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20342411420 = 225311031132819
BaseRepresentation
bin10010111100100000…
…001001000010011100
31221111200211120102012
4102330200021002130
5313130124131140
613202320250352
71320050433632
oct227440110234
957450746365
1020342411420
118699840871
123b387709b8
131bc2604a46
14dad979352
157e0d56265
hex4bc80909c

20342411420 has 96 divisors (see below), whose sum is σ = 44935188480. Its totient is φ = 7726279680.

The previous prime is 20342411377. The next prime is 20342411443. The reversal of 20342411420 is 2411424302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7214771 + ... + 7217589.

It is an arithmetic number, because the mean of its divisors is an integer number (468074880).

Almost surely, 220342411420 is an apocalyptic number.

20342411420 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 20342411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467594240).

20342411420 is an abundant number, since it is smaller than the sum of its proper divisors (24592777060).

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

20342411420 is a wasteful number, since it uses less digits than its factorization.

20342411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20342411420 its reverse (2411424302), we get a palindrome (22753835722).

The spelling of 20342411420 in words is "twenty billion, three hundred forty-two million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 103 113 124 155 206 226 310 412 452 515 565 620 1030 1130 2060 2260 2819 3193 3503 5638 6386 7006 11276 11639 12772 14012 14095 15965 17515 23278 28190 31930 35030 46556 56380 58195 63860 70060 87389 116390 174778 232780 290357 318547 349556 360809 436945 580714 637094 721618 873890 1161428 1274188 1443236 1451785 1592735 1747780 1804045 2903570 3185470 3608090 5807140 6370940 7216180 9001067 9874957 18002134 19749914 32810341 36004268 39499828 45005335 49374785 65620682 90010670 98749570 131241364 164051705 180021340 197499140 328103410 656206820 1017120571 2034241142 4068482284 5085602855 10171205710 20342411420