Search a number
-
+
1043105354320 = 24589146503561
BaseRepresentation
bin11110010110111011110…
…11001001001001010000
310200201102210202022021111
433023131323021021100
5114042234432314240
62115110155503104
7135235060134661
oct17133573111120
93621383668244
101043105354320
11372418862667
1214a1b1a57a94
13774977cc263
14386b5203368
151c200ba31ea
hexf2ddec9250

1043105354320 has 40 divisors (see below), whose sum is σ = 2452469627880. Its totient is φ = 412554024960.

The previous prime is 1043105354309. The next prime is 1043105354341. The reversal of 1043105354320 is 234535013401.

It can be written as a sum of positive squares in 4 ways, for example, as 97901403664 + 945203950656 = 312892^2 + 972216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10431053543202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 73244661 + ... + 73258900.

It is an arithmetic number, because the mean of its divisors is an integer number (61311740697).

Almost surely, 21043105354320 is an apocalyptic number.

1043105354320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1043105354320 is an abundant number, since it is smaller than the sum of its proper divisors (1409364273560).

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

1043105354320 is a wasteful number, since it uses less digits than its factorization.

1043105354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146503663 (or 146503657 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The spelling of 1043105354320 in words is "one trillion, forty-three billion, one hundred five million, three hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 146503561 293007122 586014244 732517805 1172028488 1465035610 2344056976 2930071220 5860142440 11720284880 13038816929 26077633858 52155267716 65194084645 104310535432 130388169290 208621070864 260776338580 521552677160 1043105354320