number, since 2 + 2 + 4 + 334 + 0 + 4 + 3 + 3 + 314 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2065270781025 + 178069652289 = 1437105^2 + 421983^2 .

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 47 ways as a sum of consecutive naturals, for example, 1274742 + ... + 2472174.

Almost surely, 22243340433314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243340433314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608657866360).

2243340433314 is an abundant number, since it is smaller than the sum of its proper divisors (2973975299406).

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

2243340433314 is a wasteful number, since it uses less digits than its factorization.

2243340433314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197604 (or 1197601 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 2243340433314 its reverse (4133340433422), we get a palindrome (6376680866736).

The spelling of 2243340433314 in words is "two trillion, two hundred forty-three billion, three hundred forty million, four hundred thirty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 97 111 174 194 222 261 291 333 522 582 666 873 1073 1746 2146 2813 3219 3589 5626 6438 7178 8439 9657 10767 16878 19314 21534 25317 32301 50634 64602 104081 208162 312243 624486 936729 1197433 1873458 2394866 3592299 7184598 10776897 21553794 34725557 44305021 69451114 88610042 104176671 116151001 132915063 208353342 232302002 265830126 312530013 348453003 398745189 625060026 696906006 797490378 1045359009 1284845609 2090718018 2569691218 3368379029 3854536827 4297587037 6736758058 7709073654 8595174074 10105137087 11563610481 12892761111 20210274174 23127220962 25785522222 30315411261 38678283333 60630822522 77356566666 124630024073 249260048146 373890072219 747780144438 1121670216657 2243340433314