Search a number
-
+
413244202340 = 2251931181193813
BaseRepresentation
bin1100000001101110100…
…01100001110101100100
31110111122200212120002102
412000313101201311210
523232311003433330
6513501453231232
741566401522554
oct6006721416544
91414580776072
10413244202340
1114a28a640672
126810a792518
132cc794a2868
1416003139164
15ab394d6945
hex6037461d64

413244202340 has 96 divisors (see below), whose sum is σ = 948169098240. Its totient is φ = 150708211200.

The previous prime is 413244202331. The next prime is 413244202351. The reversal of 413244202340 is 43202442314.

It is a super-2 number, since 2×4132442023402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2035274 + ... + 2229086.

It is an arithmetic number, because the mean of its divisors is an integer number (9876761440).

Almost surely, 2413244202340 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 413244202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474084549120).

413244202340 is an abundant number, since it is smaller than the sum of its proper divisors (534924895900).

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

413244202340 is a wasteful number, since it uses less digits than its factorization.

413244202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194053 (or 194051 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 413244202340 its reverse (43202442314), we get a palindrome (456446644654).

The spelling of 413244202340 in words is "four hundred thirteen billion, two hundred forty-four million, two hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 181 190 310 362 380 589 620 724 905 1178 1810 2356 2945 3439 3620 5611 5890 6878 11222 11780 13756 17195 22444 28055 34390 56110 68780 106609 112220 193813 213218 387626 426436 533045 775252 969065 1066090 1938130 2132180 3682447 3876260 6008203 7364894 12016406 14729788 18412235 24032812 30041015 35080153 36824470 60082030 70160306 73648940 114155857 120164060 140320612 175400765 228311714 350801530 456623428 570779285 666522907 701603060 1087484743 1141558570 1333045814 2174969486 2283117140 2666091628 3332614535 4349938972 5437423715 6665229070 10874847430 13330458140 20662210117 21749694860 41324420234 82648840468 103311050585 206622101170 413244202340