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421132337472 = 263711318311071
BaseRepresentation
bin1100010000011010111…
…00011000000101000000
31111021000102210100020110
412020031130120011000
523344434334244342
6521244315311320
742266023543230
oct6101534300500
91437012710213
10421132337472
11152668253310
126975044b540
13309357a9842
1416550a03cc0
15ae4bc86c9c
hex620d718140

421132337472 has 448 divisors, whose sum is σ = 1451410587648. Its totient is φ = 104571648000.

The previous prime is 421132337443. The next prime is 421132337491. The reversal of 421132337472 is 274733231124.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4211323374723 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 421132337472.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38033697 + ... + 38044767.

It is an arithmetic number, because the mean of its divisors is an integer number (3239755776).

Almost surely, 2421132337472 is an apocalyptic number.

421132337472 is a gapful number since it is divisible by the number (42) 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 421132337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725705293824).

421132337472 is an abundant number, since it is smaller than the sum of its proper divisors (1030278250176).

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

421132337472 is a wasteful number, since it uses less digits than its factorization.

421132337472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11218 (or 11208 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

Adding to 421132337472 its reverse (274733231124), we get a palindrome (695865568596).

The spelling of 421132337472 in words is "four hundred twenty-one billion, one hundred thirty-two million, three hundred thirty-seven thousand, four hundred seventy-two".