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20413423440 = 2433513037253
BaseRepresentation
bin10011000000101111…
…000001111101010000
31221200122110100121000
4103000233001331100
5313301314022230
613213334302000
71321602144024
oct230057017520
957618410530
1020413423440
118725933193
123b584b7900
131c042390a7
14db9182384
157e71d1b60
hex4c0bc1f50

20413423440 has 160 divisors (see below), whose sum is σ = 70376567040. Its totient is φ = 5438651904.

The previous prime is 20413423417. The next prime is 20413423441. The reversal of 20413423440 is 4432431402.

It is a happy number.

20413423440 is a `hidden beast` number, since 204 + 13 + 4 + 2 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413423441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2810854 + ... + 2818106.

It is an arithmetic number, because the mean of its divisors is an integer number (439853544).

Almost surely, 220413423440 is an apocalyptic number.

20413423440 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 20413423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35188283520).

20413423440 is an abundant number, since it is smaller than the sum of its proper divisors (49963143600).

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

20413423440 is a wasteful number, since it uses less digits than its factorization.

20413423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 20413423440 its reverse (4432431402), we get a palindrome (24845854842).

The spelling of 20413423440 in words is "twenty billion, four hundred thirteen million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1303 2160 2606 3909 5212 6515 7253 7818 10424 11727 13030 14506 15636 19545 20848 21759 23454 26060 29012 31272 35181 36265 39090 43518 46908 52120 58024 58635 62544 65277 70362 72530 78180 87036 93816 104240 108795 116048 117270 130554 140724 145060 156360 174072 175905 187632 195831 217590 234540 261108 281448 290120 312720 326385 348144 351810 391662 435180 469080 522216 562896 580240 652770 703620 783324 870360 938160 979155 1044432 1305540 1407240 1566648 1740720 1958310 2611080 2814480 3133296 3916620 5222160 7833240 9450659 15666480 18901318 28351977 37802636 47253295 56703954 75605272 85055931 94506590 113407908 141759885 151210544 170111862 189013180 226815816 255167793 283519770 340223724 378026360 425279655 453631632 510335586 567039540 680447448 756052720 850559310 1020671172 1134079080 1275838965 1360894896 1701118620 2041342344 2268158160 2551677930 3402237240 4082684688 5103355860 6804474480 10206711720 20413423440