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21432143040 = 2635711289937
BaseRepresentation
bin10011111101011101…
…001000110011000000
32001022122100200011120
4103331131020303000
5322343112034130
613502405112240
71356052132020
oct237535106300
961278320146
1021432143040
1190a8982310
1241a16b8680
1320372cb959
1410745a3a80
1585685e910
hex4fd748cc0

21432143040 has 224 divisors, whose sum is σ = 84838178304. Its totient is φ = 4453416960.

The previous prime is 21432143039. The next prime is 21432143041. The reversal of 21432143040 is 4034123412.

It is an interprime number because it is at equal distance from previous prime (21432143039) and next prime (21432143041).

It is a tau number, because it is divible by the number of its divisors (224).

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 21432143040.

It is not an unprimeable number, because it can be changed into a prime (21432143041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71049 + ... + 218888.

Almost surely, 221432143040 is an apocalyptic number.

21432143040 is a gapful number since it is divisible by the number (20) 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 21432143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42419089152).

21432143040 is an abundant number, since it is smaller than the sum of its proper divisors (63406035264).

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

21432143040 is a wasteful number, since it uses less digits than its factorization.

21432143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289975 (or 289965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21432143040 its reverse (4034123412), we get a palindrome (25466266452).

The spelling of 21432143040 in words is "twenty-one billion, four hundred thirty-two million, one hundred forty-three thousand, forty".