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421341754032 = 243267200321803
BaseRepresentation
bin1100010000110011110…
…11001111001010110000
31111021120000211210202100
412020121323033022300
523400401442112112
6521321200020400
742304145550153
oct6103173171260
91437500753670
10421341754032
11152765488051
12697aa601700
1330969cacc74
1416570757c9a
15ae603512dc
hex6219ecf2b0

421341754032 has 120 divisors (see below), whose sum is σ = 1197423699264. Its totient is φ = 138275609472.

The previous prime is 421341754021. The next prime is 421341754063. The reversal of 421341754032 is 230457143124.

421341754032 is a `hidden beast` number, since 42 + 1 + 3 + 41 + 7 + 540 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 19314043 + ... + 19335845.

Almost surely, 2421341754032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421341754032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598711849632).

421341754032 is an abundant number, since it is smaller than the sum of its proper divisors (776081945232).

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

421341754032 is a wasteful number, since it uses less digits than its factorization.

421341754032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23887 (or 23878 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 421341754032 its reverse (230457143124), we get a palindrome (651798897156).

The spelling of 421341754032 in words is "four hundred twenty-one billion, three hundred forty-one million, seven hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 804 1072 1206 1608 2003 2412 3216 4006 4824 6009 8012 9648 12018 16024 18027 21803 24036 32048 36054 43606 48072 65409 72108 87212 96144 130818 134201 144216 174424 196227 261636 268402 288432 348848 392454 402603 523272 536804 784908 805206 1046544 1073608 1207809 1460801 1569816 1610412 2147216 2415618 2921602 3139632 3220824 4382403 4831236 5843204 6441648 8764806 9662472 11686408 13147209 17529612 19324944 23372816 26294418 35059224 43671409 52588836 70118448 87342818 105177672 131014227 174685636 210355344 262028454 349371272 393042681 524056908 698742544 786085362 1048113816 1572170724 2096227632 2925984403 3144341448 5851968806 6288682896 8777953209 11703937612 17555906418 23407875224 26333859627 35111812836 46815750448 52667719254 70223625672 105335438508 140447251344 210670877016 421341754032