Search a number
-
+
42331114436200 = 23521513174421743
BaseRepresentation
bin10011001111111111110110…
…00010011111011001101000
312112212211000011000000110121
421213333323002133121220
521022023110243424300
6230010351232453024
711626215322603222
oct1147777302373150
9175784004000417
1042331114436200
1112540585590637
1248b80786aa174
131a80a64b89315
14a64ba0531412
154d61e1c6a81a
hex267ffb09f668

42331114436200 has 96 divisors (see below), whose sum is σ = 99384179362560. Its totient is φ = 16767245664000.

The previous prime is 42331114436183. The next prime is 42331114436231. The reversal of 42331114436200 is 263441113324.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7362529 + ... + 11784271.

It is an arithmetic number, because the mean of its divisors is an integer number (1035251868360).

Almost surely, 242331114436200 is an apocalyptic number.

42331114436200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331114436200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49692089681280).

42331114436200 is an abundant number, since it is smaller than the sum of its proper divisors (57053064926360).

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

42331114436200 is a wasteful number, since it uses less digits than its factorization.

42331114436200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422227 (or 4422218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 42331114436200 its reverse (263441113324), we get a palindrome (42594555549524).

The spelling of 42331114436200 in words is "forty-two trillion, three hundred thirty-one billion, one hundred fourteen million, four hundred thirty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 317 604 634 755 1208 1268 1510 1585 2536 3020 3170 3775 6040 6340 7550 7925 12680 15100 15850 30200 31700 47867 63400 95734 191468 239335 382936 478670 957340 1196675 1914680 2393350 4421743 4786700 8843486 9573400 17686972 22108715 35373944 44217430 88434860 110543575 176869720 221087150 442174300 667683193 884348600 1335366386 1401692531 2670732772 2803385062 3338415965 5341465544 5606770124 6676831930 7008462655 11213540248 13353663860 14016925310 16692079825 26707327720 28033850620 33384159650 35042313275 56067701240 66768319300 70084626550 133536638600 140169253100 211655572181 280338506200 423311144362 846622288724 1058277860905 1693244577448 2116555721810 4233111443620 5291389304525 8466222887240 10582778609050 21165557218100 42331114436200