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21433200340 = 2256117568197
BaseRepresentation
bin10011111101100001…
…001010111011010100
32001022201100101111211
4103331201022323110
5322343344402330
613502443511204
71356064124356
oct237541127324
961281311454
1021433200340
1190a9534712
1241a1b28504
1320375abc86
14107479b0d6
158569bcd2a
hex4fd84aed4

21433200340 has 24 divisors (see below), whose sum is σ = 45747587592. Its totient is φ = 8432734080.

The previous prime is 21433200311. The next prime is 21433200353. The reversal of 21433200340 is 4300233412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1621511824 + 19811688516 = 40268^2 + 140754^2 .

It is a super-2 number, since 2×214332003402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8782879 + ... + 8785318.

It is an arithmetic number, because the mean of its divisors is an integer number (1906149483).

Almost surely, 221433200340 is an apocalyptic number.

21433200340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21433200340 is an abundant number, since it is smaller than the sum of its proper divisors (24314387252).

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

21433200340 is a wasteful number, since it uses less digits than its factorization.

21433200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17568267 (or 17568265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21433200340 its reverse (4300233412), we get a palindrome (25733433752).

The spelling of 21433200340 in words is "twenty-one billion, four hundred thirty-three million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 17568197 35136394 70272788 87840985 175681970 351363940 1071660017 2143320034 4286640068 5358300085 10716600170 21433200340