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1040140304300 = 2252199263353563
BaseRepresentation
bin11110010001011010011…
…00010111111110101100
310200102210011111011022002
433020231030113332230
5114020201404214200
62113500040311432
7135101434465166
oct17105514277654
93612704434262
101040140304300
113711370a36a9
12149704a72578
1377114433aa6
14384b34d7936
151c0ca714bd5
hexf22d317fac

1040140304300 has 144 divisors (see below), whose sum is σ = 2287578585600. Its totient is φ = 410492712960.

The previous prime is 1040140304299. The next prime is 1040140304309. The reversal of 1040140304300 is 34030410401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1040140304309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1847495819 + ... + 1847496381.

It is an arithmetic number, because the mean of its divisors is an integer number (15885962400).

Almost surely, 21040140304300 is an apocalyptic number.

1040140304300 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 1040140304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143789292800).

1040140304300 is an abundant number, since it is smaller than the sum of its proper divisors (1247438281300).

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

1040140304300 is a wasteful number, since it uses less digits than its factorization.

1040140304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1040140304300 its reverse (34030410401), we get a palindrome (1074170714701).

The spelling of 1040140304300 in words is "one trillion, forty billion, one hundred forty million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 263 353 398 526 563 706 796 995 1052 1126 1315 1412 1765 1990 2252 2630 2815 3530 3980 4975 5260 5630 6575 7060 8825 9950 11260 13150 14075 17650 19900 26300 28150 35300 52337 56300 70247 92839 104674 112037 140494 148069 185678 198739 209348 224074 261685 280988 296138 351235 371356 397478 448148 464195 523370 560185 592276 702470 740345 794956 928390 993695 1046740 1120370 1308425 1404940 1480690 1756175 1856780 1987390 2240740 2320975 2616850 2800925 2961380 3512350 3701725 3974780 4641950 4968475 5233700 5601850 7024700 7403450 9283900 9936950 11203700 14806900 18474961 19873900 29465731 36949922 39549061 52268357 58931462 73899844 79098122 92374805 104536714 117862924 147328655 158196244 184749610 197745305 209073428 261341785 294657310 369499220 395490610 461874025 522683570 589314620 736643275 790981220 923748050 988726525 1045367140 1306708925 1473286550 1847496100 1977453050 2613417850 2946573100 3954906100 5226835700 10401403043 20802806086 41605612172 52007015215 104014030430 208028060860 260035076075 520070152150 1040140304300