Search a number
-
+
20024044442244 = 22328949511262311
BaseRepresentation
bin1001000110110001101100…
…00011100101001010000100
32121220021120002022201122200
410203120312003211022010
510111033220334122434
6110330530301554500
74134455326301403
oct443306603451204
977807502281580
1020024044442244
116420171075407
1222b4963b75a30
13b2334a87085b
144d325174563a
1524ad10c05199
hex1236360e5284

20024044442244 has 72 divisors (see below), whose sum is σ = 51195436306560. Its totient is φ = 6598346832000.

The previous prime is 20024044442243. The next prime is 20024044442261. The reversal of 20024044442244 is 44224444042002.

20024044442244 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 404 + 4 + 4 + 4 + 2 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20024044442199 and 20024044442208.

It is not an unprimeable number, because it can be changed into a prime (20024044442243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15231849 + ... + 16494159.

It is an arithmetic number, because the mean of its divisors is an integer number (711047726480).

Almost surely, 220024044442244 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 20024044442244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25597718153280).

20024044442244 is an abundant number, since it is smaller than the sum of its proper divisors (31171391864316).

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

20024044442244 is a wasteful number, since it uses less digits than its factorization.

20024044442244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267361 (or 1267356 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 20024044442244 its reverse (44224444042002), we get a palindrome (64248488484246).

The spelling of 20024044442244 in words is "twenty trillion, twenty-four billion, forty-four million, four hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 4951 9902 14853 19804 29706 44559 59412 89118 178236 440639 881278 1262311 1321917 1762556 2524622 2643834 3786933 3965751 5049244 5287668 7573866 7931502 11360799 15147732 15863004 22721598 45443196 112345679 224691358 337037037 449382716 674074074 1011111111 1348148148 2022222222 4044444444 6249701761 12499403522 18749105283 24998807044 37498210566 56247315849 74996421132 112494631698 224989263396 556223456729 1112446913458 1668670370187 2224893826916 3337340740374 5006011110561 6674681480748 10012022221122 20024044442244