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2434403510112 = 25372811638123
BaseRepresentation
bin100011011011001101110…
…000011010011101100000
322121201121202200121121010
4203123031300122131200
5304341124244310422
65102203255500520
7340610534262600
oct43331560323540
98551552617533
102434403510112
11859474353572
12333978987740
13148742659392
1485b7bc4ac00
15434cedcdb0c
hex236cdc1a760

2434403510112 has 144 divisors (see below), whose sum is σ = 7442802666432. Its totient is φ = 694685134080.

The previous prime is 2434403510111. The next prime is 2434403510167. The reversal of 2434403510112 is 2110153044342.

It is a self number, because there is not a number n which added to its sum of digits gives 2434403510112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434403510111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495883 + ... + 4134005.

It is an arithmetic number, because the mean of its divisors is an integer number (51686129628).

Almost surely, 22434403510112 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 2434403510112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721401333216).

2434403510112 is an abundant number, since it is smaller than the sum of its proper divisors (5008399156320).

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

2434403510112 is a wasteful number, since it uses less digits than its factorization.

2434403510112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638961 (or 638946 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2434403510112 its reverse (2110153044342), we get a palindrome (4544556554454).

The spelling of 2434403510112 in words is "two trillion, four hundred thirty-four billion, four hundred three million, five hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 811 1176 1568 1622 2352 2433 3244 4704 4866 5677 6488 9732 11354 12976 17031 19464 22708 25952 34062 38928 39739 45416 68124 77856 79478 90832 119217 136248 158956 181664 238434 272496 317912 476868 544992 635824 638123 953736 1271648 1276246 1907472 1914369 2552492 3814944 3828738 4466861 5104984 7657476 8933722 10209968 13400583 15314952 17867444 20419936 26801166 30629904 31268027 35734888 53602332 61259808 62536054 71469776 93804081 107204664 125072108 142939552 187608162 214409328 250144216 375216324 428818656 500288432 517517753 750432648 1000576864 1035035506 1500865296 1552553259 2070071012 3001730592 3105106518 3622624271 4140142024 6210213036 7245248542 8280284048 10867872813 12420426072 14490497084 16560568096 21735745626 24840852144 25358369897 28980994168 43471491252 49681704288 50716739794 57961988336 76075109691 86942982504 101433479588 115923976672 152150219382 173885965008 202866959176 304300438764 347771930016 405733918352 608600877528 811467836704 1217201755056 2434403510112