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243404145000 = 2332545408981
BaseRepresentation
bin1110001010110000000…
…1001000000101101000
3212021021020211201001100
43202230001020011220
512441442430120000
6303452431321400
723404532044542
oct3425401100550
9767236751040
10243404145000
1194255326815
123b20b680260
1319c50719103
14bad0818692
1564e8c31a00
hex38ac048168

243404145000 has 120 divisors (see below), whose sum is σ = 823760913690. Its totient is φ = 64907760000.

The previous prime is 243404144981. The next prime is 243404145001. The reversal of 243404145000 is 541404342.

It is a happy number.

243404145000 is a `hidden beast` number, since 243 + 4 + 0 + 414 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 18255792996 + 225148352004 = 135114^2 + 474498^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (243404145001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2659491 + ... + 2749490.

Almost surely, 2243404145000 is an apocalyptic number.

243404145000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243404145000 is an abundant number, since it is smaller than the sum of its proper divisors (580356768690).

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

243404145000 is a wasteful number, since it uses less digits than its factorization.

243404145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409013 (or 5408991 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 243404145000 its reverse (541404342), we get a palindrome (243945549342).

The spelling of 243404145000 in words is "two hundred forty-three billion, four hundred four million, one hundred forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 5408981 10817962 16226943 21635924 27044905 32453886 43271848 48680829 54089810 64907772 81134715 97361658 108179620 129815544 135224525 162269430 194723316 216359240 243404145 270449050 324538860 389446632 405673575 486808290 540898100 649077720 676122625 811347150 973616580 1081796200 1217020725 1352245250 1622694300 1947233160 2028367875 2434041450 2704490500 3245388600 3380613125 4056735750 4868082900 5408981000 6085103625 6761226250 8113471500 9736165800 10141839375 12170207250 13522452500 16226943000 20283678750 24340414500 27044905000 30425518125 40567357500 48680829000 60851036250 81134715000 121702072500 243404145000