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40243004100 = 223252133439573
BaseRepresentation
bin100101011110101010…
…111000001011000100
310211212121022102110100
4211132222320023010
51124404202112400
630253135124100
72623154614365
oct453652701304
9124777272410
1040243004100
1116081143682
127971373630
133a44515880
141d3a985b6c
1510a7ed8100
hex95eab82c4

40243004100 has 108 divisors (see below), whose sum is σ = 135842535556. Its totient is φ = 9905967360.

The previous prime is 40243004099. The next prime is 40243004101. The reversal of 40243004100 is 140034204.

It is an interprime number because it is at equal distance from previous prime (40243004099) and next prime (40243004101).

It can be written as a sum of positive squares in 6 ways, for example, as 6227103744 + 34015900356 = 78912^2 + 184434^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40243004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1708087 + ... + 1731486.

Almost surely, 240243004100 is an apocalyptic number.

It is an amenable number.

40243004100 is an abundant number, since it is smaller than the sum of its proper divisors (95599531456).

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

40243004100 is a wasteful number, since it uses less digits than its factorization.

40243004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439606 (or 3439596 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40243004100 its reverse (140034204), we get a palindrome (40383038304).

The spelling of 40243004100 in words is "forty billion, two hundred forty-three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 3439573 6879146 10318719 13758292 17197865 20637438 30956157 34395730 41274876 44714449 51593595 61912314 68791460 85989325 89428898 103187190 123824628 134143347 154780785 171978650 178857796 206374380 223572245 257967975 268286694 309561570 343957300 402430041 447144490 515935950 536573388 619123140 670716735 773903925 804860082 894288980 1031871900 1117861225 1341433470 1547807850 1609720164 2012150205 2235722450 2682866940 3095615700 3353583675 4024300410 4471444900 6707167350 8048600820 10060751025 13414334700 20121502050 40243004100