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20424041430 = 23513796011103
BaseRepresentation
bin10011000001010111…
…100010001111010110
31221201101102210201220
4103001113202033112
5313312023311210
613214354031210
71322061326202
oct230127421726
957641383656
1020424041430
118730925691
123b5bb78506
131c064b6020
14dba747b02
157e80ccc70
hex4c15e23d6

20424041430 has 128 divisors (see below), whose sum is σ = 53593989120. Its totient is φ = 4951065600.

The previous prime is 20424041399. The next prime is 20424041441. The reversal of 20424041430 is 3414042402.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20424041430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18516259 + ... + 18517361.

It is an arithmetic number, because the mean of its divisors is an integer number (418703040).

Almost surely, 220424041430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20424041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26796994560).

20424041430 is an abundant number, since it is smaller than the sum of its proper divisors (33169947690).

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

20424041430 is a wasteful number, since it uses less digits than its factorization.

20424041430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20424041430 its reverse (3414042402), we get a palindrome (23838083832).

The spelling of 20424041430 in words is "twenty billion, four hundred twenty-four million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 601 790 1027 1103 1185 1202 1803 2054 2206 2370 3005 3081 3309 3606 5135 5515 6010 6162 6618 7813 9015 10270 11030 14339 15405 15626 16545 18030 23439 28678 30810 33090 39065 43017 46878 47479 71695 78130 86034 87137 94958 117195 142437 143390 174274 215085 234390 237395 261411 284874 430170 435685 474790 522822 617227 662903 712185 871370 1132781 1234454 1307055 1325806 1424370 1851681 1988709 2265562 2614110 3086135 3314515 3398343 3703362 3977418 5663905 6172270 6629030 6796686 8617739 9258405 9943545 11327810 16991715 17235478 18516810 19887090 25853217 33983430 43088695 51706434 52369337 86177390 104738674 129266085 157108011 258532170 261846685 314216022 523693370 680801381 785540055 1361602762 1571080110 2042404143 3404006905 4084808286 6808013810 10212020715 20424041430