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20404044240 = 2435101841751
BaseRepresentation
bin10011000000001011…
…010000000111010000
31221122222210211202020
4103000023100013100
5313241413403430
613212401251440
71321426341306
oct230013200720
957588724666
1020404044240
118720607488
123b55333b80
131c02303c78
14db7c20276
157e647cb10
hex4c02d01d0

20404044240 has 80 divisors (see below), whose sum is σ = 63878875776. Its totient is φ = 5387200000.

The previous prime is 20404044233. The next prime is 20404044259. The reversal of 20404044240 is 4244040402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20404044240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396636 + ... + 445115.

Almost surely, 220404044240 is an apocalyptic number.

20404044240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20404044240 is an abundant number, since it is smaller than the sum of its proper divisors (43474831536).

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

20404044240 is a wasteful number, since it uses less digits than its factorization.

20404044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841868 (or 841862 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20404044240 its reverse (4244040402), we get a palindrome (24648084642).

The spelling of 20404044240 in words is "twenty billion, four hundred four million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 841751 1683502 2525253 3367004 4208755 5050506 6734008 8417510 10101012 12626265 13468016 16835020 20202024 25252530 33670040 40404048 50505060 67340080 85016851 101010120 170033702 202020240 255050553 340067404 425084255 510101106 680134808 850168510 1020202212 1275252765 1360269616 1700337020 2040404424 2550505530 3400674040 4080808848 5101011060 6801348080 10202022120 20404044240