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21401424144 = 2432193770057
BaseRepresentation
bin10011111011100111…
…111101000100010000
32001020111112222202200
4103323213331010100
5322312231033034
613455350443200
71355230050402
oct237347750420
961214488680
1021401424144
1190926007a1
124193363500
132030b346a9
141070488b72
15853ce2a99
hex4fb9fd110

21401424144 has 60 divisors (see below), whose sum is σ = 60204674556. Its totient is φ = 7096836096.

The previous prime is 21401424127. The next prime is 21401424223. The reversal of 21401424144 is 44142410412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6121497600 + 15279926544 = 78240^2 + 123612^2 .

It is a super-2 number, since 2×214014241442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357237 + ... + 412820.

Almost surely, 221401424144 is an apocalyptic number.

21401424144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21401424144 is an abundant number, since it is smaller than the sum of its proper divisors (38803250412).

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

21401424144 is a wasteful number, since it uses less digits than its factorization.

21401424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770264 (or 770255 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 21401424144 its reverse (44142410412), we get a palindrome (65543834556).

The spelling of 21401424144 in words is "twenty-one billion, four hundred one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 13896 27792 770057 1540114 2310171 3080228 4620342 6160456 6930513 9240684 12320912 13861026 18481368 27722052 36962736 55444104 110888208 148621001 297242002 445863003 594484004 891726006 1188968008 1337589009 1783452012 2377936016 2675178018 3566904024 5350356036 7133808048 10700712072 21401424144