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421224005040 = 243510211719001
BaseRepresentation
bin1100010000100101110…
…10000011110110110000
31111021020211021112111120
412020102322003312300
523400131321130130
6521301352142240
742301215652506
oct6102272036660
91437224245446
10421224005040
11152704a73533
1269777097980
133094b7937c7
141655cc66676
15ae54d42910
hex6212e83db0

421224005040 has 80 divisors (see below), whose sum is σ = 1307074112736. Its totient is φ = 112216320000.

The previous prime is 421224005029. The next prime is 421224005077. The reversal of 421224005040 is 40500422124.

It is a happy number.

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 421224005040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614461 + ... + 1104540.

Almost surely, 2421224005040 is an apocalyptic number.

421224005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421224005040 is an abundant number, since it is smaller than the sum of its proper divisors (885850107696).

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

421224005040 is a wasteful number, since it uses less digits than its factorization.

421224005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720038 (or 1720032 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 421224005040 its reverse (40500422124), we get a palindrome (461724427164).

The spelling of 421224005040 in words is "four hundred twenty-one billion, two hundred twenty-four million, five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1021 2042 3063 4084 5105 6126 8168 10210 12252 15315 16336 20420 24504 30630 40840 49008 61260 81680 122520 245040 1719001 3438002 5157003 6876004 8595005 10314006 13752008 17190010 20628012 25785015 27504016 34380020 41256024 51570030 68760040 82512048 103140060 137520080 206280120 412560240 1755100021 3510200042 5265300063 7020400084 8775500105 10530600126 14040800168 17551000210 21061200252 26326500315 28081600336 35102000420 42122400504 52653000630 70204000840 84244801008 105306001260 140408001680 210612002520 421224005040