Search a number
-
+
1035241343440 = 24529432241333
BaseRepresentation
bin11110001000010010011…
…00010100100111010000
310122222010202020011101021
433010021030110213100
5113430133240442230
62111325554445224
7134536150141363
oct17041114244720
93588122204337
101035241343440
1136a052827917
12148778293814
13768134c0995
143816aa180da
151bde05bac7a
hexf1093149d0

1035241343440 has 120 divisors (see below), whose sum is σ = 2549196561960. Its totient is φ = 390517650432.

The previous prime is 1035241343401. The next prime is 1035241343441. The reversal of 1035241343440 is 443431425301.

It can be written as a sum of positive squares in 4 ways, for example, as 142276822416 + 892964521024 = 377196^2 + 944968^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1035241343396 and 1035241343405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035241343441) 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, 4169014 + ... + 4410346.

It is an arithmetic number, because the mean of its divisors is an integer number (21243304683).

Almost surely, 21035241343440 is an apocalyptic number.

1035241343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035241343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274598280980).

1035241343440 is an abundant number, since it is smaller than the sum of its proper divisors (1513955218520).

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

1035241343440 is a wasteful number, since it uses less digits than its factorization.

1035241343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241461 (or 241412 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 1035241343440 its reverse (443431425301), we get a palindrome (1478672768741).

The spelling of 1035241343440 in words is "one trillion, thirty-five billion, two hundred forty-one million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 43 58 80 86 116 145 172 215 232 290 344 430 464 580 688 860 1160 1247 1720 1849 2320 2494 3440 3698 4988 6235 7396 9245 9976 12470 14792 18490 19952 24940 29584 36980 49880 53621 73960 99760 107242 147920 214484 241333 268105 428968 482666 536210 857936 965332 1072420 1206665 1930664 2144840 2413330 3861328 4289680 4826660 6998657 9653320 10377319 13997314 19306640 20754638 27994628 34993285 41509276 51886595 55989256 69986570 83018552 103773190 111978512 139973140 166037104 207546380 279946280 300942251 415092760 446224717 559892560 601884502 830185520 892449434 1203769004 1504711255 1784898868 2231123585 2407538008 3009422510 3569797736 4462247170 4815076016 6018845020 7139595472 8924494340 12037690040 12940516793 17848988680 24075380080 25881033586 35697977360 51762067172 64702583965 103524134344 129405167930 207048268688 258810335860 517620671720 1035241343440