Search a number
-
+
1034023224234 = 2371113910318913
BaseRepresentation
bin11110000110000001001…
…01100100001110101010
310122211222212010021222010
433003000211210032222
5113420134421133414
62111005042140350
7134464026246420
oct17030045441652
93584885107863
101034023224234
11369588175930
121484983516b6
137667b0241a0
1438092d2d110
151bd6d6a1959
hexf0c09643aa

1034023224234 has 128 divisors (see below), whose sum is σ = 2777129607168. Its totient is φ = 247877314560.

The previous prime is 1034023224229. The next prime is 1034023224239. The reversal of 1034023224234 is 4324223204301.

It is an interprime number because it is at equal distance from previous prime (1034023224229) and next prime (1034023224239).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1034023224239) 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 63 ways as a sum of consecutive naturals, for example, 54663162 + ... + 54682074.

It is an arithmetic number, because the mean of its divisors is an integer number (21696325056).

Almost surely, 21034023224234 is an apocalyptic number.

1034023224234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034023224234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388564803584).

1034023224234 is an abundant number, since it is smaller than the sum of its proper divisors (1743106382934).

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

1034023224234 is a wasteful number, since it uses less digits than its factorization.

1034023224234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28052.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1034023224234 its reverse (4324223204301), we get a palindrome (5358246428535).

The spelling of 1034023224234 in words is "one trillion, thirty-four billion, twenty-three million, two hundred twenty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 6006 9103 18206 18913 27309 37826 54618 56739 63721 100133 113478 118339 127442 132391 191163 200266 208043 236678 245869 264782 300399 355017 382326 397173 416086 491738 600798 624129 700931 710034 737607 794346 828373 1248258 1301729 1401862 1456301 1475214 1656746 1721083 2102793 2485119 2603458 2704559 2912602 3442166 3905187 4205586 4368903 4970238 5163249 5409118 7810374 8113677 8737806 9112103 10326498 16227354 18224206 18931913 27336309 37863826 54672618 56795739 113591478 172165039 344330078 516495117 1032990234 1205155273 1893815429 2238145507 2410310546 3615465819 3787630858 4476291014 5681446287 6714436521 7230931638 11362892574 13256708003 13428873042 15667018549 24619600577 26513416006 31334037098 39770124009 47001055647 49239201154 73858801731 79540248018 94002111294 147717603462 172337204039 344674408078 517011612117 1034023224234