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20410104144 = 2431915214273
BaseRepresentation
bin10011000000100010…
…010111100101010000
31221200102012201101010
4103000202113211100
5313244441313034
613213135210520
71321532010543
oct230042274520
957612181333
1020410104144
118723a76371
123b57376a40
131c03646301
14db895a85a
157e6c783e9
hex4c0897950

20410104144 has 80 divisors (see below), whose sum is σ = 53116314624. Its totient is φ = 6753177600.

The previous prime is 20410104119. The next prime is 20410104149. The reversal of 20410104144 is 44140101402.

It is a self number, because there is not a number n which added to its sum of digits gives 20410104144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410104149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4774392 + ... + 4778664.

Almost surely, 220410104144 is an apocalyptic number.

20410104144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20410104144 is an abundant number, since it is smaller than the sum of its proper divisors (32706210480).

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

20410104144 is a wasteful number, since it uses less digits than its factorization.

20410104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 20410104144 its reverse (44140101402), we get a palindrome (64550205546).

The spelling of 20410104144 in words is "twenty billion, four hundred ten million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 191 382 521 573 764 1042 1146 1528 1563 2084 2292 3056 3126 4168 4273 4584 6252 8336 8546 9168 12504 12819 17092 25008 25638 34184 51276 68368 99511 102552 199022 205104 298533 398044 597066 796088 816143 1194132 1592176 1632286 2226233 2388264 2448429 3264572 4452466 4776528 4896858 6529144 6678699 8904932 9793716 13058288 13357398 17809864 19587432 26714796 35619728 39174864 53429592 106859184 425210503 850421006 1275631509 1700842012 2551263018 3401684024 5102526036 6803368048 10205052072 20410104144