Search a number
-
+
10404123044320 = 255233303785577
BaseRepresentation
bin1001011101100110011000…
…0011101110100111100000
31100211121212020000222100101
42113121212003232213200
52330430120444404240
634043331012232144
72122446603502555
oct227314603564740
940747766028311
1010404123044320
113351400250665
12120047b90b654
135a6148a39a55
1427d7c2b14a2c
1513097d7b939a
hex976660ee9e0

10404123044320 has 96 divisors (see below), whose sum is σ = 25649501145408. Its totient is φ = 3980540940288.

The previous prime is 10404123044303. The next prime is 10404123044339. The reversal of 10404123044320 is 2344032140401.

10404123044320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121533372 + ... + 121618948.

It is an arithmetic number, because the mean of its divisors is an integer number (267182303598).

Almost surely, 210404123044320 is an apocalyptic number.

10404123044320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404123044320 is an abundant number, since it is smaller than the sum of its proper divisors (15245378101088).

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

10404123044320 is a wasteful number, since it uses less digits than its factorization.

10404123044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118652 (or 118644 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10404123044320 its reverse (2344032140401), we get a palindrome (12748155184721).

The spelling of 10404123044320 in words is "ten trillion, four hundred four billion, one hundred twenty-three million, forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 33037 66074 85577 132148 165185 171154 264296 330370 342308 427885 528592 660740 684616 759851 855770 1057184 1321480 1369232 1519702 1711540 1968271 2642960 2738464 3039404 3423080 3799255 3936542 5285920 6078808 6846160 7598510 7873084 9841355 12157616 13692320 15197020 15746168 19682710 24315232 30394040 31492336 39365420 60788080 62984672 78730840 121576160 157461680 314923360 2827207349 5654414698 11308829396 14136036745 22617658792 28272073490 45235317584 56544146980 65025769027 90470635168 113088293960 130051538054 226176587920 260103076108 325128845135 452353175840 520206152216 650257690270 1040412304432 1300515380540 2080824608864 2601030761080 5202061522160 10404123044320