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40244433300 = 223252278916033
BaseRepresentation
bin100101011110110000…
…010101000110010100
310211212201000000221200
4211132300111012110
51124410033331200
630253225512500
72623203016221
oct453660250624
9124781000850
1040244433300
1116081a2a435
127971942730
133a448c6256
141d3ac38948
1510a81bb800
hex95ec15194

40244433300 has 108 divisors (see below), whose sum is σ = 126197040060. Its totient is φ = 10727331840.

The previous prime is 40244433247. The next prime is 40244433323. The reversal of 40244433300 is 333444204.

It can be written as a sum of positive squares in 6 ways, for example, as 7354434564 + 32889998736 = 85758^2 + 181356^2 .

It is a super-2 number, since 2×402444333002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2502084 + ... + 2518116.

Almost surely, 240244433300 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 40244433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63098520030).

40244433300 is an abundant number, since it is smaller than the sum of its proper divisors (85952606760).

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

40244433300 is a wasteful number, since it uses less digits than its factorization.

40244433300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18832 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40244433300 its reverse (333444204), we get a palindrome (40577877504).

The spelling of 40244433300 in words is "forty billion, two hundred forty-four million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2789 5578 8367 11156 13945 16033 16734 25101 27890 32066 33468 41835 48099 50202 55780 64132 69725 80165 83670 96198 100404 125505 139450 144297 160330 167340 192396 209175 240495 251010 278900 288594 320660 400825 418350 480990 502020 577188 627525 721485 801650 836700 961980 1202475 1255050 1442970 1603300 2404950 2510100 2885940 3607425 4809900 7214850 14429700 44716037 89432074 134148111 178864148 223580185 268296222 402444333 447160370 536592444 670740555 804888666 894320740 1117900925 1341481110 1609777332 2012221665 2235801850 2682962220 3353702775 4024443330 4471603700 6707405550 8048886660 10061108325 13414811100 20122216650 40244433300