Search a number
-
+
20243102404400 = 24521031787274951
BaseRepresentation
bin1001001101001001101101…
…11011011000111100110000
32122200012222121112012102022
410212210312323120330300
510123130333203420100
6111015315230211012
74156341643250321
oct446446673307460
978605877465368
1020243102404400
1164a5062630657
12232b2ba053a68
13b3abbb3429c5
144ddab296c448
15251882362e85
hex126936ed8f30

20243102404400 has 120 divisors (see below), whose sum is σ = 49133887206144. Its totient is φ = 8014110624000.

The previous prime is 20243102404387. The next prime is 20243102404433. The reversal of 20243102404400 is 440420134202.

It is a happy number.

It is a super-2 number, since 2×202431024044002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20243102404400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73486925 + ... + 73761875.

Almost surely, 220243102404400 is an apocalyptic number.

20243102404400 is a gapful number since it is divisible by the number (20) 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 20243102404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566943603072).

20243102404400 is an abundant number, since it is smaller than the sum of its proper divisors (28890784801744).

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

20243102404400 is a wasteful number, since it uses less digits than its factorization.

20243102404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276859 (or 276848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20243102404400 its reverse (440420134202), we get a palindrome (20683522538602).

The spelling of 20243102404400 in words is "twenty trillion, two hundred forty-three billion, one hundred two million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 200 206 400 412 515 824 1030 1648 1787 2060 2575 3574 4120 5150 7148 8240 8935 10300 14296 17870 20600 28592 35740 41200 44675 71480 89350 142960 178700 184061 274951 357400 368122 549902 714800 736244 920305 1099804 1374755 1472488 1840610 2199608 2749510 2944976 3681220 4399216 4601525 5499020 6873775 7362440 9203050 10998040 13747550 14724880 18406100 21996080 27495100 28319953 36812200 54990200 56639906 73624400 109980400 113279812 141599765 226559624 283199530 453119248 491337437 566399060 707998825 982674874 1132798120 1415997650 1965349748 2265596240 2456687185 2831995300 3930699496 4913374370 5663990600 7861398992 9826748740 11327981200 12283435925 19653497480 24566871850 39306994960 49133743700 50607756011 98267487400 101215512022 196534974800 202431024044 253038780055 404862048088 506077560110 809724096176 1012155120220 1265193900275 2024310240440 2530387800550 4048620480880 5060775601100 10121551202200 20243102404400