Search a number
-
+
244242433000 = 2353892744297
BaseRepresentation
bin1110001101110111111…
…0111100001111101000
3212100102200020011000001
43203131332330033220
513000202030324000
6304111534552344
723434361266066
oct3433576741750
9770380204001
10244242433000
1194645538a15
123b4043686b4
131a0552b6507
14bb6dcad036
15654761d46a
hex38ddfbc3e8

244242433000 has 64 divisors (see below), whose sum is σ = 577949158800. Its totient is φ = 96599219200.

The previous prime is 244242432979. The next prime is 244242433003. The reversal of 244242433000 is 334242442.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24823262916 + 219419170084 = 157554^2 + 468422^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 244242433000.

It is not an unprimeable number, because it can be changed into a prime (244242433003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283149 + ... + 1461148.

Almost surely, 2244242433000 is an apocalyptic number.

244242433000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244242433000 is an abundant number, since it is smaller than the sum of its proper divisors (333706725800).

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

244242433000 is a wasteful number, since it uses less digits than its factorization.

244242433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744407 (or 2744393 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 244242433000 its reverse (334242442), we get a palindrome (244576675442).

The spelling of 244242433000 in words is "two hundred forty-four billion, two hundred forty-two million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1780 2225 3560 4450 8900 11125 17800 22250 44500 89000 2744297 5488594 10977188 13721485 21954376 27442970 54885940 68607425 109771880 137214850 244242433 274429700 343037125 488484866 548859400 686074250 976969732 1221212165 1372148500 1953939464 2442424330 2744297000 4884848660 6106060825 9769697320 12212121650 24424243300 30530304125 48848486600 61060608250 122121216500 244242433000