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40864622500 = 22541323112
BaseRepresentation
bin100110000011101110…
…001010011110100100
310220110220222220121001
4212003232022132210
51132142320410000
630434542403044
72644443363052
oct460356123644
9126426886531
1040864622500
1116370017799
127b05590484
133b13240400
141d993591d2
1510e287646a
hex983b8a7a4

40864622500 has 135 divisors (see below), whose sum is σ = 97077732213. Its totient is φ = 15039960000.

The previous prime is 40864622497. The next prime is 40864622507. The reversal of 40864622500 is 522646804.

The square root of 40864622500 is 202150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 40363220836 + 501401664 = 200906^2 + 22392^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40864622500.

It is not an unprimeable number, because it can be changed into a prime (40864622507) 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 44 ways as a sum of consecutive naturals, for example, 131397345 + ... + 131397655.

Almost surely, 240864622500 is an apocalyptic number.

40864622500 is the 202150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40864622500

40864622500 is an abundant number, since it is smaller than the sum of its proper divisors (56213109713).

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

40864622500 is an equidigital number, since it uses as much as digits as its factorization.

40864622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 40864622500 in words is "forty billion, eight hundred sixty-four million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 311 325 338 500 622 625 650 676 845 1244 1250 1300 1555 1625 1690 2500 3110 3250 3380 4043 4225 6220 6500 7775 8086 8125 8450 15550 16172 16250 16900 20215 21125 31100 32500 38875 40430 42250 52559 77750 80860 84500 96721 101075 105118 105625 155500 193442 194375 202150 210236 211250 262795 386884 388750 404300 422500 483605 505375 525590 777500 967210 1010750 1051180 1257373 1313975 1934420 2021500 2418025 2514746 2526875 2627950 4836050 5029492 5053750 5255900 6286865 6569875 9672100 10107500 12090125 12573730 13139750 16345849 24180250 25147460 26279500 31434325 32691698 32849375 48360500 60450625 62868650 65383396 65698750 81729245 120901250 125737300 131397500 157171625 163458490 241802500 314343250 326916980 408646225 628686500 785858125 817292450 1571716250 1634584900 2043231125 3143432500 4086462250 8172924500 10216155625 20432311250 40864622500