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43040011300 = 2252111328110711
BaseRepresentation
bin101000000101011000…
…100111010000100100
311010002112101010000121
4220011120213100210
51201121220330200
631434452451324
73052400026336
oct500530472044
9133075333017
1043040011300
1117286a67580
128412019b44
13409bb35810
14212422b456
1511bd830e1a
hexa05627424

43040011300 has 144 divisors (see below), whose sum is σ = 110125701504. Its totient is φ = 14394240000.

The previous prime is 43040011271. The next prime is 43040011351. The reversal of 43040011300 is 311004034.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4012945 + ... + 4023655.

It is an arithmetic number, because the mean of its divisors is an integer number (764761816).

Almost surely, 243040011300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43040011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062850752).

43040011300 is an abundant number, since it is smaller than the sum of its proper divisors (67085690204).

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

43040011300 is a wasteful number, since it uses less digits than its factorization.

43040011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11030 (or 11023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 43040011300 its reverse (311004034), we get a palindrome (43351015334).

The spelling of 43040011300 in words is "forty-three billion, forty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 281 286 325 550 562 572 650 715 1100 1124 1300 1405 1430 2810 2860 3091 3575 3653 5620 6182 7025 7150 7306 10711 12364 14050 14300 14612 15455 18265 21422 28100 30910 36530 40183 42844 53555 61820 73060 77275 80366 91325 107110 117821 139243 154550 160732 182650 200915 214220 235642 267775 278486 309100 365300 401830 471284 535550 556972 589105 696215 803660 1004575 1071100 1178210 1392430 1531673 2009150 2356420 2784860 2945525 3009791 3063346 3481075 4018300 5891050 6019582 6126692 6962150 7658365 11782100 12039164 13924300 15048955 15316730 30097910 30633460 33107701 38291825 39127283 60195820 66215402 75244775 76583650 78254566 132430804 150489550 153167300 156509132 165538505 195636415 300979100 331077010 391272830 430400113 662154020 782545660 827692525 860800226 978182075 1655385050 1721600452 1956364150 2152000565 3310770100 3912728300 4304001130 8608002260 10760002825 21520005650 43040011300