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21241320144 = 2431147983987
BaseRepresentation
bin10011110010000101…
…001101001011010000
32000211100021212100220
4103302011031023100
5322000234221034
613431431113040
71351244146032
oct236205151320
960740255326
1021241320144
119010198240
124149812780
1320069087b5
1410570cdc52
15844c19749
hex4f214d2d0

21241320144 has 80 divisors (see below), whose sum is σ = 59987589120. Its totient is φ = 6423249280.

The previous prime is 21241320137. The next prime is 21241320179. The reversal of 21241320144 is 44102314212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210919 + ... + 294905.

It is an arithmetic number, because the mean of its divisors is an integer number (749844864).

Almost surely, 221241320144 is an apocalyptic number.

21241320144 is a gapful number since it is divisible by the number (24) 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 21241320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29993794560).

21241320144 is an abundant number, since it is smaller than the sum of its proper divisors (38746268976).

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

21241320144 is a wasteful number, since it uses less digits than its factorization.

21241320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84488 (or 84482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21241320144 its reverse (44102314212), we get a palindrome (65343634356).

The spelling of 21241320144 in words is "twenty-one billion, two hundred forty-one million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 479 528 958 1437 1916 2874 3832 5269 5748 7664 10538 11496 15807 21076 22992 31614 42152 63228 83987 84304 126456 167974 251961 252912 335948 503922 671896 923857 1007844 1343792 1847714 2015688 2771571 3695428 4031376 5543142 7390856 11086284 14781712 22172568 40229773 44345136 80459546 120689319 160919092 241378638 321838184 442527503 482757276 643676368 885055006 965514552 1327582509 1770110012 1931029104 2655165018 3540220024 5310330036 7080440048 10620660072 21241320144